10SimHw7 - IEOR 4404 Simulation Prof. Mariana...

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IEOR 4404 Assignment #7 Simulation March 11, 2010 Prof. Mariana Olvera-Cravioto Page 1 of 2 Assignment #7 – due March 26th, 2010 1. Messages arrive at a communication facility in accordance with a Poisson process having a rate of 2/hour. The facility consists of three channels, and an arriving message will either go to a free channel if any of them are free or else will be lost if all channels are busy. The amount of time that a message ties up a channel is a random variable that depends on the weather condition at the time the message arrives. Specifically, if the message arrives when the weather is “good”, then its processing time is a random variable having distribution function F ( x ) = x, 0 < x < 1 whereas if the weather is “bad” when a message arrives, then its processing time has distri- bution F ( x ) = x 3 , 0 < x < 1 Initially, the weather is good, and it alternates between good and bad periods—with the good periods having fixed lengths of 2 hours and the bad periods having fixed lengths of 1 hour. (Thus, for example, at time 5 the weather changes from good to bad.)
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This note was uploaded on 11/17/2010 for the course IEOR IEOR 4404 taught by Professor C during the Spring '10 term at Columbia.

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10SimHw7 - IEOR 4404 Simulation Prof. Mariana...

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