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# hw9 - CS112 Homework#9 YOU DO NOT NEED TO TURN THIS IN 1 A...

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CS112 - Homework#9 YOU DO NOT NEED TO TURN THIS IN 1. A service center consists of two servers, each working at an exponential rate of two services per hour. If customers arrive ar a Poisson rate of three per hour, then assuming a system capacity of at most three customers (a) What fraction of potential customers enter the system? (b) What would the value of part (a) be if there was only a single server, and the service rate was twice as fast? (4 services per hour) 2. Customers arrive at a single-server facility at a Poisson rate of λ . When two or fewer customers are present, a single attendant operates the facility, and the service time for each customer is exponentially distributed with a mean of 1 μ . However, when there are three or more customers at the facility, the attendant is joined by an assistant and, working together, they reduce the mean service time to 1 2 μ . Assume a system capacity of four customers.

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