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

STOCHASTIC REPAIR AND REPLACEMENT OF A STANDBY SYSTEM

Mohammed A. Hajeeh1
  • 1 , Kuwait

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.

Journal of Mathematics and Statistics
Volume 10 No. 3, 2014, 384-389

DOI: https://doi.org/10.3844/jmssp.2014.384.389

Submitted On: 9 October 2013 Published On: 9 October 2014

How to Cite: Hajeeh, M. A. (2014). STOCHASTIC REPAIR AND REPLACEMENT OF A STANDBY SYSTEM. Journal of Mathematics and Statistics, 10(3), 384-389. https://doi.org/10.3844/jmssp.2014.384.389

Open AccessCopyright: © 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.

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Keywords

  • Availability
  • Imperfect Repair
  • Failure
  • Steady State