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Mathematical modelling and performance analysis of screening unit in paper plant

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  • Nitin Panwar

    (J.C. Bose University of Science and Technology, YMCA)

  • Sanjeev Kumar

    (J.C. Bose University of Science and Technology, YMCA)

Abstract

In the current paper the steady state availability of a screening system of paper plant is suggested with the help of mathematical modelling based on Markov birth–death process using probabilistic approach. The paper plant consists of several units like feeding, pulping, washing and bleaching, screening and paper making unit. Out of the following units screening unit is the most significant functional unit of paper plant which consist of four repairable subunits which are arranged in series. Using Markov birth–death process transition diagram is plotted to formulate the mathematical differential equations to do the performance analysis of screening system in terms of availability matrices which are based upon failure rate and repair rate. With the help of these availability matrices critical subsystem is identified. For evaluating the maintenance criticality of failure causes a methodology based on AHP-VIKOR is proposed.

Suggested Citation

  • Nitin Panwar & Sanjeev Kumar, 2022. "Mathematical modelling and performance analysis of screening unit in paper 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. 13(5), pages 2751-2763, October.
  • Handle: RePEc:spr:ijsaem:v:13:y:2022:i:5:d:10.1007_s13198-022-01748-5
    DOI: 10.1007/s13198-022-01748-5
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    References listed on IDEAS

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    1. M. S. Kadyan & Ramesh Kumar, 2017. "Availability and profit analysis of a feeding system in sugar 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. 8(1), pages 301-316, January.
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    3. Chemweno, Peter & Pintelon, Liliane & Van Horenbeek, Adriaan & Muchiri, Peter, 2015. "Development of a risk assessment selection methodology for asset maintenance decision making: An analytic network process (ANP) approach," International Journal of Production Economics, Elsevier, vol. 170(PB), pages 663-676.
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    6. Parveen Kumari & Mukender Singh Kadyan & Jitender Kumar, 2019. "Profit analysis of butter-oil (ghee) producing system of milk plant using supplementary variable technique," 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. 10(6), pages 1627-1638, December.
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    8. Jagtap, Hanumant P. & Bewoor, Anand K. & Kumar, Ravinder & Ahmadi, Mohammad Hossein & Chen, Lingen, 2020. "Performance analysis and availability optimization to improve maintenance schedule for the turbo-generator subsystem of a thermal power plant using particle swarm optimization," Reliability Engineering and System Safety, Elsevier, vol. 204(C).
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