Journal of Mathematics and Statistics

Stochastic Behavior of a Two-Unit Warm Standby System with Two Types of Repairmen and Patience Time

G. S. Mokaddis, M. Salah EL-Sherbeny and Y. Mahmoud Ayid

DOI : 10.3844/jmssp.2009.42.46

Journal of Mathematics and Statistics

Volume 5, Issue 1

Pages 42-46

Abstract

Problem statement: In this study we investigated the probabilistic analysis of a two-unit warm standby system with constant failure rate and two types of repairmen and patience time. The first repairman, usually called regular repairman, always remained with the repair facility, with the known fact that he might not be able to do some complex repairs within some tolerable (patience) time. An expert repairman was called for the system if and only if the regular repairman is unable to do the job, within some fixed time or on system failure, whichever occurs first. Approach: Techniques of regenerative point processes had been used to measure the system effectiveness Results: The time-dependent availability, steady-state availability, reliability, (MTTF) and profit function were obtained numerically and graphically. Conclusion: The availability and profit decreased with respect to the increase of failure rate.

Copyright

© 2009 G. S. Mokaddis, M. Salah EL-Sherbeny and Y. Mahmoud Ayid. 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.