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A new concept for fuzzy variable based non-linear programming problem with application on system reliability via genetic algorithm approach

Author

Listed:
  • G. S. Mahapatra

    (National Institute of Technology Puducherry)

  • B. S. Mahapatra

    (Jadavpur University)

  • P. K. Roy

    (Jadavpur University)

Abstract

Fuzziness is the primary and foremost perception of science and technology. This paper, for the first time, introduces a new concept on solution technique for fuzzy variable based non-linear programming problem with both decision variables and restriction being fuzzy in nature. First the problem is transformed in to a multi-objective non-linear programming problem, and then solving it by multiobjective genetic algorithm (MOGA) approach. The proposed procedure is applied on complex system reliability model to evaluate the system reliability in fuzzy environment, using MOGA by implementing new feature as refining operation. Numerical example is presented to illustrate proposed fuzzy system reliability model.

Suggested Citation

  • G. S. Mahapatra & B. S. Mahapatra & P. K. Roy, 2016. "A new concept for fuzzy variable based non-linear programming problem with application on system reliability via genetic algorithm approach," Annals of Operations Research, Springer, vol. 247(2), pages 853-866, December.
    • Handle: RePEc:spr:annopr:v:247:y:2016:i:2:d:10.1007_s10479-015-1863-z
    DOI: 10.1007/s10479-015-1863-z
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    References listed on IDEAS

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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Stanciulescu, C. & Fortemps, Ph. & Installe, M. & Wertz, V., 2003. "Multiobjective fuzzy linear programming problems with fuzzy decision variables," European Journal of Operational Research, Elsevier, vol. 149(3), pages 654-675, September.
    3. Lirong Cui & Haijun Li & Susan Xu, 2014. "Stochastic methods in reliability and risk management," Annals of Operations Research, Springer, vol. 212(1), pages 1-2, January.
    4. Zhong, X. & Ichchou, M. & Saidi, A., 2010. "Reliability assessment of complex mechatronic systems using a modified nonparametric belief propagation algorithm," Reliability Engineering and System Safety, Elsevier, vol. 95(11), pages 1174-1185.
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