Citation

Vanderperre EJ, Makhanov SS. Probab. Eng. Inf. Sci. 2012; 26(2): 295-306.

Copyright

(Copyright © 2012, Cambridge University Press)

DOI

10.1017/S0269964811000374

PMID

unavailable

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.

Language: en