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- Question : EX1 - The following data yield the arrival times and service times that each customer will require, for the ?rst 13 customers at a single server system. Upon arrival, a customer either enters service if the server is free or joins the waiting line. When the server completes work on a customer, the next one in line (i.e., the one who has been waiting the longest) enters service. Arrival Times: 12 31 63 95 99 154 198 221 304 346 411 455 537 Service Times: 40 32 55 48 18 50 47 18 28 54 40 72 12 (a) Determine the departure times of these 13 customers. (b) Repeat (a) when there are two servers and a customer can be served by either one. (c) Repeat (a) under the new assumption that when the server completes a service, the next customer to enter service is the one who has been waiting the least time.
- Question : EX2 - Consider a service station where customers arrive and are served in their order of arrival. Let An, Sn, and Dn denote, respectively, the arrival time, the service time, and the departure time of customer n. Suppose there is a single server and that the system is initially empty of customers. (a) With D0 = 0, argue that for n > 0 Dn ? Sn = Maximum{An, Dn?1} (b) Determine the corresponding recursion formula when there are two servers. (c) Determine the corresponding recursion formula when there are k servers. (d) Write a computer program to determine the departure times as a function of the arrival and service times and use it to check your answers in parts (a)

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