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A Markov time related to a robot-safety device system

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Abstract.

We consider a robot-safety device system attended by two different repairmen. The twin-system is characterized by the natural feature of cold standby and an admissible risky state. Apart from tangible results obtained in the previous Literature, we introduce a Markov time called the recovery time of the system. In order to obtain the corresponding distribution, we employ a stochastic process endowed with time dependent state probabilities related to the point availability of a renewable robot without safety device. Finally, as an example, we consider the case of Weibull repair (for the robot) and deterministic repair (for the safety device). We provide several computer-plotted graphs obtained by advanced numerical methods.

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Authors and Affiliations

  1. Department of Quantitative Management, University of South Africa, P.O. Box 392, 0003, Pretoria, Republic of South Africa

    Edmond J. Vanderperre

  2. Faculty of Information Technology, Sirindhorn International, Institute of Technology, Thammasat University, P.O. Box 22, 12121, Pathumthani, Thailand

    Stanislav S. Makhanov

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

Additional information

Received: February 2004 / Revised version: October 2004

MSC classification:

60K10

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Vanderperre, E.J., Makhanov, S.S. A Markov time related to a robot-safety device system. 4OR 3, 51–57 (2005). https://doi.org/10.1007/s10288-004-0055-5

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  • DOI: https://doi.org/10.1007/s10288-004-0055-5

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