The first five columns of the following table contain information about a set of four jobs that just arrived (end of Hour 0 or beginning of Hour 1) at an engine lathe. They are the only ones now waiting to be processed. Several operations, including the one at the engine lathe, remain to be done on each job. Determine the schedule by using (a) the CR rule and (b) the S/RO rule. Compare these schedules to those generated by FCFS, SPT, and EDD. Job ProcessingTime at EngineLathe (hours) TimeRemainingUntil Due Date(days) Number ofOperationsRemaining Shop TimeRemaining(days) CR S/RO 1 2 3 4 2.3 10.5 6.2 15.6 15 10 20 8 10 2 12 5 6.1 7.8 14.5 10.2 2.46 1.28 1.38 0.78 0.89 1.10 0.46 -0.44

The first five columns of the following table contain information about a set of four jobs that just arrived (end of Hour 0 or beginning of Hour 1) at an engine lathe. They are the only ones now waiting to be processed. Several operations, including the one at the engine lathe, remain to be done on each job. Determine the schedule by using (a) the CR rule and (b) the S/RO rule. Compare these schedules to those generated by FCFS, SPT, and EDD. Job ProcessingTime at EngineLathe (hours) TimeRemainingUntil Due Date(days) Number ofOperationsRemaining Shop TimeRemaining(days) CR S/RO 1 2 3 4 2.3 10.5 6.2 15.6 15 10 20 8 10 2 12 5 6.1 7.8 14.5 10.2 2.46 1.28 1.38 0.78 0.89 1.10 0.46 -0.44

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter4: Linear Programming Models

Section: Chapter Questions

Problem 111P

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Concept explainers

Optimization Models

Optimization models are mathematical models that help organizations determine the best way to allocate scarce resources to achieve specific objectives. These models can be used to solve a wide variety of problems, from finding the most efficient route for a delivery truck to determining the optimal mix of products to stock in a store.

Question

Job

Processing
Time at Engine
Lathe (hours)

Time
Remaining
Until Due Date
(days)

Number of
Operations
Remaining

Shop Time
Remaining
(days)

S/RO

2.3

10.5

6.2

15.6

6.1

7.8

14.5

10.2

2.46

1.28

1.38

0.78

0.89

1.10

0.46

-0.44

Processes involved in arranging, controlling, and optimizing the workloads and work activities in a manufacturing or production setup to minimize cost and increase the efficiency of staff and equipment.

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