Operations and Supply Chain Management, 9th Edition WileyPLUS Registration Card + Loose-leaf Print Companion
Operations and Supply Chain Management, 9th Edition WileyPLUS Registration Card + Loose-leaf Print Companion
9th Edition
ISBN: 9781119371618
Author: Roberta S. Russell
Publisher: Wiley (WileyPLUS Products)
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Chapter 5, Problem 30P
Summary Introduction

To explain: Determine the average number of customers waiting for a cab, and the average waiting time.

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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.)
All trucks traveling on Interstate 40 between Albuquerque and Amarillo are required to stop at a weigh station. Trucks arrive at the weigh station at a rate of 120 per eight-hour day (Poisson distributed), and the station can weigh, on the average, 140 trucks per day (Poisson distributed). Suppose arriving truck drivers look to see how many trucks are waiting to be weighed at the weigh station. If they see four or more trucks in line, they will pass by the station and risk being caught and ticketed. What is the probability that a truck will pass by the station?
Speedy Oil provides a single-server automobile oil change and lubrication service. Customers provide an arrival rate of 2.5 cars per hour. The service rate is 5 cars per hour. Assume that arrivals follow a Poisson probability distribution and that service times follow an exponential probability distribution. What is the average number of cars in the system? What is the average time that a car waits for the oil and lubrication service to begin? What is the average time a car spends in the system? What is the probability that an arrival has to wait for service?

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Operations and Supply Chain Management, 9th Edition WileyPLUS Registration Card + Loose-leaf Print Companion

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