Stability of a two-class two-server retrial queueing system

Bara Kim; Jeongsim Kim

doi:10.1016/j.peva.2015.02.002

Stability of a two-class two-server retrial queueing system

Bara Kim, Jeongsim Kim

Department of Mathematics

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

9 Citations (Scopus)

Abstract

We consider a two-class two-server retrial queueing system. Customers of each class arrive according to a Poisson process and the service times of each class of customers are assumed to be exponentially distributed with service rates depending on both the customer's class and the servers. We provide stability and instability conditions for this retrial queueing system.

Original language	English
Pages (from-to)	1-17
Number of pages	17
Journal	Performance Evaluation
Volume	88-89
DOIs	https://doi.org/10.1016/j.peva.2015.02.002
Publication status	Published - 2015 Jun 1

Keywords

Markov process
Stability
Test function
Two-class two-server retrial queue

ASJC Scopus subject areas

Software
Modelling and Simulation
Hardware and Architecture
Computer Networks and Communications

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10.1016/j.peva.2015.02.002

Cite this

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abstract = "We consider a two-class two-server retrial queueing system. Customers of each class arrive according to a Poisson process and the service times of each class of customers are assumed to be exponentially distributed with service rates depending on both the customer's class and the servers. We provide stability and instability conditions for this retrial queueing system.",

keywords = "Markov process, Stability, Test function, Two-class two-server retrial queue",

author = "Bara Kim and Jeongsim Kim",

note = "Funding Information: B. Kim{\textquoteright}s research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. 2014R1A2A2A01005831 ). J. Kim{\textquoteright}s work was conducted during the research year of Chungbuk National University in 2013. ",

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AU - Kim, Bara

AU - Kim, Jeongsim

N1 - Funding Information: B. Kim’s research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. 2014R1A2A2A01005831 ). J. Kim’s work was conducted during the research year of Chungbuk National University in 2013.

PY - 2015/6/1

Y1 - 2015/6/1

N2 - We consider a two-class two-server retrial queueing system. Customers of each class arrive according to a Poisson process and the service times of each class of customers are assumed to be exponentially distributed with service rates depending on both the customer's class and the servers. We provide stability and instability conditions for this retrial queueing system.

AB - We consider a two-class two-server retrial queueing system. Customers of each class arrive according to a Poisson process and the service times of each class of customers are assumed to be exponentially distributed with service rates depending on both the customer's class and the servers. We provide stability and instability conditions for this retrial queueing system.

KW - Markov process

KW - Stability

KW - Test function

KW - Two-class two-server retrial queue

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JO - Performance Evaluation

JF - Performance Evaluation

ER -

Stability of a two-class two-server retrial queueing system

Abstract

Keywords

ASJC Scopus subject areas

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