Homework 7
1.
Telephone calls arrive at a customer service desk according to a Poisson process with
mean rate 4 per hour. Assume that there is a single clerk answering all calls and it
takes on average 12 minutes to answer a call with a standard deviation of 12 minutes.
If the phone is in use, assume that callers will wait for their turn and not abandon the
system. Simulate this system (either using ARENA or by editing the MATLAB code
developed in class) assuming call answering times are exponentially distributed. Use
a warmup (or initialization) period of 1 hour and run the simulation for 8 more hours.
Then answer the following questions:
a.
Make 10 replications to determine a 99% confidence interval for the average
time each call spends in the system.
b.
For one replication, obtain eight samples of the total time in the system so that
each sample is taken during a period of 1 hour. Using batch means, obtain a
99% confidence interval for the average time each call spends in the system.
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 Spring '11
 gautam
 Poisson Distribution, Standard Deviation, Variance, Probability theory

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