Question
Jobs arrive randomly at a particular assembly plant; assume that the arrival rate is five jobs per hour. Service times (in minutes per job) do
Jobs arrive randomly at a particular assembly plant; assume that the arrival rate is five jobs per hour. Service times (in minutes per job) do not follow the exponential probability distribution. Two proposed designs for the plant's assembly operation are shown:
Use the M/G/1 model to compute the operating characteristics for each design.
Service Time | ||
Design | Mean | Standard Deviation |
A | 5.5 | 2.75 |
B | 4 | 0.6 |
a. What is the service rate in jobs per hour for each design?
(Example: Design A: 1/5, Design B: 5)
b. For the service rates in part (a), what design appears to provide the best or fastest service rate?
Choose: Design A or Design B
c. i. The average number of jobs in the waiting line
(Use fraction or whole number. Example: Design A: 1/5, Design B: 5)
c. ii. The average number of jobs in the system.
(Use fraction or whole number. Example: Design A: 1/5, Design B: 5)
c. iii. The average time a job spends in the waiting line (in hours)
(Use fraction or whole number. Example: Design A: 1/5, Design B: 5)
c. iv. The average time a job spends in the system (in hours)
(Use fraction or whole number. Example: Design A: 1/5, Design B: 5)
d. Which design provides the best operating characteristics? Why?
A. Design A, since it will take shorter time to finish
B. Design B, since it will take shorter time to finish
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