Plesase use Single Server Model and Multiple Server Model to solve this question. Drivers working for a large transportation company must get their vehicles checked from the company’s workshop after every 3,000 km. For this service, the average vehicle arrival rate at the workshop is 3.5 vehicles per hour (Poisson distributed). Currently there is only one mechanic serving a vehicle in 15 minutes on average and being paid $30 per hour. For every hour a vehicle is not working, the company loses $35. The company has an option to hire more mechanics. What is the most cost-efficient workshop staffing for this service? (Please also give the details for L and M.)
Plesase use Single Server Model and Multiple Server Model to solve this question. Drivers working for a large transportation company must get their vehicles checked from the company’s workshop after every 3,000 km. For this service, the average vehicle arrival rate at the workshop is 3.5 vehicles per hour (Poisson distributed). Currently there is only one mechanic serving a vehicle in 15 minutes on average and being paid $30 per hour. For every hour a vehicle is not working, the company loses $35. The company has an option to hire more mechanics. What is the most cost-efficient workshop staffing for this service? (Please also give the details for L and M.)
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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Plesase use Single Server Model and Multiple Server Model to solve this question.
Drivers working for a large transportation company must get their vehicles checked from the company’s workshop after every 3,000 km. For this service, the average vehicle arrival rate at the workshop is 3.5 vehicles per hour (Poisson distributed). Currently there is only one mechanic serving a vehicle in 15 minutes on average and being paid $30 per hour. For every hour a vehicle is not working, the company loses $35. The company has an option to hire more mechanics.
What is the most cost-efficient workshop staffing for this service? (Please also give the details for L and M.)
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