Jobs arrive to a computer system (consisting of a CPU and an I/O device) according to a Poisson process with rate 8 jobs per minute. Once in the system, a job requires on average 30 seconds of CPU time and six seconds of I/O time, in which the CPU and I/O time required by the jobs are exponentially distributed. i) What is the probability that a job will have to wait before being processed by the devices? (Hint: replace the CPU and I/O subsystem by an equivalent single server) ii) What proportion of time is the system busy iii) On average, how many jobs are waiting in line to be processed?

Jobs arrive to a computer system (consisting of a CPU and an I/O device) according to a Poisson process with rate 8 jobs per minute. Once in the system, a job requires on average 30 seconds of CPU time and six seconds of I/O time, in which the CPU and I/O time required by the jobs are exponentially distributed. i) What is the probability that a job will have to wait before being processed by the devices? (Hint: replace the CPU and I/O subsystem by an equivalent single server) ii) What proportion of time is the system busy iii) On average, how many jobs are waiting in line to be processed?

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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