The state-dependent M / G / 1 queue with orbit

Opher Baron (), Antonis Economou () and Athanasia Manou ()
Additional contact information
Opher Baron: University of Toronto
Antonis Economou: National and Kapodistrian University of Athens
Athanasia Manou: Koç University

Queueing Systems: Theory and Applications, 2018, vol. 90, issue 1, No 4, 89-123

Abstract: Abstract We consider a state-dependent single-server queue with orbit. This is a versatile model for the study of service systems, where the server needs a non-negligible time to retrieve waiting customers every time he completes a service. This situation arises typically when the customers are not physically present at a system, but they have a remote access to it, as in a call center station, a communication node, etc. We introduce a probabilistic approach for the performance evaluation of this queueing system, that we refer to as the queueing and Markov chain decomposition approach. Moreover, we discuss the applicability of this approach for the performance evaluation of other non-Markovian service systems with state dependencies.

Keywords: State-dependent queueing system; Orbit; Retrial queue; Non-negligible retrieval time; Steady-state distribution; Conditional sojourn time distributions; Variable arrival rate; Variable service speed; Queueing and Markov chain decomposition; 60K25; 90B22 (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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DOI: 10.1007/s11134-018-9582-1

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