In the Colpitts Control Devices workload balancing problem presented in this chapter a successor task could be assigned to the same workstation as an immediate predecessor task. Suppose we change that assumption so that a successor task cannot be assigned to a workstation containing an immediate predecessor task.

a. What change is required to enforce this new restriction?

b. With that new restriction in force, solve Colpitts workload balancing problem to determine the minimum cycle time with 1, 2, 3, 4, 5, 6, 7, and 8 workstations and produce a graph of the results like the one shown in Figure 6.27.

c. Explain how and why your results differ from those shown in the graph in Figure 6.27.

Fig. 6.27

Chapter 6 Integer Linear Programming Distributions Correlations Results Decisions Constraints Objective Parameters Simulate Optimize Reports Charts Decision Home Insert Page Layout Formulas Dala Review View Tree URE 6.27 Exploring results for the parameterized line balancing problem U Tell me what you want to do Figh-24 - Excel Add-ins Analytic Solver Platform XL Miner Platform Sign Asia Get Data Options Help Data Options Analysis Melo . Simulation Model Optimization Model Solve Action Parameters AF Publish Load/Save Dist Trials 1000 XS Reset All Sim. 6 1 - E Opt4 Tools Opt 1 Opt 2 Opt 13 Opt 4 N O P Opt 35 Opt #6 Opt #7 Opt 8 4. > f =PsiOptParam(1,8) S M T A B L C D E F G H K Colpitts Control Devices Assigned? Assigned (Y-1, N-O) Station Task B C D E F G H Time in minutes 1 2 0.20 1 0.27 1 0.21 0 0.18 0 0.18 09 1 0.19 0 D 0.29 0 0 0.26 Total Task Time 0.47 0.35 Workstation 3 4 5 6 9 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0.4 0.55 0 0 7 9 0 0 0 0 0 8 0 0 0 0 a. Multiple Optimizations 1.78 1.8 1 1 3 2 2 0. 1.6 O 0 0 1 1 1 1 Max Station 4 4 4 1.4 0 0 1.2 Cycle Time 0.55 10.92 1 0.8 + 0.64 0.6+ Precedence Relations Predecessor Successor Successor P-SCO B A -2 A D 1 E -1 F 0 D F 1 E G -2 F G G 0.55 0.45 anayic sover platfor2020:28) 0:36 Not Idrominciale Copy 2018 Frontne vsem 029 0.4 + 0.2+ 0 1 2 3 4 5 6 7 8 Parameter SMS 14 Load Balancing Precedence Network o Calculate 1 6.14 The Fixed-Charge Problem Lo func- Chapter 6 Integer Linear Programming Distributions Correlations Results Decisions Constraints Objective Parameters Simulate Optimize Reports Charts Decision Home Insert Page Layout Formulas Dala Review View Tree URE 6.27 Exploring results for the parameterized line balancing problem U Tell me what you want to do Figh-24 - Excel Add-ins Analytic Solver Platform XL Miner Platform Sign Asia Get Data Options Help Data Options Analysis Melo . Simulation Model Optimization Model Solve Action Parameters AF Publish Load/Save Dist Trials 1000 XS Reset All Sim. 6 1 - E Opt4 Tools Opt 1 Opt 2 Opt 13 Opt 4 N O P Opt 35 Opt #6 Opt #7 Opt 8 4. > f =PsiOptParam(1,8) S M T A B L C D E F G H K Colpitts Control Devices Assigned? Assigned (Y-1, N-O) Station Task B C D E F G H Time in minutes 1 2 0.20 1 0.27 1 0.21 0 0.18 0 0.18 09 1 0.19 0 D 0.29 0 0 0.26 Total Task Time 0.47 0.35 Workstation 3 4 5 6 9 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0.4 0.55 0 0 7 9 0 0 0 0 0 8 0 0 0 0 a. Multiple Optimizations 1.78 1.8 1 1 3 2 2 0. 1.6 O 0 0 1 1 1 1 Max Station 4 4 4 1.4 0 0 1.2 Cycle Time 0.55 10.92 1 0.8 + 0.64 0.6+ Precedence Relations Predecessor Successor Successor P-SCO B A -2 A D 1 E -1 F 0 D F 1 E G -2 F G G 0.55 0.45 anayic sover platfor2020:28) 0:36 Not Idrominciale Copy 2018 Frontne vsem 029 0.4 + 0.2+ 0 1 2 3 4 5 6 7 8 Parameter SMS 14 Load Balancing Precedence Network o Calculate 1 6.14 The Fixed-Charge Problem Lo func