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Mathematical modeling and fuzzy availability analysis of skim milk powder system of a dairy plant

Author

Listed:
  • Anil Kr. Aggarwal

    (Pt. L.R. College of Technology (Technical campus))

  • Sanjeev Kumar

    (YMCA University of Science and Technology)

  • Vikram Singh

    (YMCA University of Science and Technology)

Abstract

Conventional reliability analysis relies on the probability theory and the binary states i.e. success or failed state of a component or system only. This type of reliability analysis amplifies the uncertainty in computation of system reliability. To overcome this problem, the concept of fuzzy reliability has been used in the evaluation of reliability of the system and the binary states i.e. success and failure of a component or system is viewed in a fuzzy way. Mathematical formulation of the fault-tolerant skim milk powder system is carried out using mnemonic rule and the governing Chapman–Kolmogorov differential equations are solved with fourth order Runge–Kutta method. In this paper, the effect of failure rate, repair rate of each subsystem and coverage factor on fuzzy availability of skim milk powder system is analyzed.

Suggested Citation

  • Anil Kr. Aggarwal & Sanjeev Kumar & Vikram Singh, 2016. "Mathematical modeling and fuzzy availability analysis of skim milk powder system of a dairy plant," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 7(1), pages 322-334, December.
    • Handle: RePEc:spr:ijsaem:v:7:y:2016:i:1:d:10.1007_s13198-014-0252-3
    DOI: 10.1007/s13198-014-0252-3
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    References listed on IDEAS

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    1. Myers, Albert F. & Rauzy, Antoine, 2008. "Assessment of redundant systems with imperfect coverage by means of binary decision diagrams," Reliability Engineering and System Safety, Elsevier, vol. 93(7), pages 1025-1035.
    2. Antonsson, Erik K. & Sebastian, Hans-Jurgen, 2005. "Fuzzy fitness functions applied to engineering design problems," European Journal of Operational Research, Elsevier, vol. 166(3), pages 794-811, November.
    3. Levitin, Gregory & Amari, Suprasad V., 2008. "Multi-state systems with multi-fault coverage," Reliability Engineering and System Safety, Elsevier, vol. 93(11), pages 1730-1739.
    4. Daneshkhah, Alireza & Bedford, Tim, 2013. "Probabilistic sensitivity analysis of system availability using Gaussian processes," Reliability Engineering and System Safety, Elsevier, vol. 112(C), pages 82-93.
    5. Li, Chun-yang & Chen, Xun & Yi, Xiao-shan & Tao, Jun-yong, 2010. "Heterogeneous redundancy optimization for multi-state series–parallel systems subject to common cause failures," Reliability Engineering and System Safety, Elsevier, vol. 95(3), pages 202-207.
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