Journal of Mathematics and Statistics

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

DOI : 10.3844/jmssp.2005.160.164

Journal of Mathematics and Statistics

Volume 1, 2005

Pages 160-164


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.


© 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.