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Introducing probabilistic models for redundant system reliability

Author

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  • Mansur Babagana
  • Bello Gimba
  • Ibrahim Yusuf

Abstract

Probabilistic models have been developed to evaluate the relationship between reliability measures and the performance of a repairable network with built in redundancy. Networks with built in redundancy have been considered and explicit expressions have been derived for three characteristics related to such systems including steady-state availability, period of repair, and a profit function. Various graphs have been plotted to discover the impact of availability and mean time to system failure on net profit, as well as the impact of the failure and service rate on the steady-state availability, net profit and mean time to system failure. The system was analysed using first order linear differential equations

Suggested Citation

  • Mansur Babagana & Bello Gimba & Ibrahim Yusuf, 2016. "Introducing probabilistic models for redundant system reliability," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 26(1), pages 5-18.
    • Handle: RePEc:wut:journl:v:1:y:2016:p:5-18:id:1188
    DOI: 10.5277/ord160101
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    References listed on IDEAS

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    1. H. Salehi Fathabadi & M. Khodaei, 2012. "Reliability evaluation of network flows with stochastic capacity and cost constraint," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 4(4), pages 439-452.
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