Journal of Mathematics and Statistics

STOCHASTIC REPAIR AND REPLACEMENT OF A STANDBY SYSTEM

Mohammed A. Hajeeh

DOI : 10.3844/jmssp.2014.384.389

Journal of Mathematics and Statistics

Volume 10, Issue 3

Pages 384-389

Abstract

Mechanical systems deteriorate over time and do not perform according to their intended functions and eventually fail due to the failure of one or more their components or units. Failed components are either repaired or replaced depending of several factors such as cost, criticality, or reliability. Repair is perfect, minimal, or imperfect. This study assesses the performance of a standby system which upon the failure of any component is either replaced or repaired. Two models are constructed and analyzed, the first model assumes the system to be perfectly repaired after each failure, whereas in the second the failed component is either replaced or imperfectly repaired. Steady state availably is used as a performance measure.

Copyright

© 2014 Mohammed A. Hajeeh. 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.