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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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References

REFERENCES

1.Birolini, A. (2006). Reliability Engineering. Berlin: Springer-Verlag.Google Scholar
2.Brandin, B.A. (1996). The real time supervisory control of an experimental manufacturing cell. IEEE Transactions on Robotics Automation 12: 1–13.CrossRefGoogle Scholar
3.Brémaud, P. (1991). Point processes and queues. Springer Series in Statistics. Berlin: Springer-Verlag.Google Scholar
4.Dhillon, B.S. & Liu, Y. (2006). Human error in maintenance: A review. Journal of Quality in Maintenance Engineering 12: 21–36.CrossRefGoogle Scholar
5.Dhillon, B.S. & Yang, N. (1996). Availability analysis of a robot with safety device. Microelectronics & Reliability 36: 169–177.CrossRefGoogle Scholar
6.Dhillon, B.S. & Yang, N. (1997). Stochastic analysis of an active stand-by redundant system with two types of common-cause failures. Stochastic Analysis and Applications 15: 313–325.CrossRefGoogle Scholar
7.Gaskill, S.P. & Went, S.R.G. (1996). Safety issues in modern applications of robots. Reliability Engineering and System Safety 53: 301–307.CrossRefGoogle Scholar
8.Gnedenko, B. & Ushakov, I.A. (1994). In Falk, A.J. (ed.), Probabilistic Reliability Engineering. New York: Wiley.Google Scholar
9.Serfoso, R.F. (1990). Point Processes. In [Heyman, D.P. & Sobel, M.J. (eds.)] Handbook in operations research and management science, vol. 2, Amsterdam: North-Holland, P.C.Google Scholar
10.Shaked, M. & Shanthikumar, I. G. (1990). Reliability and maintainability. In [Heyman, D.P., Sobel, M.J. (eds.)], Handbook in operations research and management science, vol. 2, Amsterdam: North-Holland, P.C.Google Scholar
11.Thomson, J.F., Soni, B., & Weatherill, N. (1998). Handbook of grid generation. Baco Raton: CRC Press, LLC.CrossRefGoogle Scholar
12.Vanderperre, E.J. (2000). A Sokhotski-Plemelj problem related to a robot–safety device system. Operations Research Letters 27: 67–71.CrossRefGoogle Scholar
13.Vanderperre, E.J. & Makhanov, S.S. (2002). Risk analysis of a robot–safety device. International Journal of Reliability, Quality and Safety Engineering 9: 79–87.CrossRefGoogle Scholar
14.Vanderperre, E.J. & Makhanov, S.S. (2009). Overall availability of a robot with internal safety device. Computers & Industrial Engineering 56: 236–240.CrossRefGoogle Scholar