A probabilistic approach for the analysis of the queue

The performance analysis of the classical M / G / 1 queue, under a general mixed joining/balking strategy was carried out recently by Kerner (Stoch Mod 24:364-375, 2008 (See CR6)), who used an analytic approach based on the supplementary variable method. The tractability of the corresponding queuein...

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Bibliographic Details
Published in:Annals of operations research 2022-10, Vol.317 (1), p.19
Main Authors: Economou, Antonis, Manou, Athanasia
Format: Article
Language:English
Subjects:
Distribution (Probability theory)
Queuing theory
Online Access:Get full text
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Summary:The performance analysis of the classical M / G / 1 queue, under a general mixed joining/balking strategy was carried out recently by Kerner (Stoch Mod 24:364-375, 2008 (See CR6)), who used an analytic approach based on the supplementary variable method. The tractability of the corresponding queueing system with state-dependent arrival rates is particularly significant, as it has important applications in situations where the customers are strategic. In this paper, we present an alternative path for the analysis of the same system, using purely probabilistic arguments.
ISSN:0254-5330
DOI:10.1007/s10479-015-1943-0