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A manager is considering making changes to a single-server system. Suppose the current system has an arrival rate of 8 customers per hour and tends to be Poisson-distribution. The service rate of 10 customers per hour follows an exponential distribution. a. Find system utilization and the average number of customers waiting. b. What is the probability that a customer will not have to wait upon arriving? c. If the service rate is doubled, what impact will that have on the average number waiting in line?

A manager is considering making changes to a single-server system. Suppose the current system has an arrival rate of 8 customers per hour and tends to be Poisson-distribution. The service rate of 10 customers per hour follows an exponential distribution. a. Find system utilization and the average number of customers waiting. b. What is the probability that a customer will not have to wait upon arriving? c. If the service rate is doubled, what impact will that have on the average number waiting in line?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A manager is considering making changes to a single-server system. Suppose the current system has an arrival rate of 8 customers per hour and tends to be Poisson-distribution. The service rate of 10 customers per hour follows an exponential distribution. a. Find system utilization and the average number of customers waiting. b. What is the probability that a customer will not have to wait upon arriving? c. If the service rate is doubled, what impact will that have on the average number waiting in line? d. How can the manager maintain the system utilization same as the original rate after the service rate is doubled? e. What are managerial implications of your analysis?
Transcribed Image Text:A manager is considering making changes to a single-server system. Suppose the current system has an arrival rate of 8 customers per hour and tends to be Poisson-distribution. The service rate of 10 customers per hour follows an exponential distribution. a. Find system utilization and the average number of customers waiting. b. What is the probability that a customer will not have to wait upon arriving? c. If the service rate is doubled, what impact will that have on the average number waiting in line? d. How can the manager maintain the system utilization same as the original rate after the service rate is doubled? e. What are managerial implications of your analysis?
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