Quick Lube Inc. operates a fast lube and oil change garage. On a typical day, customers arrive at the rate of three per hour and lube jobs are performed at an average rate of one every 15 minutes. The mechanics operate as a team on one car at a time. Assuming Poisson arrivals and exponential service, finda. Utilization of the lube team.b. The average number of cars in line.c. The average time a car waits before it is lubed.d. The total time it takes to go through the system (that is, waiting in line plus lube time).

Quick Lube Inc. operates a fast lube and oil change garage. On a typical day, customers arrive at the rate of three per hour and lube jobs are performed at an average rate of one every 15 minutes. The mechanics operate as a team on one car at a time. Assuming Poisson arrivals and exponential service, finda. Utilization of the lube team.b. The average number of cars in line.c. The average time a car waits before it is lubed.d. The total time it takes to go through the system (that is, waiting in line plus lube time).

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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