MyLab Operations Management with Pearson eText -- Access Card -- for Operations Management: Processes and Supply Chains
11th Edition
ISBN: 9780133885583
Author: Lee J. Krajewski, Manoj K. Malhotra, Larry P. Ritzman
Publisher: PEARSON
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Chapter B, Problem 10P
A
Summary Introduction
To determine: The service rate in the service system
Introduction: Waiting line model is used to calculate the performance. The probability in a waiting line requires to wait for service.
B
Summary Introduction
To determine: The probability in the waiting line and being served
Introduction: Waiting line model is used to calculate the performance. The probability in a waiting line requires to wait for service.
C
Summary Introduction
To determine: Average waiting time in the line for each customer.
Introduction: Waiting line model is used to calculate the performance. The probability in a waiting line requires to wait for service.
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The daughter of the owner of a local hamburger restaurant is preparing to open a new fast-food restaurant called Hasty Burgers. Based on the arrival rates at her father’s outlets, she expects customers to arrive at the drive-up window according to a Poisson distribution, with a mean of 20 customers per hour. The service rate is flexible; however, the service times are expected to follow an exponential distribution. The drive-in window is a single-server operation.a. What service rate is needed to keep the average number of customers in the service system (waiting line and being served) to four?b. For the service rate in part (a), what is the probability that more than four customers are in line and being served?c. For the service rate in part (a), what is the average waiting time in line for each customer? Does this average seem satisfactory for a fast-food business?
Tony’s Barbershop is run, owned, and operated by Anthony Jones, who has been cutting hairfor more than 20 years. Anthony does not take appointments, so the arrival pattern of customers is essentially random. Traditionally, the arrival rate had been about one customer every50 minutes. Two months ago, the local paper ran an article about Anthony that improved business substantially. Currently, the arrival rate is closer to one customer every 35 minutes. Haircutsrequire an average of 25 minutes, but the times vary considerably depending on customerneeds. A trim might require as little as 5 minutes, but a shampoo and styling could take as longas an hour or more. For this reason, the exponential distribution seems to provide a reasonablygood fit of the service time distribution.Anthony’s customers have always been patient, but ever since business picked up, somehave complained that the wait is too long. Anthony is considering taking his cousin Marvin intothe business to improve customer…
The exponential distribution is often used to model what in a queuing system?
Chapter B Solutions
MyLab Operations Management with Pearson eText -- Access Card -- for Operations Management: Processes and Supply Chains
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