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Mathematical modeling and reliability analysis of the serial processes in feeding system of a sugar plant

Author

Listed:
  • Anil Kr. Aggarwal

    (Rattan Institute of Technology & Management)

  • Sanjeev Kumar

    (YMCA University of Science & Technology (YMCAUST))

  • Vikram Singh

    (YMCA University of Science & Technology (YMCAUST))

Abstract

In this paper, a numerical method is proposed for the reliability analysis of serial processes in the feeding system of a sugar plant. The feeding system is a complex system and comprises of four repairable sub-systems viz. cutting system, crushing system, bagasse carrying system and heat generating system arranged in series or parallel configurations. Three sub-systems namely cutting system, bagasse carrying system and heat generating system are supported by standby units with perfect switch over devices. Mathematical modeling of the system based on Markov birth–death process is carried out to derive Chapman–Kolmogorov differential equations. These equations are solved by using the proposed method i.e. an adaptive step-size control Runge–Kutta method. The long-run availability, reliability and mean time between failures (MTBF) for the system are computed for performance analysis of the system. These results are presented and discussed with the plant personnel to adopt and practice suitable maintenance policies/strategies to enhance the performance of the feeding system of sugar plant.

Suggested Citation

  • Anil Kr. Aggarwal & Sanjeev Kumar & Vikram Singh, 2017. "Mathematical modeling and reliability analysis of the serial processes in feeding system of a sugar 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. 8(1), pages 435-450, January.
    • Handle: RePEc:spr:ijsaem:v:8:y:2017:i:1:d:10.1007_s13198-015-0360-8
    DOI: 10.1007/s13198-015-0360-8
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    References listed on IDEAS

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    1. Doostparast, Mohammad & Kolahan, Farhad & Doostparast, Mahdi, 2014. "A reliability-based approach to optimize preventive maintenance scheduling for coherent systems," Reliability Engineering and System Safety, Elsevier, vol. 126(C), pages 98-106.
    2. Dhople, S.V. & DeVille, L. & Domínguez-García, A.D., 2014. "A Stochastic Hybrid Systems framework for analysis of Markov reward models," Reliability Engineering and System Safety, Elsevier, vol. 123(C), pages 158-170.
    3. Barone, Giorgio & Frangopol, Dan M., 2014. "Reliability, risk and lifetime distributions as performance indicators for life-cycle maintenance of deteriorating structures," Reliability Engineering and System Safety, Elsevier, vol. 123(C), pages 21-37.
    4. Chi Zhang & Ali Mostashari, 2011. "Influence of component uncertainty on reliability assessment of systems with continuous states," International Journal of Industrial and Systems Engineering, Inderscience Enterprises Ltd, vol. 7(4), pages 542-552.
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    Cited by:

    1. Sainath G. Bidikar & Santosh B. Rane & Prathamesh R. Potdar, 2022. "Product development using Design for Six Sigma approach: case study in switchgear industry," 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. 13(1), pages 203-230, February.

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