Heavy traffic analysis for continuous polling models

Dirk P. Kroese

doi:10.2307/3215097

Heavy traffic analysis for continuous polling models

Dirk P. Kroese

Discrete Mathematics and Mathematical Programming

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

18 Citations (Scopus)

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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	English
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

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18 Citations
1 Report

Heavy traffic analysis for continuous polling models
Kroese, D. P., 1995, Enschede: University of Twente. 17 p. (Memorandum; no. 1259)
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DO - 10.2307/3215097

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Heavy traffic analysis for continuous polling models

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Heavy traffic analysis for continuous polling models

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