Question

In: Operations Management

The College of Business and Public Administration at Benton University has a copy machine on each...

The College of Business and Public Administration at Benton University has a copy machine on each floor for faculty use. Heavy use of the five copy machines causes frequent failures. Maintenance records show that a machine fails every 2.5 days (or l = 0.40 failure/day). The college has a maintenance contract with the authorized dealer of the copy machines. Because the copy machines fail so frequently, the dealer has assigned one person to the college to repair them. The person can repair an average of 2.5 machines per day. Using the finite-source model, answer the following questions:

a. What is the average utilization of the maintenance person?

b. On average, how many copy machines are being repaired or waiting to be repaired?

c. What is the average time spent by a copy machine in the repair system (waiting and being repaired)?

d.Draw the decision tree.

Solutions

Expert Solution

In the finite source model of queuing, there is a finite population of customers.

Consider the following data:

(a)

Calculate the average utilization of the maintenance person as shown below:

Here,

Therefore, average utilization of the maintenance person is as follows:

Thus, the average utilization of the maintenance person is per day.

(b)

Calculate the number of copy machines being repaired, as shown below:

Thus, copy machines are being repaired.

Calculate the number of copy machines waiting to be repaired, as shown below:

Thus, copy machines are waiting to be repaired.

(c)

Calculate the average time being spent by a copy machine in the system (W), as shown below:

Thus, the average time being spent in the system is days.

Note : It's tough for me to draw decision tree in the given amount of time, so I request you to post that separately. Thanks for understanding.

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keosha answered 1 month ago

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