A crew of mechanics at the PLUS Garage repair vehicles that break down at an average of 8 vehicles per day (approximately Poisson in nature). The mechanic crew can service an average of 11 vehicles per day with a repair time distribution that approximates an exponential distribution. The crew cost is approximately $300 per day. The cost associated with lost productivity from the breakdown is estimated at $150 per vehicle per day (or any fraction thereof). Evaluate this waiting line system, which is cheaper, the existing system with one service crew, or a revised system with two service crews?

A crew of mechanics at the PLUS Garage repair vehicles that break down at an average of 8 vehicles per day (approximately Poisson in nature). The mechanic crew can service an average of 11 vehicles per day with a repair time distribution that approximates an exponential distribution. The crew cost is approximately $300 per day. The cost associated with lost productivity from the breakdown is estimated at $150 per vehicle per day (or any fraction thereof). Evaluate this waiting line system, which is cheaper, the existing system with one service crew, or a revised system with two service crews?

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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