In the production shop of a company, the breakdown of the machines is found to be Poisson distributed with an average rate of 3 machines per hour. Breakdown time at one machine cost 400 birr per hour to the company. There are two choices before the company for hiring the repairmen. One of the repairmen is slow but cheap, the other is fast but expensive. The slow cheap repairman demands 200 birr per hour and will repair the broken down machines exponentially at the rate of 5 per hour. The fast expensive man demands 300 birr per hour and will repair machines exponentially at an average rate of 6 per hour. Which repairman should be hired?

In the production shop of a company, the breakdown of the machines is found to be Poisson distributed with an average rate of 3 machines per hour. Breakdown time at one machine cost 400 birr per hour to the company. There are two choices before the company for hiring the repairmen. One of the repairmen is slow but cheap, the other is fast but expensive. The slow cheap repairman demands 200 birr per hour and will repair the broken down machines exponentially at the rate of 5 per hour. The fast expensive man demands 300 birr per hour and will repair machines exponentially at an average rate of 6 per hour. Which repairman should be hired?

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 26P

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