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An office employs several clerks who originate documents and one operator who enters the document information in a word processor processor. The group originates documents at a rate of 25 per hour. The operator can enter the information with average exponentially distributed time of two minutes. Assume the population is infinite, arrivals are Poisson, and queue length is infinite with FCFS. a. Calculate the percentage utilization of the operator. b. Calculate the average number of documents in the system. C. Calculate the average time in the system. d. Calculate the probability of four or more documents being in the system. If another clerk were added, the document origination rate would increase to 30 per hour. What would 5. e. this do to the word processor workload? 6.

An office employs several clerks who originate documents and one operator who enters the document information in a word processor processor. The group originates documents at a rate of 25 per hour. The operator can enter the information with average exponentially distributed time of two minutes. Assume the population is infinite, arrivals are Poisson, and queue length is infinite with FCFS. a. Calculate the percentage utilization of the operator. b. Calculate the average number of documents in the system. C. Calculate the average time in the system. d. Calculate the probability of four or more documents being in the system. If another clerk were added, the document origination rate would increase to 30 per hour. What would 5. e. this do to the word processor workload? 6.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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An office employs several clerks who originate documents and one operator who enters the document information in a word processor processor. The group originates documents at a rate of 25 per hour. The operator can enter the information with average exponentially distributed time of two minutes. Assume the population is infinite, arrivals are Poisson, and queue length is infinite with FCFS. a. Calculate the percentage utilization of the operator. b. Calculate the average number of documents in the system. C. Calculate the average time in the system. d. Calculate the probability of four or more documents being in the system. If another clerk were added, the document origination rate would increase to 30 per hour. What would 5. e. this do to the word processor workload? 6.
Transcribed Image Text:An office employs several clerks who originate documents and one operator who enters the document information in a word processor processor. The group originates documents at a rate of 25 per hour. The operator can enter the information with average exponentially distributed time of two minutes. Assume the population is infinite, arrivals are Poisson, and queue length is infinite with FCFS. a. Calculate the percentage utilization of the operator. b. Calculate the average number of documents in the system. C. Calculate the average time in the system. d. Calculate the probability of four or more documents being in the system. If another clerk were added, the document origination rate would increase to 30 per hour. What would 5. e. this do to the word processor workload? 6.
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