African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 262

Full Length Research Paper

M|G|∞ queue system parameters for a particular collection of service time distributions

  Ferreira, Manuel Alberto M.* and Andrade, M.
ISCTE - Instituto Superior de Ciências do Trabalho e da Empresa UNIDE - Unidade de Investigação e Desenvolvimento Empresarial, Lisbon, Portugal.
Email: [email protected]

  •  Accepted: 30 June 2009
  •  Published: 31 August 2009

Abstract

 

The problems that arise in the computation of the moments of a particular collection of service time distributions, for which the M|G|∞ busy period and busy cycle become very easy to study, are presented in this paper. It is shown how to overcome them. The busy cycle renewal function, the “peak” and the “modified peak” for the M|G|∞ busy period and busy cycle in the case of those service time distributions are also computed.

 

Key words: Probability distributions, M|G|∞, busy period, busy cycle.

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This article is published under the terms of the Creative Commons Attribution License 4.0

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