l4.5 exercises

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Transcript l4.5 exercises

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DSES - 6620 Simulation Modeling And Analysis
L4.5 Exercises
Kevin Lewelling
February 13, 2002
1. Customers arrive at the Lake Gardens post ofice for buying stamps, mailing letters and packages,
and so forth. The interarrival time is exponentially distributed with a mean of 2 minutes. The time
to process each customer is normally distributed with a mean of 10 minutes and a standard deviation
of 2 minutes.
How many postal clerks are needed at the counter so that there are no more than 15 customers
waiting in the post office at any time? Make a time series plot of the number of customers in the post
office in a typical eight-hour day. Change the number of postal clerks until you find the optimum
number.
Five postal clerks are required so that there are no more than 15 customers waiting in the post
office at a time.
2. The Lake Gardens postmaster in Exercise 1 wants to serve his customers well. He wold like to see
that no postal customer has to wait more than 15 minutes a the post office. Make a graph for the
content histogram for the cycle time in the system.
3. For the example in Lab 3, Section L3.3, find out the percentage of time the splitter and the lathe
are idle. Make a state graph and a pie graph for these locations.
Splitter - 5.33%
Lathe - 16.76%
4. For the example in Lab3, Section L3.2, plot the time painted logs spend in the manufacturing
facility. Also, plot the number of painted logs produced.