PA 16-8 CPU-on-Demand (CPUD) offers real-time... CPU-on-Demand (CPUD) offers rea

Question

PA 16-8 CPU-on-Demand (CPUD) offers real-time... CPU-on-Demand (CPUD) offers real-time high-performance computing services. CPUD owns 1 supercomputer that can be accessed through the Internet. Their customers send jobs that arrive on average every 6 hours. The standard deviation of the interarrival times is 4 hours. Executing each job takes on average 3 hours on the supercomputer and the standard deviation of the processing time is 4 hours. Round your answer to 1 decimal place.) How long does a customer have to wait to have à'job completed? -............7.6 hours

Explanation / Answer

Time in queue = Processing Time * (/1-)*((CVa2+CVp2)/2)

where = utilization = Processing Time/Arrival time = 3/6 = 0.5

CVa = Coefficient of variation of arrival time = Standard deviation/mean = 4/6 = 2/3.

CVp = Coefficient of variation of proccessing time = Standard deviation/mean = 4/3

Time in queue = 3*(0.5/1-0.5)*((2/3)2+(4/3)2)/2) = 3.33 hours

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