Reliability Analysis of an Elevator System Under Resume Repair Policy

Authors

  • Shristi Kharola Department of Mathematics, Graphic Era (Deemed to be University), Dehradun, Uttarakhand, India
  • Mangey Ram Department of Mathematics & Computer Science Engineering, Graphic Era (Deemed to be University), Dehradun, Uttarakhand, India
  • Shivani Singh Department of Applied Science and Humanities, Roorkee Institute of Technology, Roorkee, India

DOI:

https://doi.org/10.13052/jgeu0975-1416.1418

Keywords:

Reliability, priority repair, mean time to failure (MTTF), resume repair, availability

Abstract

In day-to-day life, elevators and lift systems have become essential for one’s daily operations. It is therefore important to guarantee its reliability and efficiently prioritise repairs of any kind. In this study, for an elevator system, two types of failures are considered. The first is the critical failure of the elevator brought on either by a power issue or mechanical wear. The second is the non-critical failure caused by minor electrical failures like lighting system failure. Since electrical or lighting failures can be temporarily controlled, the critical failure is given priority in system repairs. This study shows how the preemptive resume repair model can be applied to the general maintenance of an elevator system. The primary objective of this study is to assess the reliability parameters under the resume repair policy.

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Author Biographies

Shristi Kharola, Department of Mathematics, Graphic Era (Deemed to be University), Dehradun, Uttarakhand, India

Shristi Kharola received her Ph.D. in Mathematics from Graphic Era (Deemed to be University), Dehradun, India. Her research interests lie in the areas of Reliability Theory of Engineering, Multi-Criteria Decision-Making (MCDM) techniques, and sustainable systems, with a strong multidisciplinary research orientation. She joined the Department of Mathematics, Graphic Era (Deemed to be University), as an Assistant Professor (Research) in 2023. As of 2025, she has presented her research work at nine international conferences and continues to actively engage in international research dissemination. Dr. Kharola has contributed as a Junior Research Fellow (JRF) in an international collaborative research project on sustainable development involving institutions from India, Turkey, and the United Kingdom, funded by USERC, India. She serves as an Early Career Editorial Board Member of the International Journal of Mathematical, Engineering and Management Sciences. She has published extensively in National and International Journals of her domain.

Mangey Ram, Department of Mathematics & Computer Science Engineering, Graphic Era (Deemed to be University), Dehradun, Uttarakhand, India

Mangey Ram is a Professor of Mathematics and Dean (Research Collaborations) at Graphic Era (Deemed to be University), Dehradun, India. He received his Ph.D. in Mathematics (major) with Computer Science (minor) from G. B. Pant University of Agriculture and Technology, Pantnagar, India, in 2008. His research interests include reliability theory, operations research, optimization techniques, and applied mathematics. Prof. Ram has published extensively in reputed international journals and with leading publishers. He serves as Editor-in-Chief and Editorial Board Member of several international journals and is a Series Editor for multiple book series with Elsevier, CRC Press (Taylor & Francis), De Gruyter, and River Publishers. He is a Senior Member of IEEE and a recipient of several prestigious research and academic awards, including the Excellence in Research of the Year Award (2025).

Shivani Singh, Department of Applied Science and Humanities, Roorkee Institute of Technology, Roorkee, India

Shivani Singh received her B.Sc. and M.Sc. degree in mathematics from Hemwati Nandan Bahuguna, Garhwal University, Uttarakhand, India in 2016 and 2018. She received her Ph.D. degree in Mathematics from Graphic Era Deemed to be University, Dehradun, India. Earlier, she worked as an Assistant Professor in department of mathematics department at Graphic Era Deemed to be University, Dehradun, India. Currently, she is working as an Assistant Professor in department of applied sciences and humanities at Roorkee Institute of Technology, Roorkee, India. She has published research articles and book chapters with IEEE, EDP Sciences, Cambridge Scientific publishers, CRC press and Taylor and Francis. Her research interests are reliability theory, multi-state systems, Markov process and applied mathematics.

References

Yao, W., Jagota, V., Kumar, R., Ather, D., Jain, V., Quraishi, S. J., and Osei-Owusu, J. (2022). Study and application of an elevator failure monitoring system based on the internet of things technology. Scientific Programming, 2022(1), 2517077.

Huang, Q., Cao, J., and Sun, R. (2020, August). Design and implementation of an elevator power failure warning system. In Journal of Physics: Conference Series, 1621(1), p. 012050. IOP Publishing.

Yuan, L., and Meng, X. Y. (2011). Reliability analysis of a warm standby repairable system with priority in use. Applied Mathematical Modelling, 35(9), 4295–4303.

Chopra, G. (2023). Stochastic Model for Linear Consecutive 2-out-of-3: G System with Pre-emptive Priority Resume Repair. International Journal of Mathematics Trends and Technology, 69.

Singh, V. V., and Ayagi, H. I. (2018). Stochastic analysis of a complex system under preemptive resume repair policy using Gumbel-Hougaard family copula. International Journal of Mathematics in Operational Research, 12(2), 273–291.

Chander, S., and Bhardwaj, R. K. (2009). Reliability and economic analysis of 2-out-of-3 redundant system with priority to repair. African J. of Maths and Comp. Sci., 2(11), 230–236.

Goyal, A., Sharma, S. K., and Gupta, P. (2009). Availability analysis of a part of rubber tube production system under preemptive resume priority repair. International Journal of Industrial Engineering, 16(4), 260–269.

Tiwari, N., and Singh, S. B. (2015). Analysis of a risky two unit system under marked process incorporating two repairmen with vacations. Journal of Risk Analysis and Crisis Response, 5(4), 200–214.

Gao, S., Wang, J., and Chen, Q. (2025). Reliability Evaluation for a Circular Con/k/n: F System With a Novel Differential Repair Policy. IEEE Transactions on Reliability.

Jo, J. S., Kim, S. P., Oh, S. G., Kim, T. J., Kang, F. S., and Park, S. J. (2024). Markov model-based reliability analysis considering the redundancy effect of modular converters. IEEE Access, 12, 3328–3338.

Fang, J., Jiang, F., Liu, Y., and Yang, J. (2020). Copula-based Markov process. Insurance: Mathematics and Economics, 91, 166–187.

Gahlot, M., Singh, V. V., Ayagi, H., and Abdullahi, I. (2020). Stochastic analysis of a two units’ complex repairable system with switch and human failure using copula approach. Life Cycle Reliability and Safety Engineering, 9(1), 1–11.

Lytal., Reiter., Smith., lovey., and Fronrath. March 28 (2024). Elevator accidents are more common than you think. For Your Rights. https://www.foryourrights.com/blog/elevator-accidents-are-more-common-than-you-think/.

Singh, V. V., and Ayagi, H. I. (2018). Stochastic analysis of a complex system under preemptive resume repair policy using Gumbel-Hougaard family copula. International Journal of Mathematics in Operational Research, 12(2), 273–291.

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Published

2026-02-17

How to Cite

Kharola, S., Ram, M., & Singh, S. (2026). Reliability Analysis of an Elevator System Under Resume Repair Policy. Journal of Graphic Era University, 14(01), 251–270. https://doi.org/10.13052/jgeu0975-1416.1418

Issue

2026: Vol 14 Iss 1

Section

Articles