Polling with batch service

Onno Boxma*, Jan Van Der Wal, Uri Yechiali

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This article considers a batch service polling system. We first study the case in which the server visits the queues cyclically, considering three different service regimes: gated, exhaustive, and globally gated. We subsequently analyze the case (the so-called "Israeli Queue") in which the server first visits the queue with the "oldest" customer. In both cases, queue lengths and waiting times are the main performance measures under consideration.

Original languageEnglish
Pages (from-to)604-625
Number of pages22
JournalStochastic Models
Volume24
Issue number4
DOIs
StatePublished - Oct 2008

Keywords

  • Batch service
  • Exhaustive
  • Gated
  • Globally gated
  • Polling

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