Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed, with a mean of two hours per call. Requests for copier repairs come in at a mean rate of three per eight-hour day (assume Poisson). Determine the following: a. The average number of customers awaiting repairs. (Round your answer to 2 decimal places.) b. System utilization. Percentage c. The amount of time during an eight-hour day that the repairman is not out on a call. d. The probability of two or more customers in the system. (Do not round intermediate calculations. Round your answer to 4 decimal places.)

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section12.5: Analytic Steady-state Queueing Models
Problem 18P
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Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed, with a mean of two hours per call. Requests for copier repairs come in at a mean rate of three per eight-hour day (assume Poisson). Determine the following:

a. The average number of customers awaiting repairs. (Round your answer to 2 decimal places.)

b. System utilization. Percentage

c. The amount of time during an eight-hour day that the repairman is not out on a call.

d. The probability of two or more customers in the system. (Do not round intermediate calculations. Round your answer to 4 decimal places.)

 

 

  ( please give deeply eplaination with stepwise answer)

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