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A Heuristic Algorithm for Constrained Redundancy Optimization in Complex Systems

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Contemporary Computing (IC3 2010)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 94))

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Abstract

In this paper, a new sensitivity factor in respect of minimal cut sets is defined and used to develop an efficient heuristic algorithm for solving the problem of constrained reliability optimization in complex systems. The algorithm is tested on complex system structures from the literature by solving a set of problems (with both linear and nonlinear constraints), with given and randomly generated data. It is observed that, in comparison to the other existing heuristics, our algorithm can be used as an attractive alternative.

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References

  1. Kuo, W., Prasad, V.R., Tillman, F.A., Hwang, C.-L.: Optimal Reliability Design: Fundamentals and Applications. Cambridge University Press, Cambridge (2001)

    Google Scholar 

  2. Coit, D.W.: Cold-standby redundancy optimization for nonrepairable systems. IIE Transactions 33, 471–478 (2001)

    Google Scholar 

  3. Shelokar, P.S., Jayaraman, V.K., Kulkarni, B.D.: Ant algorithm for single and multiobjective reliability optimization problems. Quality and Reliability Engineering International 18, 497–514 (2002)

    Article  Google Scholar 

  4. Ramirez-Marquez, J.E., Coit, D.W., Konak, A.: Redundancy allocation for series-parallel systems using a max-min approach. IIE Transactions 36, 891–898 (2004)

    Article  Google Scholar 

  5. Zhao, R., Liu, B.: Redundancy optimization problems with uncertainty of combining randomness and fuzziness. European Journal of Operational Research 157, 716–735 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  6. Agarwal, M., Gupta, R.: Penalty guided heuristic algorithm for constrained redundancy optimization. Journal of Mathematical Sciences 2, 72–94 (2003)

    MATH  MathSciNet  Google Scholar 

  7. Agarwal, M., Gupta, R.: Penalty function approach in heuristic algorithm for constrained redundancy reliability optimization. IEEE Transactions on Reliability 54, 549–558 (2005)

    Article  Google Scholar 

  8. Ha, C., Kuo, W.: Multi-path approach for reliability-redundancy allocation using a scaling method. Journal of Heuristics 11, 201–217 (2005)

    Article  MATH  Google Scholar 

  9. Maringer, D.: Portfolio Management With Heuristic Optimization. Springer, Netherlands (2005)

    MATH  Google Scholar 

  10. Kohda, T., Inoue, K.: A reliability optimization method for complex sys-tems with the criterion of local optimality. IEEE Transactions on Reliability 31, 109–111 (1982)

    Article  MATH  Google Scholar 

  11. Shi, D.H.: A new heuristic algorithm for constrained redundancy-optimization in complex systems. IEEE Transactions on Reliability 36, 621–623 (1987)

    Article  MATH  Google Scholar 

  12. Kim, J.H., Yum, B.J.: A heuristic method for solving redundancy opti-mization problems in complex systems. IEEE Trans. Reliability 42, 572–578 (1993)

    Article  MATH  Google Scholar 

  13. Agarwal, M., Aggarwal, S.: Constrained redundancy optimization in complex systems: A heuristic approach. Statistical Methods 7, 64–80 (2005)

    MATH  MathSciNet  Google Scholar 

  14. Agarwal, M., Aggarwal, S.: A heuristic reliability optimization algorithm for complex systems based on measures of reliability importance. Journal of the Indian Statistical Association 42, 35–48 (2004)

    MathSciNet  Google Scholar 

  15. Agarwal, M., Aggarwal, S.: Heuristic algorithms for constrained redun-dancy optimization in complex systems based on new measures of importance. OPSEARCH 43, 88–102 (2006)

    MATH  MathSciNet  Google Scholar 

  16. Agarwal, M., Aggarwal, S.: A heuristic 3-neighborhood reliability opti-mization algorithm. In: Rao, M.R., Puri, M.C. (eds.) Operational Research And Its Applications: Recent Trends (APORS 2003), vol. I, pp. 214–222. Allied Publishers Pvt. Ltd, New Delhi (2004)

    Google Scholar 

  17. Agarwal, M., Aggarwal, S.: A 3-neighborhood heuristic algorithm for constrained redundancy optimization in complex systems. International Journal of Performability Engineering 2, 331–340 (2006)

    Google Scholar 

  18. Agarwal, M., Aggarwal, S.: An improved 3-neighborhood heuristic algo-rithm for constrained reliability optimization. International Journal of Material & Structural Reliability 6, 1–11 (2008)

    Google Scholar 

  19. Ha, C., Kuo, W.: Multi-path heuristic for redundancy allocation: the tree heuristic. IEEE Transactions on Reliability 55, 37–43 (2006)

    Article  Google Scholar 

  20. Aven, T., Jensen, U.: Stochastic Models in Reliability. Springer, New York (1999)

    Book  MATH  Google Scholar 

  21. Abraham, J.A.: An improved algorithm for network reliability. IEEE Transactions on Reliability 28, 58–61 (1979)

    Article  MATH  Google Scholar 

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Aggarwal, S. (2010). A Heuristic Algorithm for Constrained Redundancy Optimization in Complex Systems. In: Ranka, S., et al. Contemporary Computing. IC3 2010. Communications in Computer and Information Science, vol 94. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14834-7_5

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  • DOI: https://doi.org/10.1007/978-3-642-14834-7_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14833-0

  • Online ISBN: 978-3-642-14834-7

  • eBook Packages: Computer ScienceComputer Science (R0)

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