Movie Tonight is a typical video and DVD movie rental outlet for home viewing customers. During the weeknight evening, customers arrive at Movies Tonight at the average rate of 1.25 customers per minute. The checkout clerk can serve an average of two customers per minute. Assume Poisson arrivals and exponential service times. What is the probability that no customers are in the system? What is the average number of customers waiting services? What is the average time a customer waits for service to begin? Do the operating characteristics indicate that the one-clerk check out system provides an acceptable level of service?

Movie Tonight is a typical video and DVD movie rental outlet for home viewing customers. During the weeknight evening, customers arrive at Movies Tonight at the average rate of 1.25 customers per minute. The checkout clerk can serve an average of two customers per minute. Assume Poisson arrivals and exponential service times. What is the probability that no customers are in the system? What is the average number of customers waiting services? What is the average time a customer waits for service to begin? Do the operating characteristics indicate that the one-clerk check out system provides an acceptable level of service?

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 9P

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