The Solomon, Smith, and Samson law firm produces manylegal documents that must be word processed for clients andthe firm. Requests average eight pages of documents perhour, and they arrive according to a Poisson distribution. Thesecretary can word process 10 pages per hour on average ac-cording to an exponential distribution.a. What is the average utilization rate of the secretary?b. What is the probability that more than four pages are wait-ing or being word processed?c. What is the average number of pages waiting to be wordprocessed?

The Solomon, Smith, and Samson law firm produces manylegal documents that must be word processed for clients andthe firm. Requests average eight pages of documents perhour, and they arrive according to a Poisson distribution. Thesecretary can word process 10 pages per hour on average ac-cording to an exponential distribution.a. What is the average utilization rate of the secretary?b. What is the probability that more than four pages are wait-ing or being word processed?c. What is the average number of pages waiting to be wordprocessed?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter12: Queueing Models

Section12.5: Analytic Steady-state Queueing Models

Problem 21P

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