Mathematical model for analysing availability of threshing combine machine under reduced capacity
DOI:
https://doi.org/10.2298/YJOR220315019SKeywords:
Availability, supplementary variable technique, mean time to failure, meantime between failure, maintainability, mathematical modeling, reliabilityAbstract
Obtaining system availability in an engineering design is trickish and challenging, especially when there is a reduction in capacity; however, it supports system maintainability. In this paper, a mathematical model for finding the availability under the reduced capacity has been proposed using the Chapman Kolmogorov approach with the help of transition diagrams associated with various possible combinations of probabilities. The paper observes the most critical subsystem by selecting variable failure and repair rates from different subsystems. It deals with the sensitivity analysis of a complex repairable threshing combined machine comprising subsystems in a series configuration and the threshing machine consisting of 21 subsystems. The device works in total capacity when the threshing drum and feeding Hooper work in the complete state, and the concave subsystem and blower work with reduced power. This study dealt with uncertain data and was analyzed analytically using a complex repairable system. The availability of the entire machine has been investigated analytically, and various availability indices such as subsystems extruder have been computed and reported. The study discovered that subsystem extruder has the most impact on some subsystems’ overall system availability.References
D. R. Cox, “The analysis of non-markovian stochastic processes by the inclusion of supplementary variables,” in Mathematical Proceedings of the Cambridge Philosophical Society, vol. 51, no. 3. Cambridge University Press, 1955, pp. 433-441.
S. Shakuntla, A. Lal, S. Bhatia, and J. Singh, “Reliability analysis of polytube industry using supplementary variable technique,” Applied Mathematics and Computation, vol. 218, no. 8, pp. 3981-3992, 2011.
T. Yang, C. Cui, Y. Shen, and Y. Lv, “A novel denitration cost optimization system for power unit boilers,” Applied Thermal Engineering, vol. 96, pp. 400-410, 2016.
R. Kumar and P. Goel, “Availability analysis of banking server with warm standby,” 2016.
A. K. Aggarwal, V. Singh, and S. Kumar, “Availability analysis and performance optimization of a butter oil production system: a case study,” International Journal of System Assurance Engineering and Management, vol. 8, no. 1, pp. 538-554, 2017.
M. Ram and K. Nagiya, “Gas turbine power plant performance evaluation under key failures,” Journal of Engineering science and Technology, vol. 12, no. 7, pp. 1871-1886, 2017.
A. Kumar, D. Garg, and P. Goel, “Mathematical modeling and profit analysis of an edible oil refinery industry,” Airo Int Res J, vol. 12, pp. 1-8, 2017.
S. Kumari, P. Khurana, and S. Singla, “Behavior and profit analysis of a thresher plant under steady state,” International Journal of System Assurance Engineering and Management, vol. 13, no. 1, pp. 166-171, 2022.
A. Kumar, D. Garg, P. Goel, and O. Ozer, “Sensitivity analysis of 3: 4:: good system,” International Journal of Advance Research in Science and Engineering, vol. 7, no. 2, pp. 851-862, 2018.
A. Kumar, P. Goel, and D. Garg, “Behaviour analysis of a bread making system,” International Journal of Statistics and Applied Mathematics, vol. 3, no. 6, pp. 56-61, 2018.
J. Savolainen and M. Urbani, “Maintenance optimization for a multi-unit system with digital twin simulation,” Journal of Intelligent Manufacturing, vol. 32, no. 7, pp. 1953-1973, 2021.
A. Sharma, P. Ailawalia et al., “Ram (reliability, availability and maintainability) of threshing machine in agriculture,” Agriculture and Natural Resources, vol. 55, no. 6, pp. 1057- 1061, 2021.
S. D. Shelare, R. Kumar, and P. B. Khope, “Formulation of a mathematical model for quantity of deshelled nut in charoli nut deshelling machine,” in Advances in Metrology and Measurement of Engineering Surfaces. Springer, 2021, pp. 89-97.
S. Malik and P. Tewari, “Optimization of coal handling system performability for a thermal power plant using pso algorithm,” Grey Systems: Theory and Application, vol. 10, no. 3, pp. 359-376, 2020.
U. M. Modibbo, M. Arshad, O. Abdalghani, and I. Ali, “Optimization and estimation in system reliability allocation problem,” Reliability Engineering & System Safety, vol. 212, p. 107620, 2021.
A. K. Malik, S. K. Yadav, and S. R. Yadav, “Optimization techniques, i. k international pub,” Pvt. Ltd., New Delhi, 2012.
A. Malik, V. Kumar, and A. Malik, “Importance of operations research in higher education,” International Journal of Operations Research and Optimization, vol. 7, no. 1-2, pp. 35-40, 2016.
Y. S. Raghav, M. Mradula, R. Varshney, U. M. Modibbo, A. A. H. Ahmadini, and I. Ali, “Estimation and optimization for system availability under preventive maintenance,” IEEE Access, 2022.
M. F. Khan, U. M. Modibbo, N. Ahmad, and I. Ali, “Nonlinear optimization in bi-level selective maintenance allocation problem,” Journal of King Saud University-Science, vol. 34, no. 4, p. 101933, 2022.
Downloads
Published
Issue
Section
License
Copyright (c) YUJOR
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
