Question: (1) Assuming a Poisson arrival distribution and an exponential service time distribution, apply queuing models to the case situation and evaluate the results. Single Server

(1) Assuming a Poisson arrival and an exponential service time apply queuing models to the case situation and evaluate the results.
Single Server Queue Model
Bourbon County Court
Lambda.............................................8.92
Mu..................................................10.91
Probability system is empty......................0.18
Average number in queue........................3.66
Average number in system.......................4.48
Average time in queue............................0.41
Average waiting time in system.................0.50
Probability arrival has to wait...................0.82
(2) What are the economics of the situation using queuing model analysis?
(3) What are your final recommendations using queuing model analysis.
(4) Advanced Assignment (requires the use of a statistical package). Do the customer arrival and service empirical (actual) distributions in the case match the theoretical distributions assumed in queuing models?

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1 The average wait time in the queue is 41 hours or 246 minutes which is an unacceptable service level The other queuing performance statistics are equally bad Other useful information for the single ... View full answer

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