Total cost on waiting = ((Number of servers * Server cost) + (Average number in queues* Waiting cost)) Server Cost = 0.75 per minute Waiting cost =5.83 per minute Arrival rate Service rate Number of servers Assumes Poisson process for arrivals and services. 3.7 1.33 6 Utilization P(0), probability that the system is empty Lq, expected queue length Ls, expected number in system Wq, expected time in queue Ws, expected total time in system 46.37% 0.0613 0.0636 2.8455 0.0172 0.7691 Total cost: 4.8706 Arrival rate Assumes Poisson process for arrivals and services. 3.7 Service rate Number of servers 1.33 5 Utilization P(0), probability that the system is empty Lq, expected queue length Ls, expected number in system Wq, expected time in queue Ws, expected total time in system 55.64% 0.0593 0.2328 3.0147 0.0629 0.8148 Total cost :5.10709 Arrival rate Service rate Number of servers 3.7 1.33 7 Utilization P(0), probability that the system is empty 39.74% 0.0618 Lq, expected queue length Ls, expected number in system Wq, expected time in queue Ws, expected total time in system Total cost :5.35083 0.0173 2.7993 0.0047 0.7566