MIE360 Computer Modeling and Simulation
Lecture Notes
Daniel Frances © 2010
1
MIE360 Lecture 5. Generating Random Events (and other random variates)
We are almost ready to run a handsimulation of the small store to find out, for example, what is the
expected % of idle time you will be able to enjoy?
But we have yet to figure out how to initialize and update the Event List.
First some terminology:
•
Random variable – a variable  x  that can take on a value with probability described by a pdf(x),
e.g. the time to serve a customer, the time between arrivals
•
Random variate – a specific value – X  of the random variable x with pdf(x), X= 2:16
There are two possible events Arrivals and Departures.
Generating Random Departures
Generally there is some type of probability distribution for the time to service a customer – the service
time. Thus, by generating a random service time, just after a departure when the next customer starts
receiving service, then we will know the time of the departure of that customer.
Suppose
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 Fall '10
 D.Frances
 Normal Distribution, Probability distribution, Cumulative distribution function, Daniel Frances

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