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Reliability and cost analysis of series system models using fuzzy parametric geometric programming

Author

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  • B. S. Mahapatra

    (Seacom Engineering College)

  • G. S. Mahapatra

    (Siliguri Institute of Technology)

Abstract

In this paper, we have discussed series system models with system reliability and cost. We have considered two types of the model; the former focuses on a problem of optimal reliability for series system with cost constraint and the latter is a center system cost model with reliability goal. It is necessary to improve the reliability of the system under limited available cost of system and also to minimize the systems cost subject to target goal of the reliability. Practically, cost of components has always been imprecise with vague in nature. So they are taken as fuzzy in nature and the reliability models are formulated as a fuzzy parametric geometric programming problem. Numerical examples are given to illustrate the model through fuzzy parametric geometric programming technique.

Suggested Citation

  • B. S. Mahapatra & G. S. Mahapatra, 2010. "Reliability and cost analysis of series system models using fuzzy parametric geometric programming," Fuzzy Information and Engineering, Springer, vol. 2(4), pages 399-411, December.
    • Handle: RePEc:spr:fuzinf:v:2:y:2010:i:4:d:10.1007_s12543-010-0058-1
    DOI: 10.1007/s12543-010-0058-1
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    References listed on IDEAS

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    1. A. J. Federowicz & M. Mazumdar, 1968. "Use of Geometric Programming to Maximize Reliability Achieved by Redundancy," Operations Research, INFORMS, vol. 16(5), pages 948-954, October.
    2. Sung, C. S. & Cho, Y. K., 2000. "Reliability optimization of a series system with multiple-choice and budget constraints," European Journal of Operational Research, Elsevier, vol. 127(1), pages 159-171, November.
    3. Hausken, Kjell & Levitin, Gregory, 2009. "Protection vs. false targets in series systems," Reliability Engineering and System Safety, Elsevier, vol. 94(5), pages 973-981.
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    Cited by:

    1. G. S. Mahapatra & T. K. Mandal, 2012. "Posynomial Parametric Geometric Programming with Interval Valued Coefficient," Journal of Optimization Theory and Applications, Springer, vol. 154(1), pages 120-132, July.

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