Answered: A system that is idle 50% of the time…

A system that is idle 50% of the time serves customers arriving at a rate of 10 an hour. Assuming this system fits the description of M/M/1, what is the average length of this service?

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 17P

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Forecasting is a methodology that uses historical data as inputs to make well-informed predictions about the course of future trends. Forecasting is the method of making forecasts based on historical and current data, most commonly by trend analysis. In the business world, forecasting is a basic statistical task. Forecasting is used by businesses to decide how to allocate their budgets or prepare for expected expenditures in the future. Forecasts help managers formulate and execute production plans by providing forecasts. The primary goal of forecasting is to make accurate predictions.

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A system that is idle 50% of the time serves customers arriving at a rate of 10
an hour. Assuming this system fits the description of M/M/1, what is the average
length of this service?

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