The Delacroix Inn in Alexandria is a small exclusive hotelwith 20 rooms. Guests can call housekeeping from 8:00 A.M.to midnight for any of their service needs. Housekeepingkeeps one person on duty during this time to respond to guest calls. Each room averages 0.7 call per day to house-keeping (Poisson distributed), and a guest request requires an average response time of 30 minutes (exponentially dis-tributed) from the staff person. Determine the portion of time the staff person is busy and how long a guest must wait for his or her request to be addressed. Does the house-keeping system seem adequate?

The Delacroix Inn in Alexandria is a small exclusive hotelwith 20 rooms. Guests can call housekeeping from 8:00 A.M.to midnight for any of their service needs. Housekeepingkeeps one person on duty during this time to respond to guest calls. Each room averages 0.7 call per day to house-keeping (Poisson distributed), and a guest request requires an average response time of 30 minutes (exponentially dis-tributed) from the staff person. Determine the portion of time the staff person is busy and how long a guest must wait for his or her request to be addressed. Does the house-keeping system seem adequate?

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 18P

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