Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take, on average, 10 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. (Answers in Appendix D)a. What percentage of time is Judy idle?b. How much time, on average, does a student spend waiting in line?c. How long is the (waiting) line, on average?d. What is the probability that an arriving student (just before entering the AdministrativeServices Office) will find at least one other student waiting in line?

Students arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take, on average, 10 minutes to be processed. The service counter is staffed by only one clerk, Judy Gumshoes, who works eight hours per day. Assume Poisson arrivals and exponential service times. (Answers in Appendix D)a. What percentage of time is Judy idle?b. How much time, on average, does a student spend waiting in line?c. How long is the (waiting) line, on average?d. What is the probability that an arriving student (just before entering the AdministrativeServices Office) will find at least one other student waiting in line?

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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