Unformatted text preview: IOE 543 HW #8 (Due at beginning of class Thursday, April 8, 2010) 1.
4. Problem 9.5. Assume that the two machines are in parallel. Problem 10.5 Problem 10.7 Consider a single machine subject to Poisson arrivals of jobs. The jobs arrive with a rate of 0.65 per hour. The processing time of a job has a mean of half an hour and a standard deviation of 10 minutes. (a) What is the average waiting time in queue of a job? (b) What is the expected length of time between two idle periods? (Hint: Recall that, for a random variable X, Var(X) = E(X2) –E(X)2.) 5. Assume that the jobs in problem 4 are divided into two priority classes. The first priority class is serviced before jobs in the second priority class. If a class 2 job is in service, it is *not* preempted to service a class 1 customer. a. What arrival rate of class 1 customers will cause the expected waiting time in queue of a class 1 job to be 6 minutes? b. Given the answer to part (a), what would be the expected waiting time in queue for a class 2 job? ...
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