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A radio repairer notes that the time he spends on his job has an exponential distribution with a mean of 4 minutes. He follows the first come first serve principle. The arrival time of clients takes a Poisson distribution with an average rate of 8 clients every 1 hour.Determine the arrival rate  value , service rate value to be used,time taken by aclient waiting in the queue Determine the client’s average waiting time in the system and Compute the probability that the system is idle; P (idle)

A radio repairer notes that the time he spends on his job has an exponential distribution with a mean of 4 minutes. He follows the first come first serve principle. The arrival time of clients takes a Poisson distribution with an average rate of 8 clients every 1 hour.Determine the arrival rate  value , service rate value to be used,time taken by aclient waiting in the queue Determine the client’s average waiting time in the system and Compute the probability that the system is idle; P (idle)

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
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A radio repairer notes that the time he spends on his job has an exponential distribution with a mean of 4 minutes. He follows the first come first serve principle. The arrival time of clients takes a Poisson distribution with an average rate of 8 clients every 1 hour.Determine the arrival rate  value , service rate value to be used,time taken by aclient waiting in the queue

Determine the client’s average waiting time in the system and Compute the probability that the system is idle; P (idle)

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