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 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