Abstract
This paper presents reliability and availability analyses of a mathematical model representing a robot-safety system having n-redundant robots and one built-in safety unit with common-cause failures. At least k robots must function successfully for the overall robot system success. The system failure rates and the partially failed system repair rates are assumed constant and the failed system repair time is assumed arbitrarily distributed. Markov and supplementary variable methods were used to develop generalized expressions for state probabilities, system availabilities, reliability, and mean time to failure. Some plots of these expressions are shown.
Similar content being viewed by others
References
Nicolaisen, P.: Safety problems related to robots, Robotics 3 (1987), 205–211.
Nagamachi, M.: Ten fatal accidents due to robots in Japan, in: H. R. Karwowski, M. R. Parsaei (eds.), Ergonomics of Hybrid Automated Systems I, Elsevier, Amsterdam, 1988, pp. 391–396.
Dhillon, B. S.: Robot Reliability and Safety, Springer, Berlin Heidelberg New York, 1991.
Ramirez, C. A.: Safety of robot, in: S. Y. Nof (ed.), Handbook of Industrial Robots, Wiley, New York, New York, 1985, pp. 131–148.
Dhillon, B. S.: Reliability Engineering in Systems Design and Operation, Van Nostrand Reinhold, New York, 1983.
Gaver, D. P.: Time to failure and availability of paralleled systems with repair, IEEE Trans. Reliab. 12 (1963) 30–38.
Grag, R. C.: Dependability of a complex system having two types of components, IEEE Trans. Reliab. 12 (1963), 11–15.
Dhillon, B. S.: Design Reliability: Fundamentals and Applications, CRC, Boca Raton, Florida, 1999.
Corless, R. M.: Essential MAPLE: an Introduction to Scientific Programmers, Springer, Berlin Heidelberg New York, 1995.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Dhillon, B.S., Li, Z. Stochastic Analysis of a System with Redundant Robots, One Built-in Safety Unit, and Common-Cause Failures. J Intell Robot Syst 45, 137–155 (2006). https://doi.org/10.1007/s10846-005-9024-2
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10846-005-9024-2