3 35 The customers go to the company are at the rate of one arrival every 12 minutes. The time between arrivals follows an exponential distribution. Each customer gets the service with mean 8 minutes. There is just one person to serve. Company management wants to learn performance values for the service. Answer the following questions for the company. a. Determine the arrival frequency, service frequency and system utilization factor b. Determine the probability that no customer in the service c. Determine expected number of customers in system d. Determine expected number of customers in queue e. Determine expected waiting time in system f. Determine expected waiting time in queue
3 35 The customers go to the company are at the rate of one arrival every 12 minutes. The time between arrivals follows an exponential distribution. Each customer gets the service with mean 8 minutes. There is just one person to serve. Company management wants to learn performance values for the service. Answer the following questions for the company. a. Determine the arrival frequency, service frequency and system utilization factor b. Determine the probability that no customer in the service c. Determine expected number of customers in system d. Determine expected number of customers in queue e. Determine expected waiting time in system f. Determine expected waiting time in queue
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 26P
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