On the Timing of the Peak Mean and Variance for the Number of Customers in an M(t)/M(t)/1 Queueing System
Name
OR-301-94.pdf
Size
826.35 KB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Malone, Kerry M.
Ingolfsson, Armann
Date Issued
July 1994
Publisher
Massachusetts Institute of Technology, Operations Research Center
Series/Report no.
Operations Research Center Working Paper;OR 301-94
Abstract
This paper examines the time lag between the peak in the arrival rate and the peaks in the mean and variance for the number of customers in an M(t)/M(t)/1l system. We establish a necessary condition for the time at which the peak in the mean is achieved. In cases in which system utilization exceeds one during some period, we show that the peak in the mean occurs after the end of this period.
Description
Revised October 1994
Subjects
Queues, Nonstationary: Timing of the Peak Mean and Variance;
MIT Department
Massachusetts Institute of Technology. Operations Research Center
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