BMAP/G/1 queue under D-policy: Queue length analysis

Woo Lee Ho, Woo Baek Jung

Research output: Contribution to journalArticlepeer-review

14 Scopus citations

Abstract

We study the queue length distribution of a queueing system with BMAP arrivals under D-policy. The idle server begins to serve the customers only when the sum of the service times of all waiting customers exceeds some fixed threshold D. We derive the vector generating functions of the queue lengths both at a departure and at an arbitrary point of time. Mean queue lengths are derived and a numerical example is presented.

Original languageEnglish
Pages (from-to)485-505
Number of pages21
JournalStochastic Models
Volume21
Issue number2-3
DOIs
StatePublished - 2005

Keywords

  • BMAP/G/1
  • D-policy
  • Queue length

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