CPU-on-Demand (CPUD) offers real-time high-performance computing services. CPUD

Question

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 3 hours. Executing each job takes on average 2 hours on the supercomputer. What is the utilization (as a percent) of CPUD’s supercomputer? 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 3 hours. Executing each job takes on average 2 hours on the supercomputer. What is the utilization (as a percent) of CPUD’s supercomputer?

Explanation / Answer

Arrival Rate = 1/Time between each jobs = 1/6

Service Rate = 1/Time Taken to serve one job = 1/2

Utilzation = Arrival Rate/Service Rate = (1/6)/(1/2) = 0.3333 = 33.33%

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