A polling system whose stability region depends on a whole distribution of service times

Natalia Chernova; Serguei Foss; Bara Kim

doi:10.1016/j.orl.2013.01.001

A polling system whose stability region depends on a whole distribution of service times

Natalia Chernova^*, Serguei Foss, Bara Kim

^*Corresponding author for this work

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

7 Citations (Scopus)

Abstract

We present an example of a single-server polling system with two queues and an adaptive service policy. where the stability region depends on the expected values of all the primitives and also on a certain exponential moment of the service-time distribution in one of the queues. The latter parameter cannot be determined, in general, in terms of any finite number of moments. (C) 2013 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	188-190
Number of pages	3
Journal	Operations Research Letters
Volume	41
Issue number	2
DOIs	https://doi.org/10.1016/j.orl.2013.01.001
Publication status	Published - Mar 2013

Keywords

Polling system
Adaptive limited and exhaustive service disciplines
Stability conditions
Foster criterion

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10.1016/j.orl.2013.01.001

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title = "A polling system whose stability region depends on a whole distribution of service times",

abstract = "We present an example of a single-server polling system with two queues and an adaptive service policy. where the stability region depends on the expected values of all the primitives and also on a certain exponential moment of the service-time distribution in one of the queues. The latter parameter cannot be determined, in general, in terms of any finite number of moments. (C) 2013 Elsevier B.V. All rights reserved.",

keywords = "Polling system, Adaptive limited and exhaustive service disciplines, Stability conditions, Foster criterion",

author = "Natalia Chernova and Serguei Foss and Bara Kim",

year = "2013",

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doi = "10.1016/j.orl.2013.01.001",

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T1 - A polling system whose stability region depends on a whole distribution of service times

AU - Chernova, Natalia

AU - Foss, Serguei

AU - Kim, Bara

PY - 2013/3

Y1 - 2013/3

N2 - We present an example of a single-server polling system with two queues and an adaptive service policy. where the stability region depends on the expected values of all the primitives and also on a certain exponential moment of the service-time distribution in one of the queues. The latter parameter cannot be determined, in general, in terms of any finite number of moments. (C) 2013 Elsevier B.V. All rights reserved.

AB - We present an example of a single-server polling system with two queues and an adaptive service policy. where the stability region depends on the expected values of all the primitives and also on a certain exponential moment of the service-time distribution in one of the queues. The latter parameter cannot be determined, in general, in terms of any finite number of moments. (C) 2013 Elsevier B.V. All rights reserved.

KW - Polling system

KW - Adaptive limited and exhaustive service disciplines

KW - Stability conditions

KW - Foster criterion

U2 - 10.1016/j.orl.2013.01.001

DO - 10.1016/j.orl.2013.01.001

M3 - Article

SN - 0167-6377

VL - 41

SP - 188

EP - 190

JO - Operations Research Letters

JF - Operations Research Letters

IS - 2

ER -

A polling system whose stability region depends on a whole distribution of service times

Abstract

Keywords

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