Stability of a multi-class multi-server retrial queueing system with service times depending on classes and servers

Bara Kim; Jeongsim Kim

doi:10.1007/s11134-019-09634-x

Stability of a multi-class multi-server retrial queueing system with service times depending on classes and servers

Bara Kim, Jeongsim Kim

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

We consider a multi-class multi-server retrial queueing system. Customers of each class arrive from outside the system according to a Poisson process. The service times for each class of customers are assumed to be exponentially distributed with service rates depending on both the customers’ class and the servers. We define the offered load and provide stability and instability conditions for this retrial queueing system. The stability result can be obtained by introducing artificial primitive processes and using the fluid limit approach.

Original language	English
Pages (from-to)	129-146
Number of pages	18
Journal	Queueing Systems
Volume	94
Issue number	1-2
DOIs	https://doi.org/10.1007/s11134-019-09634-x
Publication status	Published - 2020 Feb 1

Keywords

Fluid limit
Retrial queue
Stability

ASJC Scopus subject areas

Statistics and Probability
Computer Science Applications
Management Science and Operations Research
Computational Theory and Mathematics

Access to Document

10.1007/s11134-019-09634-x

Cite this

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abstract = "We consider a multi-class multi-server retrial queueing system. Customers of each class arrive from outside the system according to a Poisson process. The service times for each class of customers are assumed to be exponentially distributed with service rates depending on both the customers{\textquoteright} class and the servers. We define the offered load and provide stability and instability conditions for this retrial queueing system. The stability result can be obtained by introducing artificial primitive processes and using the fluid limit approach.",

keywords = "Fluid limit, Retrial queue, Stability",

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N2 - We consider a multi-class multi-server retrial queueing system. Customers of each class arrive from outside the system according to a Poisson process. The service times for each class of customers are assumed to be exponentially distributed with service rates depending on both the customers’ class and the servers. We define the offered load and provide stability and instability conditions for this retrial queueing system. The stability result can be obtained by introducing artificial primitive processes and using the fluid limit approach.

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Stability of a multi-class multi-server retrial queueing system with service times depending on classes and servers

Abstract

Keywords

ASJC Scopus subject areas

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