Consider the following single-server queueing system from time = 0 to time = 20 min. Arrivals...
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Consider the following single-server queueing system from time = 0 to time = 20 min. Arrivals and service times are: • Customer #1 arrives at t = 1 and requires 5 minutes of service time • Customer #2 arrives at t = 1 and requires 2 minutes of service time • Customer #3 arrives at t = 2 and requires 3 minute of service time • Customer #4 arrives at t = 12 and requires 6 minute of service time Solve for system throughput (X) (# of customers served per unit time during the simulation time), total busy time (B), mean service time (Ts), utilization (U), aver- age delay in queue (D), average number of customers in the queue (Q), and average number of customers in the system (L). Draw the graph of time vs number of cus- tomers in the system. Show your work to receive full credit. Consider the following single-server queueing system from time = 0 to time = 20 min. Arrivals and service times are: • Customer #1 arrives at t = 1 and requires 5 minutes of service time • Customer #2 arrives at t = 1 and requires 2 minutes of service time • Customer #3 arrives at t = 2 and requires 3 minute of service time • Customer #4 arrives at t = 12 and requires 6 minute of service time Solve for system throughput (X) (# of customers served per unit time during the simulation time), total busy time (B), mean service time (Ts), utilization (U), aver- age delay in queue (D), average number of customers in the queue (Q), and average number of customers in the system (L). Draw the graph of time vs number of cus- tomers in the system. Show your work to receive full credit.
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