hw8(2) - ORIE 4580/5580 Homework Assignment 8 Due by Nov....

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ORIE 4580/5580 Homework Assignment 8 Due by Nov. 4, 11:00 am, in the drop-box located on the second floor of Rhodes Hall. 1. Consider a two-server queueing system, where the customers arriving into the system join a single queue, wait for their turn, receive service from either one of the two servers and leave the system. The first server is faster than the second one. If an arriving customer finds both servers available, then it uses the first server. Otherwise, it simply uses whichever server is available. We are interested in simulating the behavior of this system with the intention of estimating the proportion of time that the first server is busy; the proportion of time that the second server is busy; and the proportion of time that there are one or more customers in the queue over the first 10 minutes. The interarrival times for the customers are exponentially distributed with mean 0.5 minutes. The service times at the first server are exponentially distributed with mean 0.8 minutes and the service times at the second server are exponentially distributed with mean 0.9 minutes. We assume that the queue can accommodate infinite number of customers and the system starts empty. a) Precisely describe the state of the system and the events that change the state of the
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hw8(2) - ORIE 4580/5580 Homework Assignment 8 Due by Nov....

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