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Consider two different workstations. Each workstation consists of machines A and B, respectively. Machine A has a mean effective process time of 1.0 hours and an c² of 0.25. Machine B has a mean effective process time of 0.85 hour and an c² of 4. Assume the part arrival and service processes follow a general distribution. 1 (a) For an arrival rate of 0.92 job per hour with c2 = 1, which machine will have a shorter average cycle time? (b) Now put one more machine of type A at the station and double the arrival rate (i.e., double the capacity and the throughput). What happens to cycle time?

Consider two different workstations. Each workstation consists of machines A and B, respectively. Machine A has a mean effective process time of 1.0 hours and an c² of 0.25. Machine B has a mean effective process time of 0.85 hour and an c² of 4. Assume the part arrival and service processes follow a general distribution. 1 (a) For an arrival rate of 0.92 job per hour with c2 = 1, which machine will have a shorter average cycle time? (b) Now put one more machine of type A at the station and double the arrival rate (i.e., double the capacity and the throughput). What happens to cycle time?

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 9P
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Consider two different workstations. Each workstation consists of machines A and B, respectively. Machine A has a mean effective process time of 1.0 hours and an c² of 0.25. Machine B has a mean effective process time of 0.85 hour and an c² of 4. Assume the part arrival and service processes follow a general distribution. 1 (a) For an arrival rate of 0.92 job per hour with c2 = 1, which machine will have a shorter average cycle time? (b) Now put one more machine of type A at the station and double the arrival rate (i.e., double the capacity and the throughput). What happens to cycle time?
Transcribed Image Text:Consider two different workstations. Each workstation consists of machines A and B, respectively. Machine A has a mean effective process time of 1.0 hours and an c² of 0.25. Machine B has a mean effective process time of 0.85 hour and an c² of 4. Assume the part arrival and service processes follow a general distribution. 1 (a) For an arrival rate of 0.92 job per hour with c2 = 1, which machine will have a shorter average cycle time? (b) Now put one more machine of type A at the station and double the arrival rate (i.e., double the capacity and the throughput). What happens to cycle time?
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