Repair calls are handled by one repairman at a photocopy shop. Repair time, including traveltime, is exponentially distributed, with a mean of two hours per call. Requests for copierrepairs come in at a mean rate of three per eight-hour day (assume Poisson).A) Identify the Queuing Model and sketch the system.B) What is the arrival rate?C) What is the service rate?D) What is the average number of customers awaiting repairs?

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Asked Feb 26, 2019
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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).
A) Identify the Queuing Model and sketch the system.
B) What is the arrival rate?
C) What is the service rate?
D) What is the average number of customers awaiting repairs?

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Step 1

A)

Identify the queueing model:

The queueing model identified using the given situation is M/M/1 queueing model.

The following figure shows the system sketch of M/M/1 queueing model:

 

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Step 2

B)

Determine the arrival rate:

Arrival rate is given as two hours per call.

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Step 3

C)

Determine the service rate:

Service rate is calculated by divi...

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