The Draper Clinic has two general practitioners who seepatients daily. An average of 6.5 patients arrive at the clinicper hour (Poisson distributed). Each doctor spends an average of 15 minutes (exponentially distributed) with a patient.The patients wait in a waiting area until one of the two doctors is able to see them. However, since patients typically donot feel well when they come to the clinic, the doctors do notbelieve it is good practice to have a patient wait longer thanan average of 20 minutes. Should this clinic add a thirddoctor, and, if so, will this alleviate the waiting problem?

The Draper Clinic has two general practitioners who seepatients daily. An average of 6.5 patients arrive at the clinicper hour (Poisson distributed). Each doctor spends an average of 15 minutes (exponentially distributed) with a patient.The patients wait in a waiting area until one of the two doctors is able to see them. However, since patients typically donot feel well when they come to the clinic, the doctors do notbelieve it is good practice to have a patient wait longer thanan average of 20 minutes. Should this clinic add a thirddoctor, and, if so, will this alleviate the waiting problem?

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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