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Queuing Models

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Manish Verma

4QC3Winter 2014 Examples on Queuing ModelsExample 1015 A university cafeteria line in the student center is a selfserve facility in which students select the food items they want and then form a single line to pay the cashier Students arrive at a rate of about four per minutes according to a Poisson distributionThe single cashier ringing up salestakes about 12 seconds per customer following an exponential distributiona What is the probability that there are more than two students in the system More than threestudents More than fourbWhat is the probability that the system is emptycHow long will the average student have to wait before reaching the cashierdWhat is the expected number of students in the queueeWhat is the average number in the systemf If a second cashier is added who works at the same pace how will the operating characteristics computed above will change Assume that customers wait in a single line andgo to the first available cashierExample 1018 Sals Barbershop is a popular haircutting and styling salon near the campus of the University of New Brunswick Four barbers work fulltime and spend an average of 15 minutes on each customer Customers arrive all day long at an average rate of 12 per hour When they enter they take a number and wait for the first av
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