A probabilistic approach for the analysis of the $$M_n/G/1$$ M n / G / 1 queue

Antonis Economou () and Athanasia Manou ()
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Antonis Economou: University of Athens
Athanasia Manou: University of Athens

Annals of Operations Research, 2022, vol. 317, issue 1, No 3, 19-27

Abstract: Abstract 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), 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.

Keywords: M/G/1 queue; Single server queue; State-dependent arrival rate; Balking; Conditional sojourn time distribution; Equilibrium distribution (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s10479-015-1943-0

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