Queing

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  • Parameter ValueM/M/1 (exponential service times)Arrival rate(lambda) 25Service rate(mu) 32Number of servers 1Server cost $/time 0Waiting cost $/time 2600

    Parameter ValueM/M/1 (exponential service times)Arrival rate(lambda) 25Service rate(mu) 38Number of servers 1Server cost $/time 0Waiting cost $/time 2600

    Parameter ValueM/M/1 (exponential service times)Arrival rate(lambda) 25Service rate(mu) 38Number of servers 1Server cost $/time 4000Waiting cost $/time 2600

  • Parameter Value Minutes SecondsAverage server utilization 0.78Average number in the queue(Lq) 2.79Average number in the system(Ls) 3.57Average time in the queue(Wq) 0.11 6.7 401.79Average time in the system(Ws) 0.14 8.57 514.29Cost (Labor + # waiting*wait cost) 7254.46Cost (Labor + # in system*wait cost) 9285.71

    Parameter Value Minutes SecondsAverage server utilization 0.66Average number in the queue(Lq) 1.27Average number in the system(Ls) 1.92Average time in the queue(Wq) 0.05 3.04 182.19Average time in the system(Ws) 0.08 4.62 276.92Cost (Labor + # waiting*wait cost) 3289.47Cost (Labor + # in system*wait cost) 5000

    Parameter Value Minutes SecondsAverage server utilization 0.66Average number in the queue(Lq) 1.27Average number in the system(Ls) 1.92Average time in the queue(Wq) 0.05 3.04 182.19Average time in the system(Ws) 0.08 4.62 276.92Cost (Labor + # waiting*wait cost) 7289.47Cost (Labor + # in system*wait cost) 9000

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