Preview

Chebyshevskii Sbornik

Advanced search

Stochastic analysis to mechanical system to its reliability with varrying repairing services

https://doi.org/10.22405/2226-8383-2021-22-1-92-104

Abstract

Reliability is enhancing its value in the advancement of echanical and industrial world by incorporating the repair mechanism, availability and manufacturing possibility of machines with varying working capacity in all conditions. The present paper is an initiative taken with a mechanical system operating with single repair server facility for varying nature of failures and services. Passive standby machine strategy is adopted for maintaining reliability at a gratified level in the system. The inspection process is included for filtering the machines according to its failure or to the level of repair services. The computed numerical and raphical data is proved to be beneficial for clarifying the profit and reliability behaviour with increasing/decreasing rate of repair mechanism and failure rate. The preference policy has been initiated for regular failure or to the failure requiring normal servicing charges and time period than major ones to avoid
the waiting time for normal customer

About the Authors

Jasdev Bhatti
Chitkara University Institute of Engineering and Technology, Chitkara University
Russian Federation

Associate Professor



Mohit Kumar Kakkar
Chitkara University Institute of Engineering and Technology, Chitkara University
Russian Federation

Professor



Manpreet Kaur
Chitkara University Institute of Engineering and Technology, Chitkara University
Russian Federation

Assistant Professor



Deepika .
Chitkara University Institute of Engineering and Technology, Chitkara University
Russian Federation

Assistant Professor



Pankaj Khanna
Chitkara University Institute of Engineering and Technology, Chitkara University
Russian Federation


References

1. Bhardwaj, N., Kumar, A. & Kumar, S. 2008, “Stochastic analysis of a single unit redundant system with two kinds of failure and repairs“, Reflections des. ERA-JMS, vol. 3, no. 2, pp. 115–134.

2. Bhardwaj, N. 2009, “Analysis of two-unit redundant system with imperfect switching and connection time“, International Transactions in Mathematical Sciences and Computer, nol. 2,

3. no. 2, pp. 195–202.

4. Haggag, M. Y. 2009, “Cost analysis of a system iInvolving common cause failures and preventive maintenance“, J. Math and Stat., vol. 5, no. 4, pp. 305-310.

5. Haggag, M. Y. 2009, “Cost analysis of two-dissimilar unit cold standby system with three states and preventive maintenance using linear first order differential equations“, J. Math and Stat.,

6. vol. 5, no. 4, pp. 395-400.

7. Rizwan, S. M., Khurana, V. & Taneja, G. 2010, “Reliability analysis of a hot standby industrial system“, International Journal of Modelling and Simulation, vol. 30, no. 3, pp. 315-322.

8. Kumar, A. & Malik, S. C. 2012, “Reliability modeling of a computer system with priority to S/w replacement over H/w replacement subject to MOT and MRT“, International Journal of

9. Pure and Applied Mathematics, vol. 80, no. 5, pp. 693-709.

10. Singh, D. & Taneja, G. 2014, “Reliability and economic analysis of a power generating system comprising one gas and one steam turbine with random inspection“, Journal of Mathematics and Statistics, vol. 10, no. 4, pp. 436-442.

11. Malhotra, R. & Taneja, G. 2014, “Stochastic analysis of a two-unit cold standby system wherein both units may become operative depending upon the demand“, Journal of Quality

12. and Reliability Engineering, pp. 1-13.

13. Malhotra, R. & Taneja, G. 2015, “Comparative study between a single unit system and a two unit cold standby system with varying demand“, SpringerPlus, vol. 4, pp. 1-17.

14. Bhatti, J., Chitkara, A. & Kakkar, M. 2014, “Stochastic analysis of parallel system with two discrete failures“, Model Assisted Statistics and Applications, vol. 9, pp. 257-265.

15. Kakkar, M. K. & Bhatti, J. 2015, “Reliability and profit analysis of standby unit system with correlated life time in an industry“, Advance Study in Contemporary Mathematics, vol. 25, no.

16. , pp. 333-340.

17. Kakkar, M. K., Chitkara, A. K. & Bhatti, J. 2015, “Reliability analysis of two-unit parallel repairable industrial system“, Decision Science Letters, vol. 4, pp. 525-536.

18. Kakkar, M. K., Chitkara, A.K. & Bhatti, J. 2016, “Reliability analysis of two dissimilar parallel unit repairable system with failure during preventive maintenance“, Management Science

19. Letters, vol. 6, pp. 285-296.

20. Bhatti, J., Chitkara, A. & Kakkar, M. 2016, “Stochastic analysis of dis-similar standby system with discrete failure, inspection and replacement policy“, Demonstratio Mathematica, vol. 49, no. 2, pp. 224-235.

21. Hua, D. G. & Elsayed, E. 2016, “Reliability estimation of k-out-of-npairs: G balanced systems with spatially distributed units“, IEEE Trans. Reliab., vol. 65, pp. 886—900.

22. Hua, D. G. & Elsayed, E. 2016, “Degradation analysis of k-out-of-n pairs: G balanced systems with spatially distributed units“, IEEE Trans Reliab., vol. 65, pp. 941–956.

23. Iqbal, P. & Uduman, P. S. S. 2016, “Reliability analysis of paper plant using boolean function with fuzzy logic technique“, International Journal of Applied Engineering Research, vol. 11, no. 1, pp. 573-577.

24. Taj, S. Z., Rizwan, S. M., Alkali, B. M., Harrison, D. K. & Taneja, G. 2017, “Probabilistic modeling and analysis of a cable plant subsystem with priority to repair over preventive maintenance“, I-Managers Journal on Mathematics, vol. 6, no. 3, pp. 12-21.

25. Adlakha, N., Taneja, G. & Shilpi. 2017, “Reliability and cost-benefit analysis of a two-unit cold standby system used for communication through satellite with assembling and activation time“, International Journal of Applied Engineering Research, vol. 12, no. 20, pp. 9697-9702.

26. Cui, L. R., Gao, H. D. & Mo Y. C. 2017, “Reliabilities for k-out-of-n: F balanced systems with m sectors“, IISE Trans., vol. 50, no. 5, pp. 381–393.

27. Cui, L. R., Chen, J. H. & Li, X. C. 2018, “Balanced reliability systems under Markov processes“, IISE Trans., vol. 51, no. 9, pp. 1025-1035.

28. Endharta, A. J., Yun, W. Y. & Ko, Y. M. 2018, “Reliability evaluation of circular k-out-of-n:G balanced systems through minimal path sets“, Reliability Engineering and System Safety, vol. 180, pp. 220-236.

29. Chen, W. L. 2018, “System reliability analysis of retrial machine repair systems with warm standbys and a single server of working breakdown and recovery policy“, System Engineering, vol. 21, pp. 59–69.

30. Bhardwaj, S., Bhardwaj, N., Kumar V. & Parashar, B. 2019, “Estimation of lifespan of diesel locomotive engine“, Journal of Information and Optimization Sciences, vol. 40, no. 5, pp. 1097-

31.

32. Dong, Q. L., Cui, L. R. & Si, S. B. 2019, “Reliability and availability analysis of stochastic degradation systems based on bivariate wiener processes“, Appl. Math. Model, vol. 79, pp.

33. –433.

34. Wu, H., Li, Y. F. & B´erenguer, C. 2019, “Optimal inspection and maintenance for a repairable k -out-of-n: G warm standby system“, Reliability Engineering and System Safety, vol. 193, pp.

35. -11.

36. Jia, H.P., Ding, Y., Peng, R., Liu, H. L. & Song, Y. H. 2019, “Reliability assessment and activation sequence optimization of non-repairable multi-state generation systems considering

37. warm standby“, Reliability Engineering and System Safety, vol. 195, pp. 1-11.

38. Fang, C. & Cui, L. 2019, “Reliability analysis for balanced engine systems with m sectors by considering start-up probability“, Reliability Engi-neering and System Safety, vol. 197, pp. 1-10.

39. Kakkar, M. K, Bhatti, J, Malhotra, R., Kaur, M. & Goyal, D. 2019, “Availability analysis of an industrial system under the provision of replacement of a unit using genetic algorithm“,

40. International Journal of Innovative Technology and Exploring En-gineering (IJITEE), vol. 9, pp. 1236–1241.

41. Bhatti, J. & Kakkar, M. K. 2020, “Reliability analysis of cold standby parallel system possessing failure and repair rate under geometric distribution“, Recent Advances in Computer Science and Communications, vol. 13, pp. 1-7.


Review

For citations:


Bhatti J., Kumar Kakkar M., Kaur M., . D., Khanna P. Stochastic analysis to mechanical system to its reliability with varrying repairing services. Chebyshevskii Sbornik. 2021;22(1):92-104. (In Russ.) https://doi.org/10.22405/2226-8383-2021-22-1-92-104

Views: 393


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2226-8383 (Print)