Clearing models for M/G/1 queues

Onno J. Boxma; David Perry; Wolfgang Stadje

doi:10.1023/A:1010903605577

Clearing models for M/G/1 queues

Onno J. Boxma, David Perry, Wolfgang Stadje

Department of Statistics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	287-306
Number of pages	20
Journal	Queueing Systems
Volume	38
Issue number	3
DOIs	https://doi.org/10.1023/A:1010903605577
State	Published - 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

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10.1023/A:1010903605577

Cite this

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KW - Workload

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Clearing models for M/G/1 queues

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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