RELIABILITY MODELING AND STOCHASTIC EVALUATION OF A MACHINE OF VARIOUS UNITS WITH IMMEDIATE REPAIR OF FAILED UNIT

Authors:

Shakuntla Singla,Ritu Rani,Diksha Mangla,Umar Muhammad Modibbo,

DOI NO:

https://doi.org/10.26782/jmcms.2024.12.00010

Keywords:

Average time to system failure,reliability,Laplace transform,busy time,

Abstract

This article discusses the design reliability and quality of dairy products. Reliability and stochastic analysis of a dairy plant divided into two units using the regenerative method. At startup time, both units are in active mode. If one of the units fails, the system remains in active mode but goes into a reduced state. If both units fail, the system enters an invalid state. The distribution of the repair time is arbitrary in this system, whereas the malfunctioning time is exponentially distributed. With the data gathered from the milk plant, we assess average time to system failure, availability, busy time, and profitability through a mathematical analysis in this work that makes use of the Laplace transform, semi-Markov process, and regenerative point. Consequently, the conclusion of this paper helps plant managers make timely maintenance decisions and enhance the system’s overall performance.

Refference:

I. Adlakha, N., Taneja, G. and Batra, S. (2017). Reliability and cost-benefit analysis of a twounit cold standby system used for communication through satellite with assembling andactivation time. Int. J. Appl. Eng. Res., 12, pp.: 9697–9702. https://www.ripublication.com/ijaer17/ijaerv12n20_59.pdf

II. Ahmadini, A.A.H., Singla, S., Mangla, D., Modibbo, U.M. and Rani, S., 2024. Reliability Assessment and Profit Optimization of Multi-unit Mixed Configured System using ABC Algorithm under Preventive Maintenance. IEEE Access, Digital Object Identifier 10.1109/ACCESS.2024.3406994
III. Barak M.S., Garg R. and Kumar A. (2021), “Reliability measures analysis of a milk plant using RPGT”, Life Cycle Reliab Saf Eng 10, pp.: 295-302. 10.1007/s41872-020-00163-8
IV. Batra, S. and Taneja, G. (2018). A reliability model for the optimum number of standby units in a system working with two operative units. Ciencia e Tecnica, 33:0254-0223.

V. Batra, S. and Taneja, G. (2018). Optimization of number of hot standby units through reliability models for a system operative with one unit. International Journal of Agricultural and Statistical Sciences,14. https://www.researchgate.net/publication/329376891

VI. Batra, S. and Taneja, G. (2018). Reliability and optimum analysis for number of standby units in a system working with one operative unit. International Journal of Applied Engineering Research, 13: 2791-2797. https://www.ripublication.com/ijaer18/ijaerv13n5_93.pdf

VII. Batra, S. and Taneja, G. (2019). Reliability modeling and optimization of the number of hot standby units in a system working with two operative units. An international journal of advanced computer technology, 10:3059-3068. https://ijact.in/index.php/j/article/view/481/461

VIII. Garg R. (2020). Behavioural Analysis of single Unit System Using RPGT. Journal of Xi’an University of Architecture and Technology, pp.: 2723-2735. 20.19001.JAT.2020.XII.I2.20.2084

IX. Jain, M. and Gupta, R. (2013). Optimal replacement policy for a repairable system with multiple vacations and imperfect fault coverage. Comput. Ind. Eng., 66(4), pp. 710-719. 10.1016/j.cie.2013.09.011

X. John, Y.M., Sanusi, A., Yusuf, I. and Modibbo, U. M. (2022). Reliability analysis of multi-hardware-software system with failure interaction. J., 66, pp. 957-977. 10.47852/bonviewJCCE2202216

XI. Kumari S., Khurana P. and Singla S. (2022). Behavior and profit analysis of a thresher plant under steady state. Int J Syst Assur Eng Manag 13, pp.: 166-171. 10.1007/s13198-021-01183-y

XII. Levitin, G., Finkelstein, M., and Xiang, Y. (2020). Optimal preventive replacement for cold standby systems with elements exposed to shocks during operation and task transfers. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 10, pp.: 2168–2216. 10.1109/TSMC.2020.3034493

XIII. Mahmoud, M. A. W. and Moshref, M. E. (2009). On a two-unit cold standby system considering hardware, human error failures, and preventive maintenance. Math. Comput. Model., 51, pp.: 736–745. 10.1016/j.mcm.2009.10.019

XIV. Malhotra. and Taneja, G. (2015). Comparative study between a single unit system and a two-unit cold standby system with varying demand.Springerplus, 4, pp.: 1–17. 10.1186/s40064-015-1484-7

XV. Malhotra, R., Dureja, T., and Goyal, A. (2021). Reliability analysis a two-unit cold redundant system working in a pharmaceutical agency with preventive maintenance. In Journal of Physics: Conference Series, 10, pp.: 1742–1750. 10.1088/1742-6596/1850/1/012087

XVI. Manocha, A. and Taneja, G. (2015). Stochastic analysis of a two-unit cold standby system with arbitrary distributions for life, repair and waiting times. Int. J. Performability Eng., 11, pp.:293–299. 10.23940/ijpe.15.3.p293.mag

XVII. Manocha, A., Taneja, G. and Singh, S. (2017). Stochastic and cost-benefit analysis of two-unit hot standby database system. Int. J. Performability Eng., 13, pp.: 63–72. 10.23940/ijpe.17.01.p5.6372

XVIII. Modibbo, U. M., Arshad, M., Abdalghani, O. and Ali, I. (2021). Optimization and estimation in system reliability allocation problem. Rel. Eng. Syst. Saf., 212. 10.1016/j.ress.2021.107620

XIX. Raghav, Y.S., Mradula, Varshney, R., Modibbo, U.M, Ahmadini, ., A. A. H., and Ali, I. (2022). Estimation and optimization for system availability under preventive maintenance. IEEE Access, 10, pp.: 94337-94353. 10.1109/ACCESS.2022.3204394

XX. Singla, S. and Rani, S., 2023, November. Performance Optimization of 3: 4:: Good System. Second International Conference on Informatics (ICI) IEEE, pp.: 1-4. https://iciconference.org/

XXI. Singla S., Mangla, D., Panwar, P. and Taj, S. Z. (2024). Reliability optimization of a degraded system under preventive maintenance using genetic algorithm,” J. Mech. Continua Math. Sci., 2024. 10.26782/jmcms.2024.01.00001

XXII. Singla S, Mangla D, Kumar M. A., Muhammad M.U. (2024). Reliability optimization methods: A systematic literature review. Yugoslav Journal of Operations Research. 10.2298/YJOR230715031S

XXIII. Singla, S., Rani, S., Modibbo, U. M. and Ali, I. (2023). Optimization of system parameters of 2:3 good serial system using deep learning. Rel., Theory Appl., pp. 670-679. 10.24412/1932-2321-2023-476-670-679

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