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Question 3 The next two problems deal with a rebuild process. You have joined Co

ID: 2930393 • Letter: Q

Question

Question 3 The next two problems deal with a rebuild process. You have joined Consolidated Calipers. Consolidated Calipers makes new brake calipers and rebuilds "trade in" housings. The rebuild calipers arrive at the dis-assemble area about one every 30 minutes. The dis-assembly takes on average per unit about 25 minutes. Arrivals follow Poisson and service times are exponentially distributed.   What is the arrival rate (lambda)? Blank 1 (Give all answers to three decimals) What is the service rate (mu)? Blank 2 What is average number of calipers waiting (in inventory)? Blank 3 What is the average in the system (inventory plus the one being dis-assembled)? Blank 4 What is the average time a caliper spends in disassembly waiting for disassembly? Blank 5 What is the average time a caliper spends in the disassembly area (wait plus the time to disassemble)? Blank 6 (be sure to answer all six parts)

Explanation / Answer

a) arrival rate = 25

b) service rate = 30

c) Lq   = 416666

d) L = 5

e) Wq = 0.16666

f) W = 0.2

lambda mu c utilization % idle W L Wq Lq 25 30 1 0.83333333 0.166667 0.2 5 0.166666667 4.166666667
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