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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
The county has decided to consolidate several of its DMV facilities into a larger, centrally located facility. The DMV manager wants you to calculate the operational characteristics of a multiserver, single-phase waiting line system. The arrival rate is expected to be 72 customers per hour and follows a Poisson distribution. The number of identical servers is seven. Each server will be able to serve an average of 12 customers per hour. The service times are described by an exponential distribution. Your job is to calculate the following:
(a) The average system utilization
(b) The probability of no customers in the system
(c) The average number of customers waiting in line
(d) The average time a customer waits in line
(e) The average time a customer spends in the system
Before You Begin
Once again, the key is identifying the mean arrival rate and the mean service rate. Here the arrival rate is given as 72 customers per hour, while each of the seven servers is able to serve 12 customers per hour. Therefore, 84 customers can be served per hour.
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