Operations Management: Processes and Supply Chains (11th Edition)
11th Edition
ISBN: 9780133872132
Author: Lee J. Krajewski, Manoj K. Malhotra, Larry P. Ritzman
Publisher: PEARSON
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Chapter B, Problem 3P
A
Summary Introduction
To determine: The average utilization rate of the secretary is,
Introduction: Utilization rate is average the time spend by a person in productivity activity. It is calculated as percentage.
B
Summary Introduction
To determine: The probability for the page waiting or processed.
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: The average number of pages is to be processed.
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 Solomon, Smith, and Samson law firm produces manylegal documents that must be word processed for clients andthe firm. Requests average eight pages of documents perhour, and they arrive according to a Poisson distribution. Thesecretary can word process 10 pages per hour on average ac-cording to an exponential distribution.a. What is the average utilization rate of the secretary?b. What is the probability that more than four pages are wait-ing or being word processed?c. What is the average number of pages waiting to be wordprocessed?
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A large insurance company maintains a central computing system that contains a variety of information about customer accounts. Insurance agents in a six-state area use telephone lines to access the customer information database. Currently, the company's central computer system allows three users to access the central computer simultaneously. Agents who attempt to use the system when it is full are denied access; no waiting is allowed.
Management realizes that with its expanding business, more requests will be made to the central information system. Being denied access to the system is inefficient as well as annoying for agents. Access requests follow a Poisson probability distribution, with a mean of 35 calls per hour. The service rate per line is 19 calls per hour.
(a)
What is the probability that 0, 1, 2, and 3 access lines will be in use? (Round your answers to four decimal places.)
P(0)=P(1)=P(2)=P(3)=
(b)
What is the probability that an agent will be denied access to the…
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Operations Management: Processes and Supply Chains (11th Edition)
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