Maths Solutions 28

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- assembly operation are shown:
Service Time
Design
Mean
Standard Deviation
A
6.0
3.0
B
6.25
0.6
a. What is the service rate in jobs per hours for each design?
b. For the service rates in part (a), what design appears to provide the best or fastest service rate?
c. What are the standard deviations of the service times in hours?
d. Use the M/G/1 model to compute the operating characteristics for each design.
e. Which design provides the best operating characteristics? Why?

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