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Mathematical modelling and performance analysis of screening unit in paper plant

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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.

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Correspondence to Nitin Panwar.

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Panwar, N., Kumar, S. Mathematical modelling and performance analysis of screening unit in paper plant. Int J Syst Assur Eng Manag 13, 2751–2763 (2022). https://doi.org/10.1007/s13198-022-01748-5

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