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Long-run availability of a priority system: a numerical approach

Author

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  • Edmond J. Vanderperre
  • Stanislav S. Makhanov

Abstract

We consider a two-unit cold standby system attended by two repairmen and subjected to a priority rule. In order to describe the random behavior of the twin system, we employ a stochastic process endowed with state probability functions satisfying coupled Hokstad-type differential equations. An explicit evaluation of the exact solution is in general quite intricate. Therefore, we propose a numerical solution of the equations. Finally, particular but important repair time distributions are involved to analyze the long-run availability of the T -system. Numerical results are illustrated by adequate computer-plotted graphs.

Suggested Citation

  • Edmond J. Vanderperre & Stanislav S. Makhanov, 2005. "Long-run availability of a priority system: a numerical approach," Mathematical Problems in Engineering, Hindawi, vol. 2005, pages 1-11, January.
    • Handle: RePEc:hin:jnlmpe:868931
    DOI: 10.1155/MPE.2005.75
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