Question: Build Simio models for four queuing systems presented below. In each case, first compute numerical values for the queuing-theoretic steady-state output performance metrics , ,
Build Simio models for four queuing systems presented below. In each case, first compute numerical values for the queuing-theoretic steady-state output performance metrics , , , , and using the excel worksheet, and then compare these with your simulation estimates and confidence intervals. All times are in minutes and use minutes as well throughout your Simio models.
M/M/1 queue with arrival rate per minute and service rate per minute. M/M/4 queue with arrival rate per minute and service rate per minute for each of the five individual servers. M/G/1 queue with arrival rate per minute and service-time distribution being gamma (1.7, 0.2) (shape and scale parameters, respectively). You may need to do some investigation about the properties of the Gamma distribution to use the formulas in the excel worksheet (Queuing Formulas) M/G/1 queue with arrival rate per minute and service-time distribution being Erlang (2, 10) (shape and rate parameters, respectively). You may need to do some investigation about the properties of the Erlang distribution to use the formulas in the excel worksheet (Queuing Formulas).
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