Repair calls are handled by one repairman at a photocopy shop. Repair time, including travel time, is exponentially distributed, with a mean of 2.5 hours per call. Requests for copier repairs come in at a mean rate of 2.1 per eight-hour day (assume Poisson).    a. Determine the average number of customers awaiting repairs. (Round your answer to 2 decimal places.)     Number of customers                              b. Determine system utilization. (Round your answer to the nearest whole percent. Omit the "%" sign in your response.)     System utilization               %     c. Determine the amount of time during an eight-hour day that the repairman is not out on a call. (Use your rounded answer from Part b. Round your answer to 2 decimal places.)     Amount of time                                  hours     d. Determine the probability of two or more customers in the system. (Do not round intermediate calculations. Round your answer to 4 decimal places.)     Probability     ________

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
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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 2.5 hours per call. Requests for copier repairs come in at a mean rate of 2.1 per eight-hour day (assume Poisson). 

 

a.

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


 

  Number of customers                           


 

b.

Determine system utilization. (Round your answer to the nearest whole percent. Omit the "%" sign in your response.)


 

  System utilization               %  


 

c.

Determine the amount of time during an eight-hour day that the repairman is not out on a call. (Use your rounded answer from Part b. Round your answer to 2 decimal places.)


 

  Amount of time                                  hours  


 

d.

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


 

  Probability     ________
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