Question
Consider a G/G/2 queuing system in which customers take service from Server 1 when both servers are available. Inter-arrival times: 0.13, 0.33, 0.12, 0.21, 0.25,
Consider a G/G/2 queuing system in which customers take service from Server 1 when both servers are available. Inter-arrival times: 0.13, 0.33, 0.12, 0.21, 0.25, 0.11, 0.19, 0.62, 0.52, 0.29, 0.81, 0.24, 0.42, 0.12 Service times of Server 1: 0.31, 0.38, 0.55, 0.48, 0.66, 0.83, 0.41, 0.19, 0.63, 0.77, 0.32, 0.24, 0.28 Service times of Server 2: 0.4, 0.32, 0.56, 0.71, 0.54, 0.81, 0.12, 0.51, 0.45, 0.41, 0.66, 0.24, 0.23 Using the inter-arrival and service times given above (in minutes) in the given order, create a record of hand simulation using the event-scheduling algorithm until time TE = 3.5 minutes and compute the below stated performance measures. Assume that the first arrival occurs at time t = 0.
CALCULATE ; a. Average number of jobs in the system _________________________________ b. Average number of jobs in the queue _________________________________ c. Utilization of Server 1 _________________________________ d. Utilization of Server 2 _________________________________ e. Average time in the system _________________________________ f. Average waiting time in the queue _________________________________ g. Maximum number of jobs in the queue _________________________________ h. Maximum waiting time in the queue _________________________________ i. Total number of jobs that arrived at the system _________________________________ j. Total number of jobs that started service _________________________________ k. Total number of jobs completed service _________________________________
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