A TIME-DEPENDENT STUDY OF THE KNOCKOUT QUEUE
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Published:2013-03-28
Issue:3
Volume:27
Page:309-317
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ISSN:0269-9648
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Container-title:Probability in the Engineering and Informational Sciences
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language:en
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Short-container-title:Prob. Eng. Inf. Sci.
Abstract
We examine the time-dependent behavior of a birth–death process, whose birth rates and death rates are decreasing and increasing, respectively, with respect to the current state. Such models can be used to describe Markovian queueing systems with exponential reneging, where potential arrivals balk with a certain probability that depends on the number of customers observed upon arrival. Our results are derived by interpreting the birth–death process as the queue-length process of what we refer to as the “knockout queue.”
Publisher
Cambridge University Press (CUP)
Subject
Industrial and Manufacturing Engineering,Management Science and Operations Research,Statistics, Probability and Uncertainty,Statistics and Probability
Reference15 articles.
1. Fralix B.H. , van Leeuwaarden J.S.H. , & Boxma O.J. (2012). Factorization Identites for a general class of reflected processes. Available from http://www.eurandom.nl/reports/2011/024-report.pdf.
2. On the time-dependent moments of Markovian queues with reneging;Fralix;Queueing Systems,2012