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On the availability of a warm standby system: a numerical approach

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  • Edmond Vanderperre
  • Stanislav Makhanov

Abstract

We consider a basic duplex system characterized by warm standby and attended by two general heterogeneous repairmen. In order to derive computational results for the point availability of the engineering system, we first employ a stochastic process endowed with time-dependent transition measures satisfying coupled partial differential equations. However, an explicit evaluation of the (exact) solution is in general excluded. Therefore, we also propose a numerical solution of the equations. Our methodology is based on new modification of the first-order upwind scheme applied to a semiinfinite region. As an application, we consider the important case of Weibull–Gnedenko repair and provide an in-depth analysis of some key features of the duplex system. Copyright Sociedad de Estadística e Investigación Operativa 2014

Suggested Citation

  • Edmond Vanderperre & Stanislav Makhanov, 2014. "On the availability of a warm standby system: a numerical approach," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(2), pages 644-657, July.
    • Handle: RePEc:spr:topjnl:v:22:y:2014:i:2:p:644-657
    DOI: 10.1007/s11750-013-0285-9
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    References listed on IDEAS

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    1. Yun, Won Young & Cha, Ji Hwan, 2010. "Optimal design of a general warm standby system," Reliability Engineering and System Safety, Elsevier, vol. 95(8), pages 880-886.
    2. Ruiz-Castro, Juan Eloy & Fernández-Villodre, Gemma, 2012. "A complex discrete warm standby system with loss of units," European Journal of Operational Research, Elsevier, vol. 218(2), pages 456-469.
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