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    Chapter 2: Line BalancingChapter 2: Line Balancing

    IE 5511 Human Factors

    Professor Hayes

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    Line BalancingLine Balancing

    Line: an assembly line composed of several

    work stations, at which specific operations

    are performed.To work effectively, with no work pile-ups

    between stations, the line must be balanced,

    e.g. work must get through eachworkstation in roughly the same amount of

    time.

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    Line BalancingLine Balancing

    Goals: To meet production goals,

    Maximize output.

    Common Approaches to Line Balancing:

    1. Estimating the number of operators for a givennumber of stations,

    2. Work element sharing: grouping activities perwork elements into stations or jobs performed

    by a single person (some times multiple peoplework in concert at a single station or machine)

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    Estimating theEstimating the

    number of operatorsnumber of operatorsIn a perfectly balanced line, alloperations

    at allstation would take identicaltime.

    Efficiency would be 100 %

    However, this rarely happens!!

    100 % efficiency is rarely achievable,

    A more reasonable goal is 95 % efficiency.

    (However, even that may not be achievable

    depending on the nature of the operations).

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    Estimating the number ofEstimating the number of

    OperatorsOperatorsTo achieve a given rate of production, R,

    N operators are needed (total).

    (1) N = R x AM = R x SM

    EDesired

    Rate of Production

    Number of

    Operators

    Needed

    Allowed Minutes: total time

    between pieces (e.g. AM =

    time of slowest operation)

    Efficiency

    (expressed as fraction)

    Standard Minutes:

    Time it actually takes

    to complete an operation

    on average

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    Procedure for DeterminingProcedure for Determining

    the Number of Operatorsthe Number of Operators

    needed to meet production goals.needed to meet production goals.

    Assumptions. You have already determined:

    the numberof workstations, theirsequence

    the operations that will be performed at each one.

    Goals. To:

    Meetproduction goals given to you by your management,

    Balance the workloadbetween stations by putting more

    workers at the slower stations,

    Reduce idle time

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    Procedure: Estimating the Number of OperatorsProcedure: Estimating the Number of Operators

    Givens: Production goal, operation sequence.

    Step 0: (Prior to the analysis) Perform time studies for eachoperation using experienced operators in order to obtainstandard times (SM).

    Step 1: Convert theproduction rate, R, into the sametime units as your standard times.

    Step 2: (optional) Estimate the total number ofoperators for the line using Equation (1) (see previousslides)

    Step 3: Estimate the number of operators needed foreach operation,

    Step 4: Identify theslowestoperation given the numberof operators computed in previous step,

    Step 5: Test: have you met the production goal?Step 6: Adjust. Add more operators, negotiate to

    reduce the production goal, or try additional methods.

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    Example: Estimating the Number of OperatorsExample: Estimating the Number of Operators

    Givens: Production goal: 700 units/day where 1 day =

    8 hours.

    Operation sequence: Op1, Op2, Op3, Op4,

    Op5, Op6, Op7, Op8.

    Step 0: (Prior to the analysis) Perform time

    studies for each operation using

    experienced operators in order to obtainstandard times in minutes (SM).

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    Example:Example:

    Estimating the Number of OperatorsEstimating the Number of OperatorsStep 1: Convert theproduction rate, R, into the

    same time units as your standard times.

    The standard times, SM, have been expressed inminutes, while R is in days, so:

    R = 700 units/day = 1.458 units/min

    480 min/day

    Also compute the desired cycle time (rate at whichunits exitline)

    cycle time = 1 = 0.685 min/unit

    R

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    Example:Example:

    Estimating the Number of OperatorsEstimating the Number of Operators

    Step 2:(optional) Estimate the total number

    of operators, N, required to meet production

    goal, using Equation (1) :

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    Example:Example:

    Estimating the Number of OperatorsEstimating the Number of OperatorsStep 3: Estimate the number of operators

    needed foreach operation,

    Step 4: Identify theslowestoperation given

    the number of operators computed in

    previous step,

    Step 5: Test: have you met the productiongoal?

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    Number of operators neededNumber of operators needed

    for each operationfor each operation

    to achieve production goalsto achieve production goals

    Cycle time = 1/R

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    Calculate reduced cycle times atCalculate reduced cycle times at

    each station when using multipleeach station when using multiple

    operatorsoperators

    SM / Number of Operators

    New cycle time at

    station when using

    multiple operators

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    Calculate reduced cycle times atCalculate reduced cycle times at

    each station when using multipleeach station when using multiple

    operatorsoperators

    SM / Number of Operators

    New cycle time at

    station when using

    multiple operators

    Your production line will only be as fast as your slowest worker.Does this line meet the desired cycle time (0.685)?

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    Work Element SharingWork Element Sharing

    A line can sometimes be balanced with less

    costby rearranging the sub-work elements

    (e.g. activities composing a work element)For example, by giving activities from the

    busiestelement to elements with idle time.

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    Properties of Work ElementsProperties of Work Elements

    What is a work element?How big should a work element be?

    Assemble items in

    box

    Load Styrofoam

    block

    Load book

    Grasp

    block

    Move block

    to box

    Orient

    Block

    Release

    Block

    Work Element

    Sub-work elements

    Sub-sub work elements

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    Work Element PropertiesWork Element Properties

    Work elements can be represented atvarious levels of abstraction or detail

    Work elements can almost always be sub-divided into smaller elements.

    The appropriate representation depends onthe task and situation.

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    Work Element Sharing:Work Element Sharing:

    GEs Line BalancingGEs Line Balancing

    A Procedure for AssigningA Procedure for AssigningWork Elements to StationsWork Elements to Stations

    Given:

    Precedence graph Production goal (e.g. 300 units per shift)

    Shift duration (e.g. 450 minutes)

    Number of workstations (e.g. 6 workstations)

    Decided how to assign elements to workstations so

    as to meet production goals withoutviolating

    precedence constraints!

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    A Precedence Graph forA Precedence Graph for

    Assembly OperationsAssembly Operations

    The graph should only contain necessary orderings.

    Any unnecessary constraints make it harder to achieve

    efficiency.

    P d l ti 1 i b f

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    Precedence relations: 1 = y is before x

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    Compute positional weighs,Compute positional weighs,

    Record immediate predecessors,Record immediate predecessors,

    Sort from biggest positional weightSort from biggest positional weight

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    The Final Assembly LineThe Final Assembly Line

    A streamlined version:A streamlined version:

    (00) (02)

    (01) (03)

    (05) (06)

    (04)

    (08) (07) (09) (10)

    Station 1

    Station 2

    Station 3

    Station 4 Station 5Station 6

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    A stream-lined version of theA stream-lined version of the

    Assembly lineAssembly line

    (00) (02)

    (01) (03)

    (05) (06)

    (04)

    (08) (07) (09) (10)