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Stochastic Analysis of a System with Redundant Robots, One Built-in Safety Unit, and Common-Cause Failures

  • B. S. Dhillon
  • Zhijian Li
Article

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.

Key words

availability common-cause failures reliability repair robot safety system 

References

  1. 1.
    Nicolaisen, P.: Safety problems related to robots, Robotics 3 (1987), 205–211.CrossRefGoogle Scholar
  2. 2.
    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.Google Scholar
  3. 3.
    Dhillon, B. S.: Robot Reliability and Safety, Springer, Berlin Heidelberg New York, 1991.Google Scholar
  4. 4.
    Ramirez, C. A.: Safety of robot, in: S. Y. Nof (ed.), Handbook of Industrial Robots, Wiley, New York, New York, 1985, pp. 131–148.Google Scholar
  5. 5.
    Dhillon, B. S.: Reliability Engineering in Systems Design and Operation, Van Nostrand Reinhold, New York, 1983.Google Scholar
  6. 6.
    Gaver, D. P.: Time to failure and availability of paralleled systems with repair, IEEE Trans. Reliab. 12 (1963) 30–38.CrossRefGoogle Scholar
  7. 7.
    Grag, R. C.: Dependability of a complex system having two types of components, IEEE Trans. Reliab. 12 (1963), 11–15.Google Scholar
  8. 8.
    Dhillon, B. S.: Design Reliability: Fundamentals and Applications, CRC, Boca Raton, Florida, 1999.Google Scholar
  9. 9.
    Corless, R. M.: Essential MAPLE: an Introduction to Scientific Programmers, Springer, Berlin Heidelberg New York, 1995.MATHGoogle Scholar

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringUniversity of OttawaOttawaCanada

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