Suppose that you observe a sequence of interarrivaltimes, such as 1.2, 3.7, 4.2, 0.5, 8.2, 3.1, 1.7, 4.2, 0.7,0.3, and 2.0. For example, 4.2 is the time betweenthe arrivals of customers 2 and 3. If you averagethese, what parameter of the MyMys model are youestimating? Use these numbers to estimate the arrivalrate l. If instead these numbers were observed servicetimes, what would their average be an estimate of, andwhat would the corresponding estimate of µ be?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Suppose that you observe a sequence of interarrival
times, such as 1.2, 3.7, 4.2, 0.5, 8.2, 3.1, 1.7, 4.2, 0.7,
0.3, and 2.0. For example, 4.2 is the time between
the arrivals of customers 2 and 3. If you average
these, what parameter of the MyMys model are you
estimating? Use these numbers to estimate the arrival
rate l. If instead these numbers were observed service
times, what would their average be an estimate of, and
what would the corresponding estimate of µ be?

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