Hostname: page-component-74656f9884-c52kr Total loading time: 0 Render date: 2026-11-09T13:31:25.382Z Has data issue: false hasContentIssue false
  • English
  • Français

ON DEVIATION MATRICES FOR BIRTH–DEATH PROCESSES

Published online by Cambridge University Press:  10 April 2001

G. M. Koole  and
F. M. Spieksma
G. M. Koole
Affiliation:
Division of Mathematics and Computer Science, Vrije Universiteit, 1081HV Amsterdam, The Netherlands, E-mail: koole@cs.vu.nl
F. M. Spieksma
Affiliation:
Mathematical Institute, University of Leiden, 2300RA Leiden, The Netherlands, E-mail: spieksma@math.leidenuniv.nl
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

We study deviation matrices of birth–death processes. This is relevant to the control of multidimensional queueing systems. We give an algorithm for computing deviation matrices for birth–death processes. As an application, we compute them explicitly for the M/M/s/N and M/M/s/∞ queues.

Information

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 15 , Issue 2 , April 2001 , pp. 239 - 258
Copyright
© 2001 Cambridge University Press