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A NEW LOOK ON THE SHORTEST QUEUE SYSTEM WITH JOCKEYING

Published online by Cambridge University Press:  23 December 2019

Rachel Ravid Open the ORCID record for Rachel Ravid [Opens in a new window]
Rachel Ravid*
Affiliation:
ORT Braude College, Karmiel 2161002, Israel E-mail: rachelr3@braude.ac.il
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Abstract

We introduce a Markov queueing system with Poisson arrivals, exponential services, and jockeying between two parallel and equivalent servers. An arriving customer admits to the shortest line. Every transition, of only the last customer in line, from the longer line to the shorter line may accompanied by a certain fixed cost. Thus, a transition from the longer queue to the shorter queue occurs whenever the difference between the lines reaches a certain discrete threshold (d = 2, 3, …). In this study, we focus on the stochastic analysis of the number of transitions of an arbitrary customer.

Keywords

queueing theory
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 35 , Issue 3 , July 2021 , pp. 557 - 564
Copyright
© Cambridge University Press 2019

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