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RISK ANALYSIS OF A ROBOT–SAFETY DEVICE SYSTEM SUBJECTED TO A PRIORITY RULE

Published online by Cambridge University Press:  27 April 2012

Edmond J. Vanderperre  and
Stanislav S. Makhanov
Edmond J. Vanderperre
Affiliation:
Department of Decision Sciences, University of South AfricaP.O. Box 392, Pretoria 0003, South Africa E-mail: [email protected]; Ruzettelaan 183, Bus 158, 8370 Blankenberge, Belgium
Stanislav S. Makhanov
Affiliation:
School of Information and Computer Technology, Sirindhorn International Institute of Technology, Thammasat University, 131 Moo 5, Tiwanont Road, Bangkadi Muang, Pathum Thani 12000, Thailand E-mail: [email protected]
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Abstract

We introduce a robot–safety device system characterized by cold stand-by and by an admissible risky state. The system is attended by a single repairman and the robot has overall (break-in) priority in repair with regard to the safety device. We obtain an explicit formula for the point availability of the robot via an integral equation of the renewal-type. The explicit solution requires the notion of effective repair-versus-virtual repair. In order to decide whether the risky state is admissible, we also introduce a risk criterion. The criterion is always satisfied in the case of fast repair. As an example, we consider the case of Weibull–Gnedenko repair and we display a computer-plotted graph of the point availability obtained by a direct numerical solution of a convolution-type integral equation.

Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 26 , Issue 2 , April 2012 , pp. 295 - 306
Copyright
Copyright © Cambridge University Press 2012

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