Tema Tire Services (TTS) decided to hire a new mechanic to handle all tire changes for customers ordering a new set of tires. Two mechanics have been shortlisted for the job. One mechanic has limited experience, can be hired for GH¢14 per hour, and can service an average of three customers per hour. The other mechanic has several years of experience, can service an average of four customers per hour, but must be paid GH¢20 per hour. Historical data shows that customers arrive at the TTS garage at the rate of two customers per hour. b) If the company assigns a customer waiting cost of GH¢30 per hour, which mechanic provides the lower operating total cost (TC)

Tema Tire Services (TTS) decided to hire a new mechanic to handle all tire changes for customers ordering a new set of tires. Two mechanics have been shortlisted for the job. One mechanic has limited experience, can be hired for GH¢14 per hour, and can service an average of three customers per hour. The other mechanic has several years of experience, can service an average of four customers per hour, but must be paid GH¢20 per hour. Historical data shows that customers arrive at the TTS garage at the rate of two customers per hour. b) If the company assigns a customer waiting cost of GH¢30 per hour, which mechanic provides the lower operating total cost (TC)

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 30P

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TemaTire Services (TTS) decided to hire a new mechanic to handle all tire changes for customers ordering a new set of tires. Two mechanics have been shortlisted for the job. One mechanic has limited experience, can be hired for GH¢14 per hour, and can service an average of three customers per hour. The other mechanic has several years of experience, can service an average of four customers per hour, but must be paid GH¢20 per hour. Historical data shows that customers arrive at the TTS garage at the rate of twocustomers per hour. 5a)Assuming Poisson arrivals and exponential service times, compute the following for eachmechanic:(i).Average number of customers waiting(ii).Average number of customers in the system(iii).The average time spent in the queue(iv).The average time spent in the system(v).The probability that no queues would build up(vi).The probability that exactly two customers are waiting at any given time.(vii).The probability that up to two customers are waiting at any…
TemaTire Services (TTS) decided to hire a new mechanic to handle all tire changes for customers ordering a new set of tires. Two mechanics have been shortlisted for the job. One mechanic has limited experience, can be hired for GH¢14 per hour, and can service an average of three customers per hour. The other mechanic has several years of experience, can service an average of four customers per hour, but must be paid GH¢20 per hour. Historical data shows that customers arrive at the TTS garage at the rate of twocustomers per hour. 5a)Assuming Poisson arrivals and exponential service times, compute the following for eachmechanic:(i).Average number of customers waiting(ii).Average number of customers in the system(iii).The average time spent in the queue(iv).The average time spent in the system(v).The probability that no queues would build up(vi).The probability that exactly two customers are waiting at any given time.(vii).The probability that up to two customers are waiting at any…
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