Operations Management
13th Edition
ISBN: 9781259667473
Author: William J Stevenson
Publisher: McGraw-Hill Education
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Question
Chapter 18, Problem 4P
a)
Summary Introduction
To determine: The average time callers wait to have their calls answered for each period and the probability that a caller will have to wait for each period
Queuing theory: It is a mathematical study of queues or waiting lines. Using queuing model, length of a queue and waiting time can be determined. In operations management, queuing theory is used for decision making about the resources required to offer services.
b.
Summary Introduction
To determine: The maximum line length for a probability of 96 percent.
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Students have asked these similar questions
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?
Answer the following questions. Answers are listed at the end of this section.1. The queuing models assume that customers are served in what order?2. Consider two identical queuing systems except for the service time distribution. In the first system, the service time is random and Poisson distributed. The service time is constant in the second system. How would the waiting time differ in the two systems?3. What is the average utilization of the servers in a system that has three servers? On average, 15 customers arrive every 15 minutes. It takes a server exactly three minutes to wait on each customer.4. What is the expected waiting time for the system described in question 3?5. Firms that desire high service levels where customers have short wait times should target server utilization levels at no more than this percentage.
Quick Oil provides a single-channel automobile oil change and lubrication service.Customers provide an arrival rate of 4 cars per hour. The service rate is 5 cars perhour. Assume that arrivals follow a Poisson probability distribution and that servicetimes follow an exponential probability distribution.
a. What is the average number of cars in the system?
b. What is the average time that a car waits for the oil and lubrication serviceto begin?
c. What is the probability that an arrival has to wait for service?
*Please solve for a-c typing or neatly writing all your work/steps and answers on paper, NO EXCEL* thank you !
Chapter 18 Solutions
Operations Management
Ch. 18 - Prob. 1DRQCh. 18 - Why do waiting lines form even though a service...Ch. 18 - Prob. 3DRQCh. 18 - Prob. 4DRQCh. 18 - What approaches do supermarkets use to offset...Ch. 18 - Prob. 6DRQCh. 18 - Prob. 7DRQCh. 18 - Prob. 8DRQCh. 18 - Prob. 9DRQCh. 18 - Prob. 1TS
Ch. 18 - Prob. 2TSCh. 18 - Prob. 3TSCh. 18 - Prob. 1CTECh. 18 - Prob. 2CTECh. 18 - Prob. 3CTECh. 18 - The owner of Eat Now Restaurant implemented an...Ch. 18 - Prob. 5CTECh. 18 - Prob. 1PCh. 18 - Prob. 2PCh. 18 - Prob. 3PCh. 18 - Prob. 4PCh. 18 - Prob. 5PCh. 18 - Prob. 6PCh. 18 - Prob. 7PCh. 18 - Prob. 8PCh. 18 - Prob. 9PCh. 18 - Prob. 10PCh. 18 - Prob. 11PCh. 18 - Prob. 12PCh. 18 - Prob. 13PCh. 18 - Prob. 14PCh. 18 - Prob. 15PCh. 18 - A priority waiting system assigns arriving...Ch. 18 - Prob. 17PCh. 18 - Prob. 18PCh. 18 - Prob. 1CQ
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