Heavy traffic analysis for continuous polling models

Dirk Kroese

doi:10.2307/3215097

Heavy traffic analysis for continuous polling models

Dirk Kroese

Discrete Mathematics and Mathematical Programming

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

18 Citations (Scopus)

Abstract

We consider a continuous polling system in heavy traffic. Using the relationship between such systems and age-dependent branching processes, we show that the steady-state number of waiting customers in heavy traffic has approximately a gamma distribution. Moreover, given their total number, the configuration of these customers is approximately deterministic.

Original language	Undefined
Pages (from-to)	720-732
Number of pages	13
Journal	Journal of applied probability
Volume	34
Issue number	3
DOIs	https://doi.org/10.2307/3215097
Publication status	Published - 1997

Keywords

IR-98530
METIS-140769

Access to Document

10.2307/3215097

Cite this

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title = "Heavy traffic analysis for continuous polling models",

abstract = "We consider a continuous polling system in heavy traffic. Using the relationship between such systems and age-dependent branching processes, we show that the steady-state number of waiting customers in heavy traffic has approximately a gamma distribution. Moreover, given their total number, the configuration of these customers is approximately deterministic.",

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KW - METIS-140769

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DO - 10.2307/3215097

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JF - Journal of applied probability

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