The bank manager is concerned with its waiting line system in his bank. Currently bank uses a single-server, single-line, single-phase system. Based on historical evidence, the average number of customers arriving per hour is C1 and is described by a Poisson distribution. The service rate is <=15 >11 customers per hour with the service times following an exponential distribution. The customers are come from an infinite population. The manager of the bank would like calculate the operational characteristics of the waiting line system that: (a) What is the average system utilization? (b) What is the average number of customers in the system? (c) What is the average number of customers waiting in line? (d) What is the average time a customer spends in the system?
The bank manager is concerned with its waiting line system in his bank. Currently bank uses a single-server, single-line, single-phase system. Based on historical evidence, the average number of customers arriving per hour is C1 and is described by a Poisson distribution. The service rate is <=15 >11 customers per hour with the service times following an exponential distribution. The customers are come from an infinite population. The manager of the bank would like calculate the operational characteristics of the waiting line system that:
(a) What is the average system utilization?
(b) What is the average number of customers in the system?
(c) What is the average number of customers waiting in line?
(d) What is the average time a customer spends in the system?
(e) What is the average time a customer spends waiting in line?
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