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

Edmond J. Vanderperre and Stanislav S. Makhanov

Mathematical Problems in Engineering, 2005, vol. 2005, 1-11

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.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:868931

DOI: 10.1155/MPE.2005.75

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