Title
The state-dependent M /  G / 1 queue with orbit
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.
Year
DOI
Venue
2018
10.1007/s11134-018-9582-1
Queueing Systems
Keywords
Field
DocType
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
Orbit,Mathematical optimization,State dependent,Markov chain,Queue,M/G/1 queue,Queueing theory,Probabilistic logic,Mathematics,Retrial queue
Journal
Volume
Issue
ISSN
90
1-2
1572-9443
Citations 
PageRank 
References 
0
0.34
11
Authors
3
Name
Order
Citations
PageRank
Opher Baron114514.64
Antonis Economou223720.53
Athanasia Manou3232.20