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* Corresponding author. Tel.: +9831568294 (M), +33-2548-2655 (R) E-mail address: [email protected] (S. Chakraborty) © 2019 by the authors; licensee Growing Science, Canada doi: 10.5267/j.msl.2018.12.004 Management Science Letters 9 (2019) 467–494 Contents lists available at GrowingScience Management Science Letters homepage: www.GrowingScience.com/msl Applications of optimization techniques for parametric analysis of non-traditional machining processes: A Review Shankar Chakraborty a* , Bijoy Bhattacharyya a and Sunny Diyaley b a Department of Production Engineering, Jadavpur University, Kolkata, West Bengal, India b Department of Mechanical Engineering, Sikkim Manipal Institute of Technology, Majitar, Sikkim, India C H R O N I C L E A B S T R A C T Article history: Received: October 27, 2018 Received in revised format: No- vember 28, 2018 Accepted: December 7, 2018 Available online: December 7, 2018 The constrained applications of conventional machining processes in generating complex shape geometries with the desired degree of tolerance and surface finish in various advanced engineering materials are being gradually compensated by the non-traditional machining (NTM) processes. These NTM processes usually have higher procurement, maintenance, operating and tooling cost. Hence, in order to attain their maximum machining performance, they are usually operated at their optimal or near optimal parametric settings which can easily be determined by the application of different optimization techniques. In this paper, 133 international research papers published during 2012-16 on parametric optimization of NTM processes are extensively reviewed to have an idea on the selected process parameters, observed responses, work materials machined and optimization techniques employed in those processes while generating varying part geometries for their indus- trial use. It is observed that electro discharge machining is the mostly employed NTM process, applied voltage is the identified process parameter with maximum importance, surface roughness and material removal rate are the two maximally preferred responses, different steel grades are the mostly machined work materials and grey relational analysis is the most popular tool utilized for parametric optimization of NTM processes. These observations would help the process engineers to attain the machining performance of the NTM processes at their fullest extents for different work material and shape feature combinations. © 2019 by the authors; licensee Growing Science, Canada Keywords: Non-traditional machining pro- cess Response Process parameter Work material Optimization 1. Introduction Difficulties in machining complicated and intricate shape features in varied hard-to-machine, high- strength-temperature-resistant materials, superalloys, metal matrix composites (MMCs) and other ad- vanced engineering materials for aviation, nuclear power, wafer fabrication and automobile applica- tions using conventional machining processes have caused to the evolution of an array of non-tradi- tional machining (NTM) processes. In conventional material removal processes, like turning, milling, shaping, drilling etc., forces are applied on the workpiece with the help of a cutting tool to remove excess material in the form of chips. It induces plastic deformation within the workpiece leading to material removal due to shear action. On the other hand, in NTM processes, instead of employing sharp

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  • * Corresponding author. Tel.: +9831568294 (M), +33-2548-2655 (R) E-mail address: [email protected] (S. Chakraborty) © 2019 by the authors; licensee Growing Science, Canada doi: 10.5267/j.msl.2018.12.004

      

        

    Management Science Letters 9 (2019) 467–494

    Contents lists available at GrowingScience

    Management Science Letters

    homepage: www.GrowingScience.com/msl

    Applications of optimization techniques for parametric analysis of non-traditional machining processes: A Review

    Shankar Chakrabortya*, Bijoy Bhattacharyyaa and Sunny Diyaleyb

    aDepartment of Production Engineering, Jadavpur University, Kolkata, West Bengal, India bDepartment of Mechanical Engineering, Sikkim Manipal Institute of Technology, Majitar, Sikkim, India C H R O N I C L E A B S T R A C T

    Article history: Received: October 27, 2018 Received in revised format: No-vember 28, 2018 Accepted: December 7, 2018 Available online: December 7, 2018

    The constrained applications of conventional machining processes in generating complex shape geometries with the desired degree of tolerance and surface finish in various advanced engineering materials are being gradually compensated by the non-traditional machining (NTM) processes. These NTM processes usually have higher procurement, maintenance, operating and tooling cost. Hence, in order to attain their maximum machining performance, they are usually operated at their optimal or near optimal parametric settings which can easily be determined by the application of different optimization techniques. In this paper, 133 international research papers published during 2012-16 on parametric optimization of NTM processes are extensively reviewed to have an idea on the selected process parameters, observed responses, work materials machined and optimization techniques employed in those processes while generating varying part geometries for their indus-trial use. It is observed that electro discharge machining is the mostly employed NTM process, applied voltage is the identified process parameter with maximum importance, surface roughness and material removal rate are the two maximally preferred responses, different steel grades are the mostly machined work materials and grey relational analysis is the most popular tool utilized for parametric optimization of NTM processes. These observations would help the process engineers to attain the machining performance of the NTM processes at their fullest extents for different work material and shape feature combinations.

    © 2019 by the authors; licensee Growing Science, Canada

    Keywords: Non-traditional machining pro-cess Response Process parameter Work material Optimization

    1. Introduction Difficulties in machining complicated and intricate shape features in varied hard-to-machine, high-strength-temperature-resistant materials, superalloys, metal matrix composites (MMCs) and other ad-vanced engineering materials for aviation, nuclear power, wafer fabrication and automobile applica-tions using conventional machining processes have caused to the evolution of an array of non-tradi-tional machining (NTM) processes. In conventional material removal processes, like turning, milling, shaping, drilling etc., forces are applied on the workpiece with the help of a cutting tool to remove excess material in the form of chips. It induces plastic deformation within the workpiece leading to material removal due to shear action. On the other hand, in NTM processes, instead of employing sharp

  •  468

    cutting tools, materials are removed using mechanical, thermal, electrical or chemical energy or com-binations of them. In some of the NTM processes, the tool does not even make any contact with the workpiece, and it is also not mandatory that the tool material should have higher hardness than the work material. Basically, in NTM processes, material removal takes place from the workpiece surface in the form of minute particles while attaining superior surface smoothness and dimensional accuracy. These processes are generally classified based on the form of energy deployed for removal of material, i.e.: a) Mechanical processes: Water jet machining (WJM), ultrasonic machining (USM), abrasive jet ma-

    chining (AJM) etc. b) Electrochemical processes: Electrochemical machining (ECM), electro jet drilling (EJD), electro-

    chemical deburring (ECD) etc. c) Electrical thermal processes: Electrical discharge machining (EDM), wire electrical discharge ma-

    chining (WEDM), laser beam machining (LBM), electron beam machining (EBM) etc. d) Chemical processes: Chemical machining (CHM), photochemical machining (PCM) etc. e) Hybrid machining processes: Electrochemical grinding (ECG), electrochemical discharge machin-

    ing (ECDM), electrochemical honing (ECH), abrasive water jet machining (AWJM), travelling wire electrochemical spark machining (TW-ECSM) etc.

    These NTM processes have exceptionally low material removal rate (MRR) and consume excessive specific energy. Most of them have comparatively high procurement cost, tooling and fixture cost, power consumption and operating cost, and maintenance cost. Therefore, for productive and economic exploration of the capacities of NTM processes, their different machining/process parameters need to be optimally selected. Identification of the most relevant process parameters and their settings for any NTM process mainly depend on the expert knowledge and skill of the concerned operator. Sometimes, manufacturer’s catalogues may also help in setting these parametric combinations to achieve the best machining performance. But, in most of the cases, these parametric combinations are conservative and depart from their optimal settings which cause hindrance in full exploitation of the capabilities of NTM processes. Selection of the optimal or near optimal parametric mix for different NTM processes thus becomes a vital decision making task. A variety of analytical techniques in the form of mathematical algorithms has been fruitfully employed for parametric optimization of NTM processes in order to fully explore their machining potentials and capabilities. At this very time, it now becomes essential to have an exhaustive investigation on the application and efficacy of various optimization techniques in deter-mining the best parametric settings for different NTM processes. In this paper, altogether 133 research papers published in different international journals during 2012-16 dealing with the applications of ECM, EDM, WEDM, LBM, USM and hybrid machining (HM) processes in real time manufacturing environment are extensively reviewed. This review mainly fo-cuses on the identification of the type of work material used for the machining operation, machining parameters and responses chosen for the considered NTM processes, nature of the optimization prob-lem developed and optimization technique(s) employed for achieving the best machining performance. The details of this analysis for the six above-mentioned NTM processes are presented here-in-under. 1.1 ECM process The first machining process similar to ECM was patented by Gusseff in 1929, and its successful com-mercial application was started in late 1950s and early 1960s in aerospace and other manufacturing industries to perform shaping and finishing operations. It is a carefully regulated anodic dissolution process to shape the workpiece (anode) using a tool (cathode), approaching towards the workpiece with a constant feed rate. The electrolyte (NaCl, NaNO3) flowing at high speed through the inter-electrode gap usually removes the dissolved metal from the machining zone. Between the pre-shaped cathode tool and the anode workpiece, a DC voltage (10-25 V) is applied, causing atomic level reactions to take

  • S. Chakraborty et al. / Management Science Letters 9 (2019) 469

    place within the electrolytic medium which is mainly responsible for removal of metal from the work-piece to achieve its desired shape. The final workpiece shape thus becomes an approximate negative mirror copy of the tool electrode (Rajurkar et al., 1999). In ECM process, as the mechanical or physical properties of the work material do not influence the material removal mechanism, it can machine different electrically conductive materials regardless of their hardness, toughness or thermal characteristics. Almost all kinds of metal, including high-alloyed nickel, titanium-based alloys, superalloys and MMCs, can be efficiently machined using this process. It has several advantages, like no tool wear, high MRR, good surface finish, no need for deburring operation, and capability of generating complex shape geometries (contours, ring ducts, grooves etc.) for subsequent use in aerospace, automotive, defense and medical industries. Nowadays, it is also being successfully utilized in micro-machining and fabrication (dimensions within 1-999 μm) of engineering components (Bhattacharyya et al., 2002). For achieving maximum benefits from this machining sys-tem, its different process parameters can be selected as applied voltage, current, electrolyte temperature, electrolyte flow rate, electrolyte concentration, inter-electrode gap and tool material (copper, brass or bronze) (Senthilkumar et al., 2013). In view of difficulties encountered from the conventional machin-ing processes, like high tool wear and high tooling cost, this process now proffers an effective alterna-tive to fulfill the requirements of the machining personnel. Table 1 exhibits the details of the research works executed during 2012-16 on parametric optimization of ECM processes. It mainly includes various control parameters and responses selected for ECM op-eration, type of the work material considered for this process and optimization technique(s) adopted for its parametric optimization. The analysis of this information is graphically represented in Fig. 1. From this figure, it can be revealed that among various machining parameters of ECM process, applied volt-age is the most important one, followed by tool feed rate, electrolyte flow rate, electrolyte concentration and inter-electrode gap. With respect to the responses, MRR is provided with the maximum importance, followed by surface roughness and radial overcut. Among the chosen work materials, various grades of steel are maximally machined using ECM processes, followed by different MMCs, and titanium and its alloys. From the parametric optimization point of view, various advanced optimization techniques, like biogeography-based optimization, cuckoo search optimization, artificial bee colony optimization etc. are identified as the most popular methods, followed by grey relational analysis (GRA) and genetic algorithm (GA). In single objective optimization, among all the considered responses, each of them is separately optimized and different parametric combinations are derived for each of the responses which are quite difficult to maintain from the machining point of view. Rather, multi-objective optimization is more practical because in this approach, a unique parametric setting is obtained while simultaneously optimizing all the conflicting responses. Among the 14 research papers identified dealing with para-metric optimization of ECM processes, ten papers considered only multi-objective optimization of the responses, while the remaining papers provided emphasis on both single and multi-objective optimiza-tion of the responses. 1.2 EDM process Although, Joseph Preistly first observed the principles of the EDM process in 1770, two Soviet re-searchers, the Lazarenkos’, succeeded in the development of a machining process in the 1940’s that formed the foundation for the present EDM system. In this process, electrical energy is utilized to originate electrical spark between an electrode and a workpiece, and material removal principally takes place due to electro-discharge erosion. An intense heat with temperature between 8000o-12000o C is generated by this electric spark, which when carefully controlled and localized, can only affect the workpiece surface. The metal removal mechanism is based on the application of a pulsating (on/off) electrical charge carrying high frequency current through the electrode to the workpiece, which causes controlled erosion of minute particles of metal from the workpiece. Instant vapourization and melting of the material are thus responsible for material removal. The tool and the work material are submerged

  •  470

    in a dielectric medium (kerosene or deionized water which also acts as a coolant and washes out the eroded metal particles), and a gap is steadily maintained between the tool and the workpiece. In EDM process, both the tool and the workpiece material must be good conductor of electricity. Thus, any material that is electrically conductive (steel, titanium, superalloys, brass etc.) can easily be machined using this process (Ho and Newman, 2003). Its major advantages include limited heat affected zone (HAZ), surface hardening, no burr formation, generation of complex part geometries and faster ma-chining operation. It has huge applications in die and mold making industries. Its various control pa-rameters are open circuit voltage, spark gap, pulse-on time, pulse-off time, maximum (peak) current, polarity, dielectric medium etc.

    (a)

    (b)

    (c) (d)

    Fig. 1 Analysis on the parametric optimization of ECM processes A list of the reviewed research papers on parametric optimization of EDM processes is provided in Table 2. On the other hand, the pertinent information regarding the process parameters and responses selected, work materials machined and optimization techniques adopted are provided in Fig. 2. It can be revealed from this figure that supply current, pulse-on time and pulse-off time are the three most predominant parameters for EDM process. They are subsequently followed by other parameters, like gap voltage, duty factor/duty cycle, applied voltage, tool rotational speed, pulse duration, tool electrode lift time, flushing pressure etc. according to their preference. Some least important process parameters, like feed rate, work time, capacitance, machining polarity, dielectric level, tool material, dielectric flow rate, aspect ratio of the tool, no load voltage, inter-electrode gap etc. are merged together into a single group (treated as others). These parameters are not so common in EDM processes, and their availability and settings mainly count on the type of EDM machine employed for material removal and part gener-ation. Among the responses, MRR, surface roughness and electrode wear rate (EWR) have the maxi-mum importance, followed by overcut, taper ratio, white layer thickness, surface crack density etc. Circularity, process energy, residual stress, process time, dielectric consumption etc. are identified as the least important responses. It is interestingly noted that different grades of steel (mainly AISI varie-ties) and alloys (Inconel 718, Invar, aluminum alloys and Rene 80) are the widely machined work

    02468

    101214

    0

    2

    4

    6

    8

    10

    12

    14

    MRR Surfaceroughness

    Overcut Cylindricity

    0

    1

    2

    3

    4

    5

    Steels MMCs Ti and itsalloys

    Tungstencarbide

    Otheralloys

    0

    1

    2

    3

    4

  • S. Chakraborty et al. / Management Science Letters 9 (2019) 471

    materials using EDM process. Different MMCs, titanium and its alloys, and ceramics (aluminum oxide) are also machined by this process. For parametric optimization of EDM process, GRA is the most popular technique, followed by the other advanced optimization methods (like bio-geography based optimization, teaching learning-based optimization, particle swarm optimization etc.), principal com-ponent analysis (PCA), non-sorting genetic algorithm (NSGA-II), desirability function, neural net-works (NN), simulated annealing (SA) etc. For this process, only a single paper considered single ob-jective optimization, 31 papers attempted multi-objective optimization and the remaining four papers took into account both single and multi-objective optimization of the responses. 1.3 WEDM process The principle of material removal in WEDM process is quite identical to that of EDM process. In this process, material is gradually worn out from the workpiece using a series of sparks generating between the workpiece and the wire isolated by a flow of dielectric fluid. This fluid is continuously supplied into the machining zone, enabling complex shapes being generated with high accuracy. The wire is made of thin copper, tungsten or brass having diameter 0.05-0.3 mm. Because of its versatility, it is used in several areas, like aviation, medical, electronics and semiconductor applications, tool and die making industries, manufacturing of fixtures, gauges, cams, gears, strippers, punches, electrodes etc. As this process employs no force and does not form burrs, it can be effectively applied for machining of delicate parts (Ho et al., 2004). Its different process parameters include peak current, supply voltage, pulse-on time, pulse-off time, polarity, work material, size and speed of wire, feed rate, gain, rate of flushing, type of the dielectric medium etc. Table 1 Parameters, responses, work materials and optimization techniques considered in ECM processes

    Sl. No.

    Name of the authors Work material machined

    Single/ Multi-

    objective

    Optimization tool(s) adopted

    Process parameters Responses

    1. Abuzied et al. (2012) - Multiple Artificial neural network

    Electrolyte flow rate, applied volt-age, tool feed rate

    MRR, surface roughness

    2. Dhobe et al. (2014)

    Titanium Both Quality loss function Electrolyte concentration, electrolyte flow rate, tool feed rate, inter-elec-trode gap, applied voltage

    MRR, surface roughness

    3. Gopal and Chakrachar (2012)

    EN31 steel Multiple Grey relational analysis

    Electrolyte concentration, applied voltage, tool feed rate

    MRR, overcut, cylindricity

    4. Jegan et al. (2013) Metal matrix composites

    Multiple Weighted sum genetic algorithm

    Current, applied voltage, tool feed rate, electrolyte concentration

    MRR, surface roughness

    5. Kalaimathi et al. (2014)

    Monel 400 alloy Multiple Desirability function Inter-electrode gap, applied voltage, electrolyte concentration

    MRR, surface roughness

    6. Manikandan et al. (2015)

    Ti-6Al-4V titanium alloy

    Both Grey relational analysis

    Tool feed rate, electrolyte concentration, electrolyte flow rate

    MRR, overcut

    7. Mukherjee and Chakraborty (2013)

    EN8 steel

    Both

    Biogeography-based optimization

    Electrolyte concentration, applied voltage, electrolyte flow rate, inter-electrode gap

    MRR, overcut

    8. Rao and Pad-manabham (2015)

    Aluminium matrix and boron carbide metal matrix com-

    posite

    Both Utility concept Applied voltage, electrolyte flow rate, tool feed rate, reinforcement content

    MRR, surface roughness, radial overcut

    9. Sathiyamoorthy et al. (2015)

    High carbon high chromium die tool

    steel

    Multiple Genetic algorithm Applied voltage, inter-electrode gap, tool feed rate, electrolyte discharge rate

    MRR, surface roughness

    10. Sathiyamoorthy and Sekar (2016)

    AISI 202 stainless steel

    Multiple Genetic algorithm Applied voltage, tool feed rate, elec-trolyte discharge rate

    MRR, surface roughness

    11. Sohrabpoor et al. (2016)

    Cemented tungsten carbide

    Multiple Cuckoo optimization algorithm

    Electrolyte concentration, applied voltage, electrolyte flow rate, tool feed rate

    MRR, surface roughness, radial overcut

    12. Solaiyappan et al. (2014)

    Silicon carbide composite

    Multiple Hybrid fuzzy-artificial bee colony algorithm

    Applied voltage, electrolyte flow rate, current, inter-electrode gap, tool feed rate, electrolyte concentration

    MRR, surface roughness, overcut

    13. Tang and Yang (2013) Special stainless steel

    00Cr12Ni9Mo4Cu2

    Multiple Grey relational analy-sis

    Applied voltage, electrolyte pressure, electrolyte concentration, tool feed rate

    MRR, side gap, surface roughness

    14. Teimouri and Shor-abpoor (2013)

    Cemented tungsten carbide

    Multiple Adaptive neuro-fuzzy inference system,

    cuckoo optimization algorithm

    Electrolytic concentration, applied voltage, electrolyte flow rate, tool feed rate

    MRR, surface roughness

  •  47

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    ap v

    olta

    ge, p

    ulse

    pea

    k cu

    rren

    t, pe

    rcen

    t vol

    ume

    frac

    tion

    of S

    iC

    MR

    R, s

    urfa

    ce ro

    ughn

    ess

    12.

    Jaga

    dish

    and

    Ray

    (201

    5)

    AIS

    I D2

    tool

    stee

    l M

    ultip

    le

    Gre

    y re

    latio

    nal a

    naly

    sis

    Puls

    e du

    ratio

    n, p

    eak

    curr

    ent,

    diel

    ectri

    c le

    vel,

    flush

    ing

    pres

    sure

    Pr

    oces

    s tim

    e,

    proc

    ess

    en-

    ergy

    , too

    l wea

    r rat

    io, c

    once

    n-tra

    tion

    of a

    eros

    ol,

    diel

    ectri

    c co

    nsum

    ptio

    n

    13.

    Maj

    umda

    r (20

    12)

    Mild

    stee

    l Si

    ngle

    G

    enet

    ic a

    lgor

    ithm

    C

    urre

    nt, p

    ulse

    -on

    time,

    pul

    se-o

    ff ti

    me

    Elec

    trode

    wea

    r rat

    e 14

    . M

    ajum

    der (

    2013

    ) A

    ISI 3

    16 L

    N st

    ainl

    ess s

    teel

    M

    ultip

    le

    Fuzz

    y-ba

    sed

    parti

    cle

    swar

    m o

    pti-

    miz

    atio

    n Su

    pply

    cur

    rent

    , pul

    se-o

    n tim

    e, p

    ulse

    -off

    tim

    e M

    RR

    , ele

    ctro

    de w

    ear r

    ate

    15.

    Maj

    umde

    r et a

    l. (2

    014)

    A

    ISI 3

    16 L

    N st

    ainl

    ess s

    teel

    M

    ultip

    le

    Des

    irabi

    lity-

    base

    d pa

    rticl

    e sw

    arm

    i

    ii

    Supp

    ly c

    urre

    nt, p

    ulse

    -on

    time,

    pul

    se-o

    ff ti

    me

    MR

    R, e

    lect

    rode

    wea

    r rat

    e 16

    . M

    ajum

    dar

    (201

    5)

    Mild

    stee

    l M

    ultip

    le

    Gen

    etic

    alg

    orith

    m, s

    imul

    ated

    an-

    neal

    ing,

    par

    ticle

    swar

    m o

    ptim

    iza-

    tion,

    arti

    ficia

    l neu

    ral n

    etw

    ork

    Dis

    char

    ge c

    urre

    nt,

    puls

    e-on

    tim

    e,

    puls

    e-of

    f tim

    e M

    RR

    , to

    ol w

    ear r

    atio

  • S. C

    hakr

    abor

    ty e

    t al.

    / M

    anag

    emen

    t Sci

    ence

    Let

    ters

    9 (2

    019)

    47

    3

    Tab

    le 2

    Pa

    ram

    eter

    s, re

    spon

    ses,

    wor

    k m

    ater

    ials

    and

    opt

    imiz

    atio

    n te

    chni

    ques

    con

    side

    red

    in E

    DM

    pro

    cess

    es (C

    ontin

    ued)

    Sl

    .No.

    N

    ame

    of a

    utho

    r(s)

    W

    ork

    mat

    eria

    l m

    achi

    ned

    Sing

    le/

    Mul

    ti-ob

    ject

    ive

    Opt

    imiz

    atio

    n to

    ol(s

    ) ado

    pted

    Pr

    oces

    s par

    amet

    ers

    Res

    pons

    e(s)

    17.

    Min

    g et

    al.

    (201

    6)

    SiC

    /Al

    com

    posi

    te

    Mul

    tiple

    G

    enet

    ic a

    lgor

    ithm

    with

    de

    sira

    bilit

    y fu

    nctio

    n Pe

    ak c

    urre

    nt, p

    ulse

    -on

    time,

    pul

    se-o

    ff ti

    me,

    ap-

    plie

    d vo

    ltage

    M

    RR

    , sur

    face

    roug

    hnes

    s

    18.

    Mog

    hadd

    am a

    nd K

    olah

    an

    (201

    5)

    AIS

    I 231

    2 ho

    t wor

    ked

    stee

    l M

    ultip

    le

    Sim

    ulat

    ed a

    nnea

    ling

    Peak

    cur

    rent

    , pul

    se-o

    n tim

    e, p

    ulse

    -off

    tim

    e, a

    p-pl

    ied

    volta

    ge,

    duty

    fact

    or

    MR

    R, t

    ool w

    ear r

    ate,

    surf

    ace

    roug

    hnes

    s 19

    . M

    ohan

    ty e

    t al.

    (201

    6a)

    AIS

    I D2

    stee

    l M

    ultip

    le

    Non

    -dom

    inat

    ed so

    rting

    gen

    etic

    al-

    gorit

    hm

    Dis

    char

    ge c

    urre

    nt,

    puls

    e-on

    tim

    e, d

    uty

    fact

    or

    MR

    R, t

    ool

    wea

    r ra

    te, r

    esid

    -ua

    l stre

    ss

    20.

    Moh

    anty

    et a

    l. (2

    016b

    ) In

    cone

    l 718

    M

    ultip

    le

    Parti

    cle

    swar

    m o

    ptim

    izat

    ion

    Dis

    char

    ge c

    urre

    nt,

    open

    circ

    uit

    volta

    ge,

    duty

    fa

    ctor

    , pu

    lse-

    on t

    ime,

    flu

    shin

    g pr

    essu

    re,

    tool

    m

    ater

    ial

    MR

    R,

    surf

    ace

    roug

    hnes

    s, el

    ectro

    de w

    ear r

    ate,

    ove

    rcut

    21.

    Muk

    herje

    e an

    d C

    hakr

    abor

    ty

    (201

    2)

    Die

    stee

    l

    Bot

    h B

    ioge

    ogra

    phy-

    base

    d op

    timiz

    atio

    n al

    gorit

    hm

    Peak

    cur

    rent

    , av

    erag

    e ga

    p vo

    ltage

    , pu

    lse-

    on

    time,

    per

    cent

    vol

    ume

    frac

    tion

    of S

    iC p

    rese

    nt in

    al

    umin

    um m

    atrix

    Surf

    ace

    roug

    hnes

    s, w

    hite

    la

    yer t

    hick

    ness

    , sur

    face

    crac

    k de

    nsity

    , M

    RR

    , to

    ol

    wea

    r ra

    te, g

    ap si

    ze

    22.

    Padh

    ee e

    t al.

    (201

    2)

    EN31

    stee

    l M

    ultip

    le

    Non

    -dom

    inat

    ed so

    rting

    gen

    etic

    al-

    gorit

    hm

    Puls

    e-on

    tim

    e, p

    eak

    curr

    ent,

    duty

    fact

    or,

    con-

    cent

    ratio

    n of

    the

    abra

    sive

    M

    RR

    , sur

    face

    roug

    hnes

    s

    23.

    Pand

    a et

    al.

    (201

    5)

    Stai

    nles

    s ste

    el (S

    304)

    M

    ultip

    le

    Gre

    y re

    latio

    nal a

    naly

    sis,

    parti

    cle

    swar

    m o

    ptim

    izat

    ion

    Dis

    char

    ge cu

    rren

    t, di

    elec

    tric f

    low

    rate

    , pul

    se-o

    n tim

    e, p

    ulse

    -off

    tim

    e

    MR

    R, t

    ool w

    ear r

    ate,

    surf

    ace

    roug

    hnes

    s 24

    . Po

    rwal

    et a

    l. (2

    012)

    In

    var

    Mul

    tiple

    A

    rtific

    ial n

    eura

    l net

    wor

    k G

    ap v

    olta

    ge, c

    apac

    itanc

    e, sp

    indl

    e sp

    eed

    MR

    R, t

    ool w

    ear r

    ate,

    hol

    e ta

    -pe

    r 25

    . Pr

    adha

    n (2

    012)

    A

    ISI D

    2 st

    eel

    Mul

    tiple

    Pr

    inci

    pal c

    ompo

    nent

    ana

    lysi

    s, gr

    ey

    rela

    tiona

    l ana

    lysi

    s D

    isch

    arge

    cur

    rent

    , pul

    se-o

    n tim

    e, a

    pplie

    d vo

    lt-ag

    e, d

    uty

    cycl

    e

    MR

    R, s

    urfa

    ce ro

    ughn

    ess

    26.

    Priy

    adar

    shin

    i and

    Pal

    (201

    6)

    Tita

    nium

    allo

    y (T

    i-6A

    l-4V

    ) B

    oth

    Prin

    cipa

    l com

    pone

    nt a

    naly

    sis,

    grey

    re

    latio

    nal a

    naly

    sis

    Puls

    e du

    ratio

    n, d

    uty

    fact

    or, d

    isch

    arge

    cur

    rent

    , ga

    p vo

    ltage

    M

    RR

    , too

    l wea

    r rat

    e, su

    rfac

    e ro

    ughn

    ess

    27.

    Rad

    hika

    et a

    l. (2

    015)

    A

    lum

    iniu

    m a

    lloy

    (Al-S

    i10M

    g)

    Mul

    tiple

    G

    rey

    rela

    tiona

    l ana

    lysi

    s Pe

    ak c

    urre

    nt, f

    lush

    ing

    pres

    sure

    , pul

    se-o

    n tim

    e M

    RR

    , su

    rfac

    e ro

    ughn

    ess,

    tool

    wea

    r rat

    e 28

    . R

    aja

    et a

    l. (2

    015)

    D

    ie st

    eel

    Mul

    tiple

    Fi

    refly

    alg

    orith

    m

    Supp

    ly c

    urre

    nt, p

    ulse

    -on

    time

    Surf

    ace

    roug

    hnes

    s, m

    achi

    n-in

    g tim

    e 29

    . Sa

    hu a

    nd N

    ayak

    (201

    5)

    AIS

    I P20

    tool

    stee

    l M

    ultip

    le

    Gen

    etic

    alg

    orith

    m

    Puls

    e-on

    tim

    e, d

    isch

    arge

    cur

    rent

    M

    RR

    , ove

    rcut

    , too

    l wea

    r rat

    e 30

    . Si

    ngh

    (201

    2)

    Alu

    min

    ium

    met

    al m

    atrix

    com

    po-

    site

    s M

    ultip

    le

    Gre

    y re

    latio

    nal a

    naly

    sis

    Asp

    ect r

    atio

    , dut

    y cy

    cle,

    gap

    vol

    tage

    , pul

    se cu

    r-re

    nt, p

    ulse

    -on

    time,

    tool

    ele

    ctro

    de li

    ft tim

    e M

    RR

    , su

    rfac

    e ro

    ughn

    ess,

    tool

    wea

    r rat

    e 31

    . Ta

    ng a

    nd D

    u (2

    014)

    Sp

    ecia

    l sta

    inle

    ss st

    eel

    00C

    r12N

    i9M

    o4C

    u2

    Mul

    tiple

    G

    rey

    rela

    tiona

    l ana

    lysi

    s To

    ol f

    eed

    rat

    e, a

    pplie

    d vo

    ltage

    , el

    ectro

    lyte

    pr

    essu

    re, e

    lect

    roly

    te c

    once

    ntra

    tion

    MR

    R,

    side

    ga

    p,

    surf

    ace

    roug

    hnes

    s 32

    . Te

    imou

    ri an

    d B

    aser

    i (20

    12)

    EN 3

    2 m

    ild st

    eel

    Bot

    h A

    rtific

    ial b

    ee c

    olon

    y a

    lgor

    ithm

    Pu

    lse

    curr

    ent,

    gap

    volta

    ge, p

    ulse

    -on

    time,

    dut

    y fa

    ctor

    , air

    inta

    ke p

    ress

    ure,

    spin

    dle

    spee

    d M

    RR

    , sur

    face

    roug

    hnes

    s

    33.

    Teim

    ouri

    and

    Bas

    eri

    (201

    4)

    SPK

    (X21

    0Cr1

    2) c

    old

    wor

    k st

    eel

    Mul

    tiple

    A

    dapt

    ive

    neur

    o-fu

    zzy

    infe

    renc

    e sy

    stem

    , con

    tinuo

    us a

    nt c

    olon

    y op

    -tim

    izat

    ion

    algo

    rithm

    Mag

    netic

    fie

    ld

    inte

    nsity

    , ro

    tatio

    nal

    spee

    d,

    prod

    uct o

    f cur

    rent

    and

    pul

    se-o

    n tim

    e M

    RR

    , sur

    face

    roug

    hnes

    s

    34.

    Than

    gadu

    rai a

    nd A

    sha

    (201

    4)

    Alu

    min

    ium

    bor

    on c

    arbi

    de c

    om-

    posi

    te

    Mul

    tiple

    D

    esira

    bilit

    y fu

    nctio

    n, g

    enet

    ic a

    lgo-

    rithm

    Pu

    lse-

    on ti

    me,

    pul

    se-o

    ff ti

    me,

    cur

    rent

    M

    RR

    , su

    rfac

    e ro

    ughn

    ess,

    to

    ol w

    ear r

    ate

    35.

    Uyy

    ala

    and

    Kum

    ar (2

    014)

    R

    ENE

    80 n

    icke

    l sup

    er a

    lloy

    Bot

    h G

    rey

    rela

    tiona

    l ana

    lysi

    s Pe

    ak c

    urre

    nt, p

    ulse

    -on

    time,

    pul

    se-o

    ff ti

    me

    MR

    R, s

    urfa

    ce ro

    ughn

    ess,

    ra-

    dial

    ove

    rcut

    36

    . Y

    adav

    and

    Yad

    ava

    (201

    5)

    Tita

    nium

    allo

    y (T

    i-6A

    l-4V

    ) M

    ultip

    le

    Gre

    y re

    latio

    nal a

    naly

    sis,

    prin

    cipa

    l co

    mpo

    nent

    ana

    lysi

    s To

    ol e

    lect

    rode

    spe

    ed, p

    ulse

    -on

    time,

    dut

    y fa

    c-to

    r, ga

    p cu

    rren

    t M

    RR

    , su

    rfac

    e ro

    ughn

    ess,

    circ

    ular

    ity

  •  474

    (a)

    (b)

    (c) (d)

    Fig. 2 Analysis on the parametric optimization of EDM processes

    In Table 3, the parameters and responses considered, work materials machined and optimization tech-niques adopted for parametric optimization of WEDM processes are listed based on the reviewed re-search papers. Figure 3 presents the related detailed analyses. It can be noticed that for WEDM process, wire feed rate, pulse-off time and pulse-on time are the most frequently set process parameters, followed by wire tension, current, gap voltage, flushing pressure, pulse duration, servo feed and workpiece thick-ness. There are also some insignificant process parameters, like spark gap, capacitance, duty factor, pulse frequency, taper angle, power, dielectric flow rate, rotational speed, corner servo etc. as set by different researchers depending on their availability and settings in the WEDM set-ups. Among the responses, surface roughness is provided with the maximum priority, followed by MRR, cutting rate, overcut, wire wear rate (WWR), kerf width and angular error. Spark gap, machining time and white layer thickness are also the other responses which are less frequently considered by the researchers. In WEDM processes, different grades of steel and alloys (specially Inconel) are the most commonly machined work materials, followed by titanium and its alloys, MMCs, aluminum and its alloys, and tungsten carbide. For paramet-ric optimization of WEDM processes, different advanced optimization methods along with NSGA are the most popular approaches among the researchers, followed by GA, GRA, utility concept, desirability function, SA, NN and PCA. Out of 28 research papers surveyed, 17 of them dealt with multi-objective optimization, and the remaining papers considered both single and multi-objective optimization of WEDM responses. 1.4 LBM process

    In LBM process, a laser beam with high energy density is made to focus on the workpiece surface. The work volume is heated by the absorbed thermal energy and transformed into a molten, vaporized or modified into another chemical state, and is subsequently removed from the machining zone using a high pressure assist gas jet (Meijer, 2004). Thus, melting, vaporization and chemical degradation (chemical bonds are disintegrated causing the material to dissipate) are the three stages of the material removal mechanism in LBM process (Dubey & Yadava, 2008). Ruby (chromium alumina alloy), Nd-glass laser,

    048

    12162024283236

    048121620242832

    0

    4

    8

    12

    16

    20

    24

    Steels Alloys MMCs Ti and itsalloys

    Ceramics

    02468

    1012

  • S. Chakraborty et al. / Management Science Letters 9 (2019) 475

    Nd-YAG laser etc. are the examples of solid state laser, whereas, Helium-Neon, Argon, CO2 etc. are the gas lasers. The LBM process has several advantages, such as no built-up edge formation, low operating cost, no tool wear, rapid machining ability, capability of generating very tiny holes at difficult entrance angles etc. It is most suitably deployed for welding of non-conductive and refractory materials, and also for drilling, cutting, grooving, scribing, trimming and patterning operations. Its main process parameters include pulse shape, pulse frequency, wave length, duration, laser energy, assist gas type and pressure, focal length and position etc. A list of the reviewed research papers published during 2012-16 on para-metric optimization of LBM processes is provided in Table 4, and Fig. 4 exhibits the parameters and responses selected, work materials machined and optimization techniques deployed in those processes. Pulse frequency, assist gas pressure, cutting speed and pulse width are identified as the most significant process parameters, followed by laser power, lamp current and focus position. There are also some other insignificant parameters, e.g. Y feed rate, workpiece thickness, arc radius etc., which are less frequently chosen by the past researchers. Surface roughness, HAZ, hole taper and kerf taper are the maximally preferred responses for their optimization; although, other responses, like top kerf width, upper deviation, channel width, burr height, depth deviation, MRR, lower deviation are also given due importance. In these processes, some unimportant responses, like burr width, depth of separation line, drag line separa-tion and channel width are also noticed to exist. Among the work materials, aluminium and its different alloys are primarily machined using LBM process, followed by various ceramics (alumina and zirconia) and thermoplastic polymers. Other materials, like different grades of steel, Inconel 718, and titanium and its alloys are also machined using LBM process, but their occurrences are observed to be quite less as compared to other work materials. For parametric optimization of LBM processes, GRA is identified as the most effective method, followed by the application of different advanced optimization techniques. Other optimization methods, like GA, PCA, NSGA etc. are also occasionally adopted by the past re-searchers for the said purpose. Among 18 research papers reviewed, 16 papers considered multi-objective optimization, while one paper dealt with single objective optimization of the responses. There is only a single paper where both single and multi-objective optimization of the responses were considered.

    (a)

    (b)

    (c)

    (d)

    Fig. 3 Analysis on the parametric optimization of WEDM processes

    04812162024

    048

    1216202428

    0

    2

    4

    6

    8

    10

    12

    Steels Alloys Ti and itsalloys

    MMCs Al and itsalloys

    Tungstencarbide

    02468

    1012

  •  47

    6 Tab

    le 3

    Pa

    ram

    eter

    s, re

    spon

    ses,

    wor

    k m

    ater

    ials

    and

    opt

    imiz

    atio

    n te

    chni

    ques

    con

    side

    red

    in W

    EDM

    pro

    cess

    es

    Sl.N o.

    Nam

    e of

    aut

    hors

    W

    ork

    mat

    eria

    l ma-

    chin

    ed

    Sing

    le/

    Mul

    ti-

    obje

    ctiv

    e

    Opt

    imiz

    atio

    n to

    ol(s

    ) ad

    opte

    d Pr

    oces

    s par

    amet

    ers

    Res

    pons

    es

    1.

    Agg

    arw

    al e

    t al.

    (201

    5)

    Inco

    nel 7

    18

    Bot

    h D

    esira

    bilit

    y fu

    nctio

    n W

    ire f

    eed

    rate

    , pu

    lse-

    on t

    ime,

    pul

    se-o

    ff t

    ime,

    w

    ire te

    nsio

    n, g

    ap v

    olta

    ge

    Cut

    ting

    rate

    , su

    rfac

    e ro

    ughn

    ess

    2.

    Azh

    iri e

    t al.

    (201

    4)

    Alu

    min

    ium

    silic

    on c

    ar-

    bide

    com

    posi

    te

    Mul

    tiple

    A

    dapt

    ive

    neur

    o-fu

    zzy

    infe

    r-en

    ce s

    yste

    m, g

    rey

    rela

    tiona

    l an

    alys

    is

    Puls

    e-on

    tim

    e, p

    ulse

    -off

    tim

    e, g

    ap v

    olta

    ge, d

    is-

    char

    ge c

    urre

    nt, w

    ire fe

    ed, w

    ire te

    nsio

    n C

    uttin

    g ve

    loci

    ty, s

    urfa

    ce

    roug

    hnes

    s

    3.

    Boo

    path

    i and

    Siv

    akum

    ar

    (201

    3)

    Hig

    h sp

    eed

    stee

    l M

    ultip

    le

    Epsi

    lon

    dom

    inan

    ce

    ap-

    proa

    ch o

    f gen

    etic

    alg

    orith

    m

    Dis

    char

    ge cu

    rren

    t, pu

    lse-

    on ti

    me,

    pul

    se-o

    ff ti

    me,

    ga

    p vo

    ltage

    , air-

    mis

    t pre

    ssur

    e M

    RR

    , sur

    face

    roug

    hnes

    s

    4.

    Bho

    opat

    hi a

    nd S

    ivak

    umar

    (2

    016)

    H

    SS-M

    42 to

    ol st

    eel

    Mul

    tiple

    A

    rtific

    ial

    bee

    colo

    ny a

    lgo-

    rithm

    Sp

    ark

    curr

    ent,

    oxyg

    en-m

    ist i

    nlet

    pre

    ssur

    e, m

    ix-

    ing

    flow

    rate

    , pul

    se-o

    n tim

    e

    MR

    R, s

    urfa

    ce ro

    ughn

    ess

    5.

    Cha

    lisga

    onka

    r and

    Kum

    ar

    (201

    3)

    Tita

    nium

    B

    oth

    Util

    ity c

    once

    pt

    Wire

    feed

    , wire

    tens

    ion,

    pul

    se-o

    n tim

    e, p

    ulse

    -off

    tim

    e, g

    ap v

    olta

    ge, p

    eak

    curr

    ent

    Cut

    ting

    spee

    d,

    surf

    ace

    roug

    hnes

    s 6.

    G

    arg

    et a

    l. (2

    012)

    Ti

    tani

    um 6

    -2-4

    -2

    Mul

    tiple

    N

    on-d

    omin

    ated

    sor

    ting

    ge-

    netic

    alg

    orith

    m

    Puls

    e-on

    tim

    e, p

    ulse

    -off

    tim

    e, g

    ap v

    olta

    ge, w

    ire

    feed

    , wire

    tens

    ion,

    pea

    k cu

    rren

    t C

    uttin

    g sp

    eed,

    su

    rfac

    e ro

    ughn

    ess

    7.

    Jaya

    dith

    ya e

    t al.

    (201

    4)

    Inco

    nel 8

    25

    Mul

    tiple

    U

    tility

    con

    cept

    W

    ire f

    eed,

    wor

    kpie

    ce th

    ickn

    ess,

    puls

    e-on

    tim

    e,

    puls

    e-of

    f tim

    e

    Cut

    ting

    spee

    d,

    surf

    ace

    roug

    hnes

    s, di

    men

    sion

    al

    devi

    atio

    n 8.

    K

    ovač

    ević

    et a

    l. (2

    014)

    N

    itrid

    ed st

    eel,

    AIS

    I D

    5/D

    IN 1

    .260

    1 st

    eel,

    alum

    iniu

    m, t

    itani

    um a

    l-lo

    y

    Mul

    tiple

    Ex

    haus

    tive

    itera

    tive

    sear

    ch

    proc

    edur

    e Pu

    lse-

    on ti

    me,

    pul

    se-o

    ff ti

    me,

    ser

    vo f

    eed,

    pea

    k cu

    rren

    t M

    RR

    , cut

    ting

    spee

    d, su

    r-fa

    ce ro

    ughn

    ess,

    over

    cut

    9.

    Kris

    han

    and

    Sam

    uel (

    2013

    ) A

    ISI D

    3 to

    ol st

    eel

    Mul

    tiple

    N

    on-d

    omin

    ated

    sor

    ting

    ge-

    netic

    alg

    orith

    m

    Puls

    e-of

    f tim

    e, s

    park

    gap

    , ser

    vo fe

    ed, r

    otat

    iona

    l sp

    eed,

    flus

    hing

    pre

    ssur

    e M

    RR

    , sur

    face

    roug

    hnes

    s

    10.

    Kum

    ar a

    nd A

    garw

    al (2

    012)

    H

    igh

    spee

    d st

    eel

    Bot

    h N

    on-d

    omin

    ated

    sor

    ting

    ge-

    netic

    alg

    orith

    m

    Puls

    e pe

    ak c

    urre

    nt,

    wire

    ten

    sion,

    wire

    fee

    d,

    flush

    ing

    pres

    sure

    , pul

    se d

    urat

    ion,

    pul

    se-o

    ff ti

    me

    MR

    R, s

    urfa

    ce ro

    ughn

    ess

    11.

    Kur

    iach

    en e

    t al.

    (201

    5)

    Tita

    nium

    allo

    y

    (Ti-6

    Al-4

    V)

    Mul

    tiple

    Pa

    rticl

    e sw

    arm

    opt

    imiz

    atio

    n G

    ap v

    olta

    ge, c

    apac

    itanc

    e, fe

    ed ra

    te, w

    ire te

    nsio

    n M

    RR

    , sur

    face

    roug

    hnes

    s

    12.

    Min

    g et

    al.

    (201

    4)

    Tung

    sten

    stee

    l (Y

    G15

    ) M

    ultip

    le

    Non

    -dom

    inat

    ed s

    ortin

    g ge

    -ne

    tic a

    lgor

    ithm

    W

    ire te

    nsio

    n, p

    ulse

    -on

    time,

    pul

    se-o

    ff ti

    me,

    wire

    sp

    eed,

    wat

    er p

    ress

    ure,

    cut

    ting

    feed

    rate

    M

    RR

    , sur

    face

    roug

    hnes

    s

    13.

    Muk

    herje

    e et

    al.

    (201

    2)

    Inco

    nel 6

    01

    Bot

    h G

    enet

    ic a

    lgor

    ithm

    , pa

    rticl

    e sw

    arm

    opt

    imiz

    atio

    n, s

    heep

    flo

    ck a

    lgor

    ithm

    , an

    t co

    lony

    op

    timiz

    atio

    n,

    artif

    icia

    l be

    e co

    lony

    , bio

    geog

    raph

    y-ba

    sed

    optim

    izat

    ion

    Peak

    cur

    rent

    , pu

    lse

    dura

    tion,

    pul

    se f

    requ

    ency

    , w

    ire sp

    eed,

    die

    lect

    ric fl

    ow ra

    te, d

    uty

    fact

    or, w

    ire

    tens

    ion,

    wat

    er p

    ress

    ure,

    MR

    R, w

    ear r

    atio

    , sur

    face

    ro

    ughn

    ess,

    kerf

    wid

    th

    14.

    Nay

    ak a

    nd M

    ahap

    atra

    (201

    4)

    Stai

    nles

    s ste

    el

    Mul

    tiple

    U

    tility

    con

    cept

    D

    isch

    arge

    cur

    rent

    , pa

    rt th

    ickn

    ess,

    wire

    spe

    ed,

    wire

    tens

    ion,

    tape

    r ang

    le, p

    ulse

    dur

    atio

    n

    Ang

    ular

    er

    ror,

    surf

    ace

    roug

    hnes

    s, cu

    tting

    spee

    d

  • S. C

    hakr

    abor

    ty e

    t al.

    / M

    anag

    emen

    t Sci

    ence

    Let

    ters

    9 (2

    019)

    47

    7

    Tab

    le 3

    Pa

    ram

    eter

    s, re

    spon

    ses,

    wor

    k m

    ater

    ials

    and

    opt

    imiz

    atio

    n te

    chni

    ques

    con

    side

    red

    in W

    EDM

    pro

    cess

    es (C

    ontin

    ued)

    Sl

    .N o.

    Nam

    e of

    aut

    hors

    W

    ork

    mat

    eria

    l ma-

    chin

    ed

    Sing

    le/

    Mul

    ti-ob

    -je

    ctiv

    e

    Opt

    imiz

    atio

    n to

    ol(s

    ) ad

    opte

    d Pr

    oces

    s par

    amet

    ers

    Res

    pons

    es

    15.

    Nay

    ak a

    nd M

    ahap

    atra

    (201

    6)

    In

    cone

    l 718

    B

    oth

    Bat

    alg

    orith

    m

    Part

    thic

    knes

    s, di

    scha

    rge

    curr

    ent,

    wire

    spe

    ed,

    wire

    tens

    ion,

    tape

    r ang

    le, p

    ulse

    dur

    atio

    n

    Ang

    ular

    er

    ror,

    surf

    ace

    roug

    hnes

    s, cu

    tting

    spee

    d

    16.

    Pras

    ad a

    nd K

    rishn

    a (2

    015)

    A

    ISI D

    3 di

    e st

    eel

    Mul

    tiple

    H

    arm

    ony

    sear

    ch a

    lgor

    ithm

    Puls

    e-on

    tim

    e, p

    ulse

    -off

    tim

    e, d

    iele

    ctric

    flo

    w

    rate

    , wire

    feed

    , wire

    tens

    ion

    K

    erf,

    wire

    wea

    r rat

    io

    17.

    Raj

    yala

    kshm

    i and

    Ram

    aiah

    (2

    013)

    In

    cone

    l 825

    B

    oth

    Gre

    y re

    latio

    nal a

    naly

    sis

    Puls

    e-on

    tim

    e, p

    ulse

    -off

    tim

    e, c

    orne

    r ser

    vo, w

    ire

    tens

    ion,

    gap

    vol

    tage

    , ser

    vo f

    eed,

    flu

    shin

    g pr

    es-

    sure

    of d

    iele

    ctric

    flui

    d, w

    ire fe

    ed ra

    te

    MR

    R,

    surf

    ace

    roug

    h-ne

    ss, s

    park

    gap

    18.

    Rao

    et a

    l. (2

    014)

    A

    l707

    5/Si

    Cp

    met

    al m

    a-tri

    x co

    mpo

    site

    s B

    oth

    Hyb

    rid g

    enet

    ic a

    lgor

    ithm

    Pu

    lse-

    on t

    ime,

    pul

    se-o

    ff t

    ime,

    pea

    k cu

    rren

    t, sp

    ark

    gap

    volta

    ge, s

    ervo

    feed

    rate

    , flu

    shin

    g pr

    es-

    sure

    , wire

    feed

    rate

    , wire

    tens

    ion

    MR

    R,

    surf

    ace

    roug

    h-ne

    ss, w

    ire w

    ear r

    ate

    19.

    Rao

    and

    Kris

    hna

    (201

    4)

    Al7

    075/

    SiC

    p m

    etal

    ma-

    trix

    com

    posi

    tes

    Mul

    tiple

    N

    on-d

    omin

    ated

    sor

    ting

    ge-

    netic

    Alg

    orith

    m

    Parti

    cula

    te s

    ize,

    vol

    ume

    of S

    iCp,

    pul

    se-o

    n tim

    e,

    puls

    e-of

    f tim

    e, w

    ire te

    nsio

    n M

    RR

    , su

    rfac

    e ro

    ugh-

    ness

    , wire

    wea

    r rat

    io

    20.

    Saha

    and

    Mon

    dal (

    2016

    ) N

    ano

    stru

    ctur

    ed h

    ard

    faci

    ng m

    ater

    ial

    Mul

    tiple

    G

    rey

    rela

    tiona

    l an

    alys

    is,

    prin

    cipa

    l co

    mpo

    nent

    ana

    ly-

    sis

    Serv

    o vo

    ltage

    , w

    ire t

    ensi

    on,

    wire

    fee

    d ra

    te,

    puls

    e-on

    tim

    e, p

    ulse

    -off

    tim

    e

    MR

    R,

    surf

    ace

    roug

    h-ne

    ss, m

    achi

    ning

    tim

    e

    21.

    Saha

    et a

    l. (2

    013)

    Ti

    tani

    um c

    arbi

    de

    Bot

    h N

    euro

    -gen

    etic

    tech

    niqu

    e Pu

    lse o

    n-tim

    e, p

    ulse

    off

    -tim

    e, w

    ire fe

    ed ra

    te, g

    ap

    volta

    ge

    Cut

    ting

    spee

    d,

    kerf

    w

    idth

    22

    . Sh

    ahal

    i et a

    l. (2

    012)

    D

    IN 1

    .454

    2 st

    ainl

    ess

    stee

    l B

    oth

    Mic

    ro-g

    enet

    ic a

    lgor

    ithm

    Po

    wer

    , tim

    e-of

    f tim

    e, g

    ap v

    olta

    ge, s

    ervo

    vol

    tage

    , in

    vers

    , num

    ber o

    f fin

    ish

    pass

    es

    Surf

    ace

    roug

    hnes

    s, w

    hite

    laye

    r thi

    ckne

    ss

    23.

    Shay

    an e

    t al.

    (201

    3)

    Cem

    ente

    d tu

    ngst

    en c

    ar-

    bide

    B

    oth

    Des

    irabi

    lity

    appr

    oach

    , par

    ti-cl

    e sw

    arm

    opt

    imiz

    atio

    n Pu

    lse-

    on ti

    me,

    pul

    se-o

    ff ti

    me,

    dis

    char

    ge c

    urre

    nt,

    wire

    te

    nsio

    n,

    gap

    volta

    ge

    Cut

    ting

    velo

    city

    , sur

    face

    ro

    ughn

    ess,

    over

    size

    24.

    Som

    ashe

    kar e

    t al.

    (201

    2)

    Alu

    min

    ium

    M

    ultip

    le

    Sim

    ulat

    ed a

    nnea

    ling

    Gap

    vol

    tage

    , cap

    acita

    nce,

    feed

    rate

    M

    RR

    , su

    rfac

    e ro

    ugh-

    ness

    , ove

    rcut

    25

    . Su

    brah

    man

    yam

    and

    Sar

    car

    (201

    3)

    Die

    stee

    l M

    ultip

    le

    Gre

    y re

    latio

    nal a

    naly

    sis

    Puls

    e-on

    tim

    e, p

    ulse

    -off

    tim

    e, p

    eak

    curr

    ent,

    gap

    volta

    ge, w

    ire te

    nsio

    n, w

    ire fe

    ed ra

    te, s

    ervo

    feed

    , flu

    shin

    g pr

    essu

    re

    MR

    R, s

    urfa

    ce ro

    ughn

    ess

    26.

    Var

    un e

    t al.

    (201

    6)

    M

    onel

    400

    B

    oth

    Des

    irabi

    lity

    func

    tion,

    par

    ti-cl

    e sw

    arm

    opt

    imiz

    atio

    n Pu

    lse-

    on ti

    me,

    pul

    se-o

    ff ti

    me,

    pea

    k cu

    rren

    t, w

    ire

    feed

    M

    RR

    , sur

    face

    roug

    hnes

    s

    27.

    Yan

    g et

    al.

    (201

    2)

    Tung

    sten

    M

    ultip

    le

    Sim

    ulat

    ed a

    nnea

    ling

    Pu

    lse-

    on ti

    me,

    pul

    se-o

    ff ti

    me,

    arc

    -off

    tim

    e, w

    ire

    tens

    ion,

    wat

    er p

    ress

    ure,

    serv

    o vo

    ltage

    , wire

    feed

    ra

    te

    MR

    R,

    surf

    ace

    roug

    h-ne

    ss, c

    orne

    r dev

    iatio

    n

    28.

    Zhan

    g et

    al.

    (201

    4)

    Hig

    h ca

    rbon

    , hig

    h

    chro

    miu

    m a

    lloy

    tool

    st

    eel

    Mul

    tiple

    N

    on-d

    omin

    ated

    sor

    ting

    ge-

    netic

    alg

    orith

    m

    Puls

    e-on

    tim

    e, p

    ulse

    -off

    tim

    e, p

    ulse

    curr

    ent,

    wire

    tra

    velli

    ng sp

    eed,

    trac

    king

    coe

    ffic

    ient

    M

    RR

    , sur

    face

    roug

    hnes

    s

  •  478

    1.5. USM process

    In USM process, a tool having the appropriate shape geometry oscillates over the workpiece at an ultra-sonic frequency of 19~25 kHz and amplitude of 15-50 μm. Between the tool and the workpiece, the machining zone is deluged with abrasive particles (Al2O3, SiC, B4C, diamond etc.) mixed with water to form of a water-based slurry. When the tool oscillates over the workpiece, the abrasive particles make indentations to remove material from the workpiece. Crack initiation, propagation and brittle fracture are the three phases causing removal of material in USM process. It can be effectively employed for gener-ating square, round, irregular shaped holes and surface impressions on hard and brittle materials, like glass, ceramics, stones, carbides, silicon nitride, nickel/titanium alloys etc. (Thoe et al., 1998). Amplitude and frequency of vibration, feed force and pressure, abrasive size and material, contact area of the tool, volume concentration of abrasive in slurry etc. are the different parameters influencing the machining performance of USM process.

    (a)

    (b)

    (c)

    (d)

    Fig. 4 Analysis on the parametric optimization of LBM processes

    Table 5 presents a list of the reviewed research papers published during 2012-16 on parametric optimi-zation of USM processes, and Fig. 5 provides an idea on the process parameters and responses, work materials and optimization techniques selected in those considered processes. It can be easily revealed that grit size and power rating are the two important control parameters mostly preferred by the past researchers, followed by the type of tool material, slurry concentration and tool feed rate. Tool profile, and type and thickness of the work material are some of the least preferred machining parameters for USM process. In this process, maximum importance is allocated to the optimization of surface roughness and MRR, followed by tool wear rate (TWR) and overcut. Titanium is identified as the most widely machined work material in USM process. It is also employed for machining of different ceramics (mainly zirconia) and MMCs. Among the optimization tools, GRA, utility concept and different advanced opti-mization techniques are mainly utilized for parametric optimization of USM processes. Other tools, such as GA, NN and Taguchi loss function are also applied for the same purpose. There are applications of weighted signal-to-noise ratio and multi-response signal-to-noise ratio for simultaneous optimization of USM responses. From Table 5, it can be noticed that four research papers dealt with multi-objective optimization, while three papers considered both single as well as multi-objective optimization of the responses for USM process.

    02468

    10121416

    012345678

    0

    1

    2

    3

    4

    5

    6

    Al and itsalloys

    CeramicsPolymers Steels Inconel718

    Ti and itsalloys

    0

    2

    4

    6

    8

    10

    GRA Adv. opt.methods

    GA PCA Fuzzylogic

    NSGA

  • S. C

    hakr

    abor

    ty e

    t al.

    / M

    anag

    emen

    t Sci

    ence

    Let

    ters

    9 (2

    019)

    47

    9

    Tabl

    e 4

    Pa

    ram

    eter

    s, re

    spon

    ses,

    wor

    k m

    ater

    ials

    and

    opt

    imiz

    atio

    n te

    chni

    ques

    con

    side

    red

    in L

    BM

    pro

    cess

    es

    Sl.

    No.

    N

    ame

    of a

    utho

    rs

    Wor

    k m

    ater

    ial m

    a-ch

    ined

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  •  480

    (a)

    (b)

    (c) (d)

    Fig. 5 Analysis on the parametric optimization of USM processes

    1.6 HM processes

    Technological improvement of NTM processes can be efficiently attained when different machining ac-tions or phases are combined together for material removal. This combination of individual processes leads to the subsequent development of a HM process where the combined advantages of the constituent processes can be achieved while avoiding or reducing some of their adverse effects when they are applied individually (El-Hofy, 2005). The performance characteristics of a HM process are expected to be better than those of the single-phase processes with respect to productivity, accuracy and surface quality (Sundaram, 2014). In AJWM process, the mechanical energy of water and abrasive particles is utilized to remove material from the workpiece. In this process, abrasive particles, like sand (SiO2), glass beads etc. are mixed with the water jet to enhance its machining capability by many folds (Janković et al., 2012). The ECDM is also a hybrid NTM process combining the features of ECM and EDM processes. It consists of a tool (cathode), an auxiliary electrode (anode) and a workpiece, which are isolated by a gap filled with electrolyte, and a pulsed DC is applied between them. This causes generation of electrical discharges between the tool and electrolyte where the workpiece is placed, thus attaining both electro-chemical dissolution and electro discharge erosion of the workpiece (Mediliyegedara et al., 2005). The TW-ECSM process combines the material removal mechanisms of ECM and WEDM processes (Malik and Manna, 2017). It can be efficaciously employed for machining of hard-to-machine non-conductive materials that cannot be machined by the other NTM processes, like EDM, ECM, WEDM etc. Electrical discharge diamond grinding (EDDG) is a hybridized NTM process, consisting of EDM with rotary disc electrode and grinding using diamond abrasives (Yadav et al., 2012). During EDDG, the electrically non-conducting reinforcements that hinder the generation of sparks can be removed by the abrasion action of diamond abrasives. On the other hand, the wheel loading and clogging problems can be avoided due to electrical sparks, and dressing of diamond wheel can also take place.  In magnetic abrasive finishing (MAF) process, the workpiece is kept between the two poles of a magnet, and the machining gap between the workpiece and the magnet is flooded with magnetic abrasive particles. A magnetic abrasive flexible brush is thus formed, which acts as a multipoint cutting tool, due to the effect of magnetic field in the

    01234567

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    1

    2

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    Titanium Ceramics MMCs

    0

    1

    2

    3

    Others GRA Adv.opt.

    methods

    Utilityconcept

    GA Lossfunction

    NN

  • S. Chakraborty et al. / Management Science Letters 9 (2019) 481

    machining gap (Kumar et al., 2013). The ECG combines electrochemical dissolution and mechanical grinding processes (Goswami et al., 2009). The workpiece is connected to the positive electrode and an electrically conductive grinding wheel is made as the negative electrode. As the electric current flows between the workpiece and wheel through the electrolyte, electrochemical dissolution takes places caus-ing material to be removed from the workpiece. Mechanical abrasion is also responsible for material removal to some extent.

    Table 5 Parameters, responses, work materials and optimization techniques considered in USM processes

    Sl.No. Name of author(s)

    Work material

    machined

    Single/ Multi-

    objective

    Optimization tool(s) adopted

    Process parameters Responses

    1. Chakravorty et al. (2013)

    Cobalt, tungsten carbide

    Multiple

    Weighted signal-to-noise ratio, utility theory, grey relational analysis, multi-response signal-to-noise ratio

    Tool material, abrasive slurry material, slurry concentration, grit size of slurry material, power rating

    MRR, tool wear rate, surface roughness

    2. Cheema et al. (2013)

    Titanium (ASTM Gr 2),

    Titanium (ASTM Gr 5)

    Both Utility concept Workpiece material, abrasive grit size, abrasive slurry concen-tration, power rating, tool mate-rial

    Surface roughness, tool wear ratio, hole oversize

    3. Das et al. (2013)

    Zirconia Multiple Genetic algorithm Abrasive grit size, abrasive slurry concentration, power rating, tool feed rate

    MRR, surface roughness

    4. Goswami and Chakraborty

    (2015)

    Zirconia Both Gravitational search algo-rithm, fireworks algorithm

    Grit size, slurry concentration, power rating, tool feed rate

    MRR, surface roughness

    5. Kataria et al. (2016)

    WC-Co composite

    Multiple Grey relational analysis Cobalt content, workpiece thickness, tool profile, grit size, power rating

    MRR, tool wear rate

    6. Kumar (2014) Titanium (ASTM Gr 1)

    Both Taguchi loss function Tool material, abrasive type, grit size, power rating

    Surface roughness, micro-hardness

    7.

    Teimouri et al. (2015)

    Titanium (ASTM Gr 1)

    Multiple Adaptive neuro-fuzzy in-ference system, imperialist competitive algorithm

    Tool material, grit size, power rating

    MRR, tool wear rate, surface roughness

    In Table 6, a list of research papers published during 2012-16 on parametric optimization of HM pro-cesses (i.e. AJWM, ECDM, TW-ECSM, EDDG, MAF and ECG) is provided. The responses set in these six HM processes, work materials machined and optimization techniques employed for deriving the best parametric mix are shown in Fig. 6. As the control parameters in the considered HM processes are widely varying and entirely depend on the type of the machining set-up employed, it is not at all a wise decision to make an exhaustive list of those parameters. It can be perceived from Fig. 6 that among the responses, MRR and surface roughness are allotted with the maximum importance, followed by kerf width, HAZ, overcut, TWR, current density and depth of cut. In these processes, glass, MMCs, different grades of steel, and aluminium and its alloys are mostly machined for generation of different shape features for industrial use, followed by ceramics, brass, Inconel, tungsten carbide and silicon. With respect to the techniques adopted for parametric optimization of HM processes, GRA and advanced optimization meth-ods become quite popular among the researchers. Other techniques, like NSGA. GA, NN, loss function, PCA, utility concept and desirability function are also applied for the same purpose. Among 30 papers surveyed on HM processes, 18 of them considered multi-objective optimization, while only four dealt with both single as well as multi-objective optimization of the responses. There are also eight research papers where the authors optimized only a single response.

    2. Discussions When all the reviewed papers are classified based on their year of publication, as depicted in Fig. 7, it can be clearly revealed that the earlier researchers maximally considered EDM process for its parametric optimization, followed by HM and WEDM processes. It is also quite interesting to notice that in this direction, maximum research works were mainly carried out in 2012 and 2014 for almost all the consid-ered NTM processes. When all the responses, as considered by the past researchers for deriving their

  •  482

    optimal values, are analyzed in Fig. 8, it can be observed that surface roughness has the top priority, followed by MRR. Other responses, like TWR, overcut, cutting rate, HAZ, taper, kerf width etc. have also moderate importance. There are several less significant responses, like cylindricity, white layer thickness, surface crack density, channel depth, burr height, depth deviation, lower deviation, current density etc. which are occasionally considered by the past researchers in order to satisfy varying end product requirements. It is a well known fact that NTM processes are mainly employed for generation of complex shape geometries on varying hard-to-machine materials which cannot be machined by the con-ventional material removal methods. From the reviewed papers, it can be clearly visualized that these processes were mainly utilized for machining of different grades of steel, followed by MMCs and various metal alloys to meet their high demands for diverse industrial applications. A list of different work ma-terials machined by the considered NTM processes is graphically presented in Fig. 9. The application of various tools and techniques for parametric optimization of the considered NTM processes is exhibited in Fig. 10. It is quite interesting to observe that among all these applied methods, GRA supersedes the others due to its mathematical simplicity, comprehensiveness and capability for performing multi-objec-tive optimization of the responses quite easily. But when GA, NSGA and SA are coupled together with the other advanced optimization methods, they become the most popular techniques due to their ability to solve both single and multi-objective optimization problems. These techniques are also capable of finding out the global optimal solutions for parametric optimization problems. Among the employed advanced optimization methods, particle swarm optimization algorithm is mostly preferred by the re-searchers, followed by artificial bee colony optimization and cuckoo optimization techniques, as shown in Fig. 11. Biogeography-based optimization, teaching learning-based optimization, ant colony optimi-zation, firefly algorithm, bat algorithm, sheep flock algorithm, harmony search algorithm, gravitational search algorithm and fireworks algorithm are the other techniques applied for parametric optimization of the considered NTM processes according to their preference. It is observed that amongst 133 research papers surveyed, in only 10 papers (7.52%), a single response was optimized; in 96 papers (72.18%), multiple responses were optimized simultaneously; and 27 papers (20.30%) dealt with both single as well as multi-objective optimization of the responses.

    (a)

    (b)

    (c)

    Fig. 6 Analysis on the parametric optimization of HM processes

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