Question

CPU-on-Demand (CPUD) offers real-time high-performance computing services. CPUD owns one supercomputer that can be accessed through the internet. Their customers send jobs that arrive on average every 5 hours. The standard deviation of the interarrival times is 7 hours. Executing each job takes on average 3 hours on the supercomputer. What is the utilization (as a percentage) of CPUD's supercomputer?

a) 43%
b) Can not be determined
c) 60%
d) 71%

Answer 1

The utilization of CPUD's supercomputer is found by dividing the average execution time for a job (3 hours) by the average interarrival time between jobs (5 hours) and then multiplying by 100% to get a percentage, which is 60% in this case.

Step-by-step explanation:

The question concerns the utilization of a supercomputer by CPU-on-Demand (CPUD), a company that provides high-performance computing services. Utilization, in this context, is calculated as the ratio of the time the supercomputer is actively processing jobs to the overall time available. To compute this, we take the average execution time for a job and divide by the average interarrival time between jobs. Here, the average execution time is given as 3 hours, and jobs arrive every 5 hours on average.

The utilization can be calculated as (Execution time / Interarrival time) * 100%. Plugging in the values gives us (3 hours / 5 hours) * 100% = 60%. So, the utilization of CPUD's supercomputer is 60%.