A student computer laboratory has a single laser printer. Jobs queue up on the printer from thenetwork server in the lab and are completed on a first-come, first-served basis. The averageprinting job requires four minutes, but the times vary considerably. Experience has shown thatthe distribution of times closely follows an exponential distribution. At peak times, about 12students per hour require use of the printer, but the arrival of jobs to the printer can be assumed to occur completely at random.Assuming a peak traffic period, determine the following:a. The average number of jobs in the printer queue.b. The average flow time of a job.
A student computer laboratory has a single laser printer. Jobs queue up on the printer from thenetwork server in the lab and are completed on a first-come, first-served basis. The averageprinting job requires four minutes, but the times vary considerably. Experience has shown thatthe distribution of times closely follows an exponential distribution. At peak times, about 12students per hour require use of the printer, but the arrival of jobs to the printer can be assumed to occur completely at random.Assuming a peak traffic period, determine the following:a. The average number of jobs in the printer queue.b. The average flow time of a job.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter5: Network Models
Section: Chapter Questions
Problem 71P
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A student computer laboratory has a single laser printer. Jobs queue up on the printer from the
network server in the lab and are completed on a first-come, first-served basis. The average
printing job requires four minutes, but the times vary considerably. Experience has shown that
the distribution of times closely follows an exponential distribution. At peak times, about 12
students per hour require use of the printer, but the arrival of jobs to the printer can be assumed to occur completely at random.
Assuming a peak traffic period, determine the following:
a. The average number of jobs in the printer queue.
b. The average flow time of a job.
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