Project4-solution - CDA6530: Performance Models of...

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CDA6530: Performance Models of Computers and Networks Project 4 solution: realistic simulation using discrete event simulation (Fall, 2011)
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2 Queuing Network: Machine Repairman Model c=3 machines Each fails at rate λ =0.2/min (expo. distr.) Single repairman, repair rate μ =0.5/min Define: N(t) – no. of machines working 0 N(t) c
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3 Analytical Results π k = 1 k ! ( μ λ ) k π 0 c X i =0 π i =1 π 1 0 = c X k =0 1 k ! ( μ λ ) k Utilization rate? =P(repairman busy) = 1- π c E[N]? E [ N ]= ημ λ
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Pre Simulation Physical entities to consider? c=3 working machines Do not need to consider repairman since state of machine can represent repairman’s state workingNum: number of working machine Each entity’s data: Status: ‘working’, ‘queuing’, ‘repairing’ (w, q, r) nextT: next event time = expo. with λ (when ‘working’) = (when ‘queuing’) How long need to wait depend on others and the queue = expo. with μ (when ‘repairing’) 4
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Project4-solution - CDA6530: Performance Models of...

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