Stability of a priority queueing system with customer transfers

Jingui Xie; Qi Ming He; Xiaobo Zhao

doi:10.1016/j.orl.2008.06.007

Stability of a priority queueing system with customer transfers

Jingui Xie
, Qi Ming He
, Xiaobo Zhao

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

19 Scopus citations

Abstract

This paper is concerned with the stability of a preemptive priority queueing system with customer transfers. Conditions for the queueing system to be stable/unstable are found. An interesting result is that the stability/instability conditions are independent of the service rates of lower priority customers and the transfer rates.

Original language	English
Pages (from-to)	705-709
Number of pages	5
Journal	Operations Research Letters
Volume	36
Issue number	6
DOIs	https://doi.org/10.1016/j.orl.2008.06.007
State	Published - Nov 2008
Externally published	Yes

Keywords

Ergodicity
Markov chain
Mean-drift method
Priority queue
Stability

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10.1016/j.orl.2008.06.007

Cite this

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title = "Stability of a priority queueing system with customer transfers",

abstract = "This paper is concerned with the stability of a preemptive priority queueing system with customer transfers. Conditions for the queueing system to be stable/unstable are found. An interesting result is that the stability/instability conditions are independent of the service rates of lower priority customers and the transfer rates.",

keywords = "Ergodicity, Markov chain, Mean-drift method, Priority queue, Stability",

author = "Jingui Xie and He, \{Qi Ming\} and Xiaobo Zhao",

note = "Funding Information: The authors would like to thank an anonymous referee for valuable comments and suggestions. The research was partially supported by NSF of China under grant 70325004.",

year = "2008",

month = nov,

doi = "10.1016/j.orl.2008.06.007",

language = "English",

volume = "36",

pages = "705--709",

journal = "Operations Research Letters",

issn = "0167-6377",

publisher = "Elsevier B.V.",

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T1 - Stability of a priority queueing system with customer transfers

AU - Xie, Jingui

AU - He, Qi Ming

AU - Zhao, Xiaobo

N1 - Funding Information: The authors would like to thank an anonymous referee for valuable comments and suggestions. The research was partially supported by NSF of China under grant 70325004.

PY - 2008/11

Y1 - 2008/11

N2 - This paper is concerned with the stability of a preemptive priority queueing system with customer transfers. Conditions for the queueing system to be stable/unstable are found. An interesting result is that the stability/instability conditions are independent of the service rates of lower priority customers and the transfer rates.

AB - This paper is concerned with the stability of a preemptive priority queueing system with customer transfers. Conditions for the queueing system to be stable/unstable are found. An interesting result is that the stability/instability conditions are independent of the service rates of lower priority customers and the transfer rates.

KW - Ergodicity

KW - Markov chain

KW - Mean-drift method

KW - Priority queue

KW - Stability

UR - https://www.scopus.com/pages/publications/54249126860

U2 - 10.1016/j.orl.2008.06.007

DO - 10.1016/j.orl.2008.06.007

M3 - Article

AN - SCOPUS:54249126860

SN - 0167-6377

VL - 36

SP - 705

EP - 709

JO - Operations Research Letters

JF - Operations Research Letters

IS - 6

ER -

Stability of a priority queueing system with customer transfers

Abstract

Keywords

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