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

Natalia Chernova; Sergey Foss; Bara Kim

doi:10.1016/j.orl.2013.01.001

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

Natalia Chernova, Sergey Foss, Bara Kim

Department of Mathematics

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

4 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.

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 - 2013 Mar

Keywords

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

ASJC Scopus subject areas

Software
Management Science and Operations Research
Industrial and Manufacturing Engineering
Applied Mathematics

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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.",

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KW - Foster criterion

KW - Polling system

KW - Stability conditions

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