Consider an M/G/1/GD/∞/∞ queuing system in which anaverage of 10 arrivals occur each hour. Suppose that eachcustomer’s service time follows an Erlang distribution, withrate parameter 1 customer per minute and shape parameter 4.a Find the expected number of customers waiting inline.b Find the expected time that a customer will spend inthe system.c What fraction of the time will the server be idle?

Consider an M/G/1/GD/∞/∞ queuing system in which anaverage of 10 arrivals occur each hour. Suppose that eachcustomer’s service time follows an Erlang distribution, withrate parameter 1 customer per minute and shape parameter 4.a Find the expected number of customers waiting inline.b Find the expected time that a customer will spend inthe system.c What fraction of the time will the server be idle?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.4: Important Queueing Relationships

Problem 6P

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