Consider two different machines A and B that could be used at a station. Machine A has a mean effective process time of 1.0 hours and an SCV of 0.25. Machine B has a mean effective process 푡푒푐2푒time of 0.85 hour and an SCV of 4.

a. For an arrival rate of 0.92 job per hour with ce^2 = 1, which machine will have a shorter average cycle time?

b. Now put two machines of type A at the station and double the arrival rate (i. e., double the capacity and the throughput). What happens to cycle time? Do the same for machine B. Which type of machine produces shorter average cycle time?

c. With only one machine at each station, let the arrival rate be 0.95 job per hour with ce^2= 1. Recompute the average time spent at the stations for both machine A and machine B. Compare with a.

d. Consider the station with one machine of type A.

i. Let the arrival rate be one-half. What is the average time spent at the station? What happens to the average time spent at the station if the arrival rate is increased by one percent (i. e., to 0.505)? What percentage increase in wait time does this represent?

ii. Let the arrival rate be 0.95. What is the average time spent at the station? What happens to the average time spent at the station if the arrival rate is increased by one percent (i. e., to 0.9595)? What percentage increase in wait time does this represent?