Heavy traffic analysis for continuous polling models

Dirk Kroese

Research output: Contribution to journalArticleAcademicpeer-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 languageUndefined
Pages (from-to)720-732
Number of pages13
JournalJournal of applied probability
Volume34
Issue number3
DOIs
Publication statusPublished - 1997

Keywords

  • IR-98530
  • METIS-140769

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