Jobs arrive at a single-CPU computer facility with interarrival times that are IID exponential random variables with mean 1 minute. Each job specifies upon its arrival the maximum amount of processing time it requires, and the maximum times for successive jobs are IID exponential random variables with mean 1.1 minutes. However, if m is the specified maximum processing time for a particular job, the actual processing time is distributed uniformly between 0.55m and 1.05m. The CPU will never process a job for more than its specified maximum; a job whose required processing time exceeds its specified maximum leaves the facility without completing service. Simulate the computer facility until 1000 jobs have left the CPU if (a) jobs in the queue are processed in a FIFO manner, and (b) jobs in the queue are ranked in increasing order of their specified maximum processing time. For each case, compute the average and maximum delay in queue of jobs, the proportion of jobs that are delayed in queue more than 5 minutes, and the maximum number of jobs ever in queue. Use stream 1 for the interarrival times, stream 2 for the maximum processing times, and stream 3 for the actual processing times. Which operating policy would you recommend?
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