@article{ref1,
title="Risk analysis of a robot-safety device system subjected to a priority rule",
journal="Probability in the engineering and informational sciences",
year="2012",
author="Vanderperre, Edmond J. and Makhanov, Stanislav S.",
volume="26",
number="2",
pages="295-306",
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.<p /><p>Language: en</p>",
language="en",
issn="0269-9648",
doi="10.1017/S0269964811000374",
url="http://dx.doi.org/10.1017/S0269964811000374"
}