ESE503 - Simulation Modeling & Analysis (Homework #7)
Spring Semester, 2021 M. Carchidi
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Problem #1 (20 points) - A Single-Channel Queue
A small copy center contains a single copy machine located behind a counter. Customers
come to the counter and hand an attendant behind the c
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ESE503 - Simulation Modeling & Analysis (Homework #7)

Spring Semester, 2021 M. Carchidi

———————————————————————————————————————

Problem #1 (20 points) - A Single-Channel Queue

A small copy center contains a single copy machine located behind a counter. Customers

come to the counter and hand an attendant behind the counter the originals. The attendant

takes the originals, makes the copies and hands the originals along with the copies back to

the customer and then this same attendant writes up the bill, presents it to the customer

and accepts payment. Suppose that the time for making the copies (copy time) is

exponentially distributed with a mean of 8 minutes and suppose that the time to write up

the bill, present it to the customer and accept payment (checkout time) is also

exponentially distributed with a mean of 2 minutes. Suppose also that on the average one

customer arrives into the copy center every 12 minutes according to a Poisson process.

a.) (4 points) Identify the type of queue involved in this problem and compute the value of

the steady-state parameter , showing that 1. You may assume that the copy time and

checkout time distributions are independent.

b.) (8 points) Compute in the long term, the average number of customers waiting in line.

c.) (8 points) Compute in th

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