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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Busy Period Analysis of a Man-machine System Operating Subject To Different Physical Conditions

G S. Mokaddis, M. L. Tawfek and S. A.M. Elhssia

Abstract

This study deals with some characteristics of a single-unit of a man-machine system operating under different physical conditions. The failure, repair and change of physical conditions (good-poor) are stochastically independent random variables each having an arbitrary distribution. The system analysed by some Markov process technique. The busy period, expected number of visits by the repairman and the cost per unit time in a steady state of the system are obtained. Several important results have been derived as particular cases.

Journal of Mathematics and Statistics
Volume 1 No. 2, 2005, 160-164

DOI: https://doi.org/10.3844/jmssp.2005.160.164

Published On: 30 June 2005

How to Cite: Mokaddis, G. S., Tawfek, M. L. & Elhssia, S. A. (2005). Busy Period Analysis of a Man-machine System Operating Subject To Different Physical Conditions. Journal of Mathematics and Statistics, 1(2), 160-164. https://doi.org/10.3844/jmssp.2005.160.164

Open AccessCopyright: © 2005 G S. Mokaddis, M. L. Tawfek and S. A.M. Elhssia. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Busy Period
  • Failure
  • Repair
  • Regenerative State
  • Availability