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Unformatted text preview: MIE360 Computer Modeling and Simulation Lecture Notes Daniel Frances 2009 1 Lecture 14. What is queuing theory? Suppose that you have 1. a line up of people waiting for the bank, a cashier, video store, the bank 2. fires waiting to be extinguished by a limited crew of firefighters 3. part waiting to be processed by a machine 4. a large number of machines waiting to be fixed by a limited repair crew inter-arrival distributions service distributions number of servers Because of the various types of Queuing Models a Kendall categorization system is widely used. It uses at least three letters to describe a queue. The first letter describes the inter-arrival distribution: M for the exponential D for deterministic G for general distribution The second letter describes the service time distribution M for the exponential D for deterministic G for general distribution The third letter gives the number of servers Using similar logic as described to derive the Poisson distribution we can derive formulas....
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- Fall '10