At the Franklin Post Office, patrons wait in a single line for thefirst open window. On average, 100 patrons enter the post officeper hour, and each window can serve an average of 45 patrons perhour. The post office estimates a cost of $0.10 for each minute apatron waits in line and believes that it costs $20 per hour to keepa window open. Interarrival times and service times areexponential.a. To minimize the total expected hourly cost, how manywindows should be open?b. If the post office's goal is to ensure that at most 5% of allpatrons will spend more than five minutes in line, how manywindows should be open?

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Answered: At the Franklin Post Office, patrons…

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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