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 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. on Round your answer to 1 decimal place.) How long does a customer have to wait tohave a job complete1.3 our

Explanation / Answer

Processing time = p = 3 hours, Interarrival time =a=6 hours

Standard deviation of p = 4 hours, Standard deviation of a = 4 hours,

Utilization = Flow rate / capacity = p/a= 3/6 = 0.5

Time in Queue (wait time) = Activity time * (Utilization/(1-Utilization))* (Standard deviation of "a"^2+Standard deviation of "p"^2)/2

= 3*1*16 = 48 hours

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