Clearing models for M/G/1 queues

Onno J. Boxma, David Perry, Wolfgang Stadje

Research output: Contribution to journalArticlepeer-review

Abstract

We consider M/G/1-type queueing systems with 'disasters', occurring at certain random times and causing an instantaneous removal of the entire residual workload from the system. After such a clearing, the system is assumed to be ready to start working again immediately. We consider clearings at deterministic equidistant times, at random times and at crossings of some prespecified level, and derive the stationary distribution of the workload process for these clearing times and some of their combinations.

Original languageEnglish
Pages (from-to)287-306
Number of pages20
JournalQueueing Systems
Volume38
Issue number3
DOIs
StatePublished - Jul 2001

Bibliographical note

Funding Information:
W. Stadje was supported by the Volkswagen Foundation.

Keywords

  • Clearing
  • M/G/1 queue
  • Workload

ASJC Scopus subject areas

  • Statistics and Probability
  • Computer Science Applications
  • Management Science and Operations Research
  • Computational Theory and Mathematics

Cite this