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Transparency Masters to accompany Heizer/Render –Principles of Operations Management, 5e, and Operations Management, 7e
© 2004 by Prentice Hall, Inc., Upper Saddle River, N.J. 0745815-1
Operations Operations ManagementManagement
ShortShort--Term SchedulingTerm SchedulingChapter 15Chapter 15
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OutlineOutline♦GLOBAL COMPANY PROFILE: DELTA
AIRLINES♦THE STRATEGIC IMPORTANCE OF SHORT-
TERM SCHEDULING♦SCHEDULING ISSUES
♦ Forward and Backward Scheduling♦Scheduling Criteria
♦SCHEDULING PROCESS-FOCUSED WORK CENTERS
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Outline Outline -- ContinuedContinued♦LOADING JOBS IN WORK CENTERS
♦ Input-Output Control♦ Gantt Charts♦ Assignment Method
♦SEQUENCING JOBS IN WORK CENTERS♦ Priority Rules for Dispatching Jobs♦ Critical Ratio♦ Sequencing N Jobs on Two Machines: Johnson’s
Rule
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Outline Outline -- ContinuedContinued♦LIMITATIONS OF RULE-BASED DISPATCHING
SYSTEMS ♦FINITE SCHEDULING ♦THEORY OF CONSTRAINTS♦BOTTLENECK WORK CENTERS♦REPETITIVE MANUFACTURING♦SCHEDULING FOR SERVICES
♦Scheduling Service Employees with Cyclical Scheduling
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Learning ObjectivesLearning Objectives
When you complete this chapter, you should be able to :
Identify or Define:♦ Gantt charts♦ Assignment methods♦ Sequencing rules♦ Johnson’s rules♦ Bottlenecks
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Learning Objectives Learning Objectives -- continuedcontinued
When you complete this chapter, you should be able to :
Describe or Explain:♦ Scheduling♦ Sequencing♦ Shop loading♦ Theory of constraints
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Delta AirlinesDelta Airlines♦10% of Delta’s flights disrupted per year—half of
those by weather♦Cost: $440-million in:
♦ lost revenue♦ overtime pay♦ food and lodging vouchers
♦$33-million hi-tech nerve center♦ 18 staff♦ $35-million savings
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Strategic Implications of Strategic Implications of ShortShort--Term SchedulingTerm Scheduling
♦By scheduling effectively, companies use assets more effectively and create greater capacity per dollar invested, which, in turn, lowers cost
♦This added capacity and related flexibility provides faster delivery and therefore better customer service
♦Good scheduling is a competitive advantage that contributes to dependable delivery
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♦ Deals with timing of operations♦ Short run focus: Hourly, daily, weekly♦ Types
TodayToday Due Date
BB EE
Forward SchedulingForward Scheduling
TodayToday Due Date
BB EE
Backward SchedulingBackward Scheduling
ShortShort--Term SchedulingTerm Scheduling
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♦Hospital♦ Outpatient treatments♦ Operating rooms
♦University♦ Instructors♦ Classrooms
♦Factory♦ Production♦ Purchases
© 1984-1994 T/Maker Co.
ShortShort--Term Scheduling ExamplesTerm Scheduling Examples
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Organization Managers Must ScheduleOperating room usePatient admissionNursing, security, maintenance staffsOutpatient treatments
Classrooms and audiovisual equipmentStudent and instructor schedulesGraduate and undergraduate courses
Production of goodsPurchase of materialsWorkers
Scheduling DecisionsScheduling Decisions
♦ Mount Sinai Hospital
♦ Indiana University
♦ Lockheed-Martin Factory
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Organization Managers Must ScheduleChefs, waiters, bartendersDelivery of fresh foodsEntertainersOpening of dining areas
Maintenance of aircraftDeparture timetablesFlight crews, catering, gate, and ticketing personnel
Scheduling DecisionsScheduling Decisions
♦ Hard Rock Cafe
♦ Delta Airlines
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Capacity Planning, Aggregate Scheduling, Master Capacity Planning, Aggregate Scheduling, Master Schedule, and ShortSchedule, and Short--Term SchedulingTerm Scheduling
Capacity Planning1. Facility size2. Equipment procurement
Aggregate Scheduling1. Facility utilization2. Personnel needs3. Subcontracting
Master Schedule1. MRP2. Disaggregation of master plan
Long-term
Intermediate-term
Short-term
Intermediate-term
Short-term Scheduling1. Work center loading2. Job sequencing
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Forward and Backward Forward and Backward SchedulingScheduling
♦Forward scheduling: begins the schedule as soon as the requirements are known♦ jobs performed to customer order♦ schedule can be accomplished even if due date is
missed♦ often causes buildup of WIP
♦Backward scheduling: begins with the due date of the final operation; schedules jobs in reverse order♦ used in many manufacturing environments, catering,
and scheduling surgery
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The Goals of ShortThe Goals of Short--Term Term SchedulingScheduling
♦ Minimize completion time♦ Maximize utilization (make effective use of
personnel and equipment)♦ Minimize WIP inventory (keep inventory
levels low)♦ Minimize customer wait time
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♦Qualitative factors♦ Number and variety of jobs♦ Complexity of jobs♦ Nature of operations
♦Quantitative criteria♦ Average completion time♦ Utilization (percentage of time facility is used)♦ WIP inventory (average number of jobs in system)♦ Customer waiting time (average lateness)
Choosing a Scheduling MethodChoosing a Scheduling Method
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Level Use Methods
Repetitive-Focused
Product-Focused
Process-Focused
Variety of Methods
Scheduling Methods Differ by Scheduling Methods Differ by ProcessProcess
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♦High variety, low volume systems♦ Products made to order♦ Products need different materials and processing♦Complex production planning and control♦ Production planning aspects
♦ Shop loading♦ Job sequencing
ProcessProcess--Focused Work CentersFocused Work Centers
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Requirements for Scheduling Requirements for Scheduling ProcessProcess--Focused Work CentersFocused Work Centers
♦ Schedule incoming orders without violating capacity constraints of individual work centers
♦ Check availability of tools and materials before releasing an order to a department
♦ Establish due dates for each job and check progress against need dates and order lead times
♦ Check work-in-progress as jobs move through the shop♦ Provide feedback on plant and production activities♦ Provide work-efficiency statistics and monitor operator times for
payroll and labor distribution analyses
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Types of Planning FilesTypes of Planning Files♦Item master file—contains information about each
component the firm produces or purchases♦Routing file—indicates each component’s flow
through the shop♦Work-center master file—contains information
about the work center such as capacity and efficiency
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ProcessProcess--Focused Planning SystemFocused Planning System
Forecast andFirm Orders
MaterialRequirements
Planning
AggregateProduction
PlanningResourceAvailability
MasterProductionScheduling
ShopFloor
Schedules
CapacityRequirements
PlanningRealistic?
Yes
No, modify CRP, MRP, or MPS
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♦Assigning jobs to work centers♦Considerations
♦ Job priority (e.g., due date)♦Capacity
♦ Work center hours available♦ Hours needed for job
♦Approaches♦Gantt charts (load and scheduling)—capacity♦Assignment method—job to specific work center
Loading Jobs in Work CentersLoading Jobs in Work Centers
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-+5-10-200Cumulative Change in Backlog
-200-150-100-50Cumulative Deviation
270270270270Actual Output
320320320320Planned Output
-35-40-40-10Cumulative Deviation
280285280250270Actual input
280280280280280Planned input
7/117/46/276/206/136/6Week Ending
InputInput--Output ControlOutput Control
Explanation: 270 input, 270 output, implies 0 change
Explanation: 250 input, 270 output implies –20 change (20
standard hours less in the work center)
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Order Release Begins Shop LoadingOrder Release Begins Shop Loading
No
Release Order
Hold Release
Priority and Capacity OK?
Gross Requirements
Scheduled Receipts
Available
Net Requirements
Planned Order Receipt
Planned Order Release
Yes
1 2
100
100
3
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Options for Managing Facility Options for Managing Facility WorkflowWorkflow
♦Correcting performance♦ Increasing capacity♦ Increasing or reducing input to the work center by:
♦ routing work to or from other work centers♦ increasing or decreasing subcontracting♦ producing less (or more)
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♦Shows relative workload in facility♦Disadvantages
♦Does not account for unexpected events♦Must be updated regularly
Work Center M T W Th FMetal Works Job 349 Job 350Mechanical Job D Job GElectronics Job B Job HPainting Job C Job E Job I
Gantt Load ChartGantt Load Chart
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Gantt Load Chart for Week of March 6Gantt Load Chart for Week of March 6♦Shows relative workload in facility♦Disadvantages
♦Does not account for unexpected events♦Must be updated regularly
Job 349Job 408Job 295PaintingJob 349Job 408ElectronicsJob 406Job 349MechanicalJob 350Job 349Metalworks
FridayThursdayWednesdayTuesdayMondayDayWork Center
Processing Unscheduled
Center not available (for example, maintenance time, repairs, shortages)
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Gantt Scheduling ChartGantt Scheduling ChartStart of an activity
Scheduled activity time allowed
Point in time when chart is reviewed
S T W T F SDay
Job
Job A
Job B
Job CMaintenance
Now
End of an activity
Actual work progressNon-production time
Day 1
Day 2
Day 3
Day 4
Day 5
Day 6
Day 7
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♦ Assigns tasks or jobs to resources♦ Type of linear programming model
♦ Objective♦ Minimize total cost, time etc.
♦ Constraints♦ 1 job per resource (e.g., machine)♦ 1 resource (e.g., machine) per job
Assignment MethodAssignment Method
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Assignment MethodAssignment Method——Four StepsFour Steps1 Subtract the smallest number in each row from every number in that row; then
subtract the smallest number in every column from every number in that column
2 Draw the minimum number of vertical and horizontal straight lines necessary to cover all zeros in the table♦ If the number of lines equals either the number of rows or the number of
columns, then you can make an optimal assignment (Step 4)♦ Otherwise:
3 Subtract the smallest number not covered by a line from every other uncovered number. Add the same number to any number(s) lying at the intersection of any two lines. Return to Step 2
4 Optimal assignments will always be at the zero locations of the table
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Assignment MethodAssignment Method——Type Setter Type Setter ExampleExample
$7$12$9T-50
$11$10$ 8S-66
$ 6$14$11R-34
CBATypesetterJob
Initial set-up
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Step 1a & 1bStep 1a & 1b
052T-50
320S-66
085R-34
CBATypesetterJob
032T-50
300S-66
065R-34
CBATypesetterJob
Step 1a Step 1b
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Step 2Step 2
032T-50
300S-66
065R-34
CBATypesetterJob
Smallest uncovered number
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Step 3Step 3
010T-50
500S-66
043R-34
CBATypesetterJob
Make assignments
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♦ Specifies order jobs will be worked♦ Sequencing rules
♦ First come, first served (FCFS)♦ Shortest processing time (SPT)♦ Earliest due date (EDD)♦ Longest processing time (LPT)♦ Critical ratio (CR)♦ Johnson’s rule
SequencingSequencing
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Priority Rules for Dispatching JobsPriority Rules for Dispatching Jobs First come, first served The first job to arrive at a work center is processed first Earliest due date The job with the earliest due date is processed first
Shortest processing time The job with the shortest processing time is processed first
Longest processing time The job with the longest processing time is processed first Critical ratio The ratio of time remaining to required work time remaining is
calculated, and jobs are scheduled in order of increasing ratio.
FCFS
EDD
SPT
LPT
CR
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♦ Process first job to arrive at a work center first♦ Average performance on most scheduling criteria♦ Appears ‘fair’ and reasonable to customers
♦ Important for service organizations♦ Example: Restaurants
First Come, First Served RuleFirst Come, First Served Rule
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Shortest Processing Time RuleShortest Processing Time Rule
♦Process job with shortest processing time first.♦Usually best at minimizing job flow and minimizing
the number of jobs in the system♦Major disadvantage is that long jobs may be
continuously pushed back in the queue.
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Longest Processing Time RuleLongest Processing Time Rule
♦Process job with longest processing time first♦Usually the least effective method of sequencing
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♦Process job with earliest due date first♦Widely used by many companies
♦ If due dates important♦ If MRP used
♦ Due dates updated by each MRP run
♦Performs poorly on many scheduling criteria
Earliest Due Date RuleEarliest Due Date Rule
Management, 7e
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♦♦Ratio of time remaining to work time Ratio of time remaining to work time remainingremaining
♦ Process job with smallest CR first♦ Performs well on average lateness
CR Time remainingWork days remaining
Due date – Today's dateWork (lead) time remaining
=
=
Critical Ratio (CR)Critical Ratio (CR)
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Advantages of the Critical RatioAdvantages of the Critical RatioScheduling RuleScheduling Rule
Use of the critical ratio can help to:♦ determine the status of a specific job♦ establish a relative priority among jobs on a common
basis♦ relate both stock and make-to-order jobs on a
common basis♦ adjust priorities and revise schedules automatically for
changes in both demand and job progress♦ dynamically track job progress and location
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Criteria to Evaluate Priority RulesCriteria to Evaluate Priority Rules
Jobs#times ΣFlowtime completion Average =
times Flowtimes Process nUtilizatio
ΣΣ
=
times Processtimes Flow system the in jobs of number Average
ΣΣ
=
jobs of Numbertimes Late lateness job Average Σ
=
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Job Sequencing ExampleJob Sequencing Example
239E153D188C62B86A
Job Due Date (day)
Job WorkProcessing time in days
Job
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FCFSFCFSValueParameter
2.2 daysAverage job lateness
2.75 jobsAverage number of jobs in the system
36.4%Utilization
15.4 daysAverage completion time
E
D
C
B
A
Sequence
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SPTSPTValueParameter
1.8 daysAverage job lateness
2.32 jobsAverage number of jobs in the system
43.1%Utilization
13 daysAverage completion time
E
C
A
D
B
Sequence
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EDDEDDValueParameter
1.2 daysAverage job lateness
2.43 jobsAverage number of jobs in the system
41.2%Utilization
13.6 daysAverage completion time
E
C
D
A
B
Sequence
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LPTLPTValueParameter
9.6 daysAverage job lateness
3.68 jobsAverage number of jobs in the system
27.2%Utilization
20.6 daysAverage completion time
B
D
A
C
E
Sequence
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SummarySummary
Average Lateness (Days)
Average Number of Jobs in the
System
Utilization (%)
Average Completion Time (days)
Rule
9.63.6827.220.6LPT1.22.4341.213.6EDD1.82.3243.113.0SPT2.22.7536.415.4FCFS
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Critical Ratio (CR)Critical Ratio (CR)
0.390.200.440.330.75
Critical Ratio
239E153D188C62B86A
Job Due Date (day)
Job WorkProcessing
time in days
Job
D
B
E
C
A
Sequence
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♦ Used to sequence N jobs through 2 machines in the same order
© 1995 Corel Corp.
© 1995 Corel Corp.
Saw Drill
Job AJob A
Job BJob B
Job CJob C
Jobs (N = 3)
Johnson’s RuleJohnson’s Rule
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Johnson's RuleJohnson's Rule——Scheduling N Scheduling N Jobs on Two MachinesJobs on Two Machines
➊ All jobs are to be listed, and the time each requires on a machine shown.
➋ Select the job with the shortest activity time. If the shortest time lies with the first machine, the job is scheduled first; if with the second machine, the job is scheduled last.
➌ Once a job is scheduled, eliminate it.➍ Apply steps 2–3 to the remaining jobs, working
toward the center of the sequence.
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List jobs andactivity times
Select job withshortest time
Machine?
ScheduleFIRST
ScheduleLAST
Eliminate jobfrom list
Jobs left?Breakarbitrarily
Ties?
YesYes
11
22
YesYesStop
NoNo
NoNo
Johnson’s Rule StepsJohnson’s Rule Steps
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Johnson’s RuleJohnson’s Rule——ExampleExample
710D127E
48C63B25A
Work Center 2(Lathe)
Work Center 1(Drill Press)
Job
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Johnson’s RuleJohnson’s Rule——ExampleExampleAStep 1
ABStep 2
ACBStep 3
ACDBStep 4
ACDEBStep 5
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Graphical Depiction of Job FlowGraphical Depiction of Job Flow
A
C ADEB
CDEBWork center 1
Work center 2
0 3 10 20 28 33
0 3 9 10 20 22 28 29 33 35Time =>
Time =>
B E D C A
= Job completed= Idle
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Limitations of RuleLimitations of Rule--Based Based Dispatching SystemsDispatching Systems
♦Scheduling is dynamic; therefore, rules need to be revised to adjust to changes in process, equipment, product mix, and so on.
♦Rules do not look upstream or downstream; idle resources and bottleneck resources in other departments may not be recognized.
♦Rules do not look beyond due dates.
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Finite Scheduling SystemFinite Scheduling System
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♦ Deals with factors limiting company’s ability to achieve goals
♦ Types of constraints♦ Physical
♦ Example: Machines, raw materials♦ Non-physical
♦ Example: Morale, training
♦ Limits throughput in operations
Theory of ConstraintsTheory of Constraints
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Theory of ConstraintsTheory of ConstraintsA Five Step ProcessA Five Step Process
➀ Identify the constraints➁ Develop a plan for overcoming the identified
constraints➂ Focus resources on accomplishing the constraints
identified in step 2➃ Reduce the effects of the constraints by off-
loading work or by expanding capability➄ Once one set of constraints is overcome, return to
the first step and identify new constraints
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♦ Bottleneck work centers have less capacity than prior or following work centers
♦ They limit production output © 1995 Corel Corp.
Bottleneck Work CentersBottleneck Work Centers
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Techniques for Dealing With Techniques for Dealing With BottlenecksBottlenecks
1. Increase the capacity of the constraint2. Ensure well-trained and cross-trained employees
are available to operate and maintain the work center causing the constraint
3. Develop alternate routings, processing procedures, or subcontractors
4. Move inspections and tests to a position just before the constraint
5. Schedule throughput to match the capacity of the bottleneck
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The 10 Commandments for The 10 Commandments for Correct SchedulingCorrect Scheduling
1. Utilization of a non-bottleneck resource is determined not by its own capacity but by some other constraint in the system
2. Activating a resource is not synonymous with utilizing a resource
3. An hour lost at a bottleneck is an hour lost of the whole system
4. An hour saved at a non-bottleneck is a mirage5. The transfer batch may not, and many times
should not, be equal to the process batch
Management, 7e
Transparency Masters to accompany Heizer/Render –Principles of Operations Management, 5e, and Operations Management, 7e
© 2004 by Prentice Hall, Inc., Upper Saddle River, N.J. 0745815-65
The 10 Commandments for The 10 Commandments for Correct SchedulingCorrect Scheduling
6. The amount processed should be verifiable and not fixed
7. Capacity and priority need to be considered simultaneously, not sequentially
8. Damage from unforeseen problems can be isolated and minimized
9. Plant capacity should not be balanced10. The sum of the local optimums is not equal to
the global optimum
Transparency Masters to accompany Heizer/Render –Principles of Operations Management, 5e, and Operations Management, 7e
© 2004 by Prentice Hall, Inc., Upper Saddle River, N.J. 0745815-66
Repetitive ManufacturingRepetitive Manufacturing——Advantages of Level Material UseAdvantages of Level Material Use♦Lower inventory levels, releasing capital for other
uses♦Faster product throughput♦ Improved component quality and hence improved
product quality♦Reduced floor space requirements♦ Improved communication among employees
because they are closer together♦Smoother production process because large lots
have not “hidden” the problems
Transparency Masters to accompany Heizer/Render –Principles of Operations Management, 5e, and Operations Management, 7e
© 2004 by Prentice Hall, Inc., Upper Saddle River, N.J. 0745815-67
Scheduling for ServicesScheduling for Services
♦Appointment systems—doctor’s office♦Reservations systems—restaurant and car rental♦First come, first served—deli♦Most critical first—hospital trauma room
Transparency Masters to accompany Heizer/Render –Principles of Operations Management, 5e, and Operations Management, 7e
© 2004 by Prentice Hall, Inc., Upper Saddle River, N.J. 0745815-68
Cyclical SchedulingCyclical Scheduling
♦Plan a schedule equal in weeks to the number of people being scheduled
♦Determine how many of each of the least desirable off-shifts must be covered each week
♦Begin the schedule for one worker by scheduling the days off during the planning cycle (at a rate of two days per week on average)
Transparency Masters to accompany Heizer/Render –Principles of Operations Management, 5e, and Operations Management, 7e
© 2004 by Prentice Hall, Inc., Upper Saddle River, N.J. 0745815-69
Cyclical Scheduling Cyclical Scheduling -- ContinuedContinued♦Assign off-shifts for the first worker♦Repeat this pattern for each other worker, but
offset by one week from the previous♦Allow each worker to pick his/her “slot” or “line” in
order of seniority♦Mandate that any changes from the chosen
schedule are strictly between the personnel wanting to switch