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Profit analysis of skimmed milk powder producing system of milk plant using trapezoidal fuzzy numbers with different left and right heights

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Abstract

Present paper carried out profit analysis of skimmed milk powder producing system of milk plant which consists of six subsystems—‘Chiller’, ‘Cream Separator’, ‘Skimmed Milk Pasteurizer’, ‘Vacuum Tube’, ‘Evaporators’ and ‘Drying Chamber’. All the six subsystems are connected in series. The subsystems include ‘Chiller’, ‘Cream Separator’, ‘Skimmed Milk Pasteurizer’ and ‘Vacuum Tube’ with each having a single unit. The subsystem ‘Evaporators’ consists of three similar units connected in parallel configuration and present subsystem works with reduced capacity on failure of one evaporator out of three and completely fails as soon as second unit fails out of three units of subsystem ‘Evaporators’. The subsystem ‘Drying Chamber’ having two similar units in which one is operative while other is in cold standby. Fuzzy failure rates and fuzzy repair rates of the subsystems of skimmed milk powder producing system are assumed to follow general distribution. Trapezoidal fuzzy numbers are employed to analyze the performance of skimmed milk powder producing system of milk plant. The numerical results for availability and profit of skimmed milk powder producing system have been evaluated for various choices of system parameters and cost by considering Exponential distribution, Rayleigh distribution and Weibull distribution.

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Acknowledgements

The authors are thankful to the reviewers for their valuable suggestions/comments that led to an improved presentation of this paper.

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Authors and Affiliations

  1. Department of Statistics and Operational Research, Kurukshetra University, Kurukshetra, India

    Parveen Kumari, M. S. Kadyan & Jitender Kumar

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  1. Parveen Kumari
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  2. M. S. Kadyan
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  3. Jitender Kumar
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Correspondence to Jitender Kumar.

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Kumari, P., Kadyan, M.S. & Kumar, J. Profit analysis of skimmed milk powder producing system of milk plant using trapezoidal fuzzy numbers with different left and right heights. Life Cycle Reliab Saf Eng 10, 387–401 (2021). https://doi.org/10.1007/s41872-021-00172-1

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  • DOI: https://doi.org/10.1007/s41872-021-00172-1

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