Research Article Open Access

Cost Analysis of a Two Dissimilar-Unit Cold Standby Redundant System Subject to Inspection and Random Change in Units

G. S. Mokaddis and C. H. Matta

Abstract

Problem statement: This study deled with the cost analysis of a two dissimilar unit cold standby redundant system subject to inspection and random change in units. In this system each unit works in two different modes normal and total failure. Assuming that the failure, repair, post repair, interchange of units and inspection times are stochastically independent random variables each having an arbitrary distribution. Approach: The system was analyzed by semi Markov process technique. Results: The time-dependent availability, steady-state availability, busy period analysis, expected number of visits by the repairman were obtained numerically and cost analysis was obtained numerically and graphically. Conclusion: Expected cost per unit time decreased with respect to the increase of failure rate.

Journal of Mathematics and Statistics
Volume 6 No. 3, 2010, 306-315

DOI: https://doi.org/10.3844/jmssp.2010.306.315

Submitted On: 29 July 2010 Published On: 30 September 2010

How to Cite: Mokaddis, G. S. & Matta, C. H. (2010). Cost Analysis of a Two Dissimilar-Unit Cold Standby Redundant System Subject to Inspection and Random Change in Units. Journal of Mathematics and Statistics, 6(3), 306-315. https://doi.org/10.3844/jmssp.2010.306.315

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Keywords

  • Availability
  • busy period
  • expected number of visits by the repairman
  • cost analysis