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

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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.

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Acknowledgements

This research is funded by the National Research University Project of Thailand Office of Higher Education Commission and Center of Biomedical Engineering of Thammasat University.

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Authors and Affiliations

  1. A. Ruzettelaan 183, Bus 158, 8370, Blankenberge, Belgium

    Edmond J. Vanderperre

  2. School of Information, Computer and Communication Technology, Sirindhorn International Institute of Technology, Thammasat University, Tiwanont Road, T. Bangkadi, A. Muang, Pathum Thani, 12000, Thailand

    Stanislav S. Makhanov

Authors
  1. Edmond J. Vanderperre
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  2. Stanislav S. Makhanov
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Correspondence to Stanislav S. Makhanov.

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Vanderperre, E.J., Makhanov, S.S. On the availability of a warm standby system: a numerical approach. TOP 22, 644–657 (2014). https://doi.org/10.1007/s11750-013-0285-9

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  • DOI: https://doi.org/10.1007/s11750-013-0285-9

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