A branch office of a large engineering firm has one on-line terminal connected to a central computersystem for 16 hours each day. Engineers drive to the branch office to use the terminal to make routinecalculations with an average exponential distribution of 30 minutes per use. The daily arrival pattern ofengineers is random (Poisson) with an average of 20 persons.The branch manager is starting to receive complaints from the engineers about the length of time manyof them have to wait to use the terminal.Question:1. What is and u measured in per hour intervals?2. On the average, how many minutes does each engineer have to wait?3. Using increments of 0.1 hours, what would be the least value of u so that the waiting time will benot exceed 30 minutes?

Given data is Working hours = 16 hours per day Arrival rate = 20 Working time = 30 mins per use

Answered: A branch office of a large engineering…

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 9P

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