Effect of Load on Sequential Imperfect Preventive Maintenance and Replacement Schedules of Mechanically Repairable Machines

Authors

  • Nse Udoh Department of Statistics, University of Uyo, Nigeria
  • Iniobong Uko Department of Statistics, University of Uyo, Nigeria
  • Kufre Bassey Central Bank of Nigeria, Nigeria

DOI:

https://doi.org/10.13052/jrss0974-8024.1628

Keywords:

Load, mechanically repairable systems, preventive maintenance, preventive replacement, Weibull distribution

Abstract

This paper examines the impact of load on the operational time and maintenance cost of mechanically repairable machines. Three different levels of load with multiplicative impact on the hazard rate of the failure distribution were applied to the working of a cassava grinding machine using a two-parameter Weibull distribution with respective hazard and cumulative hazard functions. Their effect on the preventive maintenance (PM) and replacement schedules revealed that at above maximum load level, the length of the machine’s operational time decreased drastically compared to the decrease at maximum load level and relative decrease at the below maximum load level when compared to the machine’s operational time at the minimum load level. The application of load also results in frequent preventive maintenance actions and an increase in machine downtime for a given cost ratio. This implies that the influence of load on the PM and replacement maintenance schedule of mechanically repairable machines is essential to the design and operation of such machines. The results also provide maintenance engineers with an operational guide for PM and replacement maintenance actions in order to prevent failure maintenance and increase the machine’s availability for enhanced productivity.

Downloads

Download data is not yet available.

Author Biographies

Nse Udoh, Department of Statistics, University of Uyo, Nigeria

Nse Udoh is a Lecturer in the department of Statistics, University of Uyo, Nigeria. He holds a B.Sc. (Hons) degree (1995) in Statistics from University of Uyo, M.Sc. degree (2002) in Statistics and Operations Research from University of Nigeria, Nsukka and a PhD (2016) in Statistics with specialty in Operations Research from University of Calabar, Nigeria. His current research area is Operations Research with special interest in Maintenance Theory of Reliability where a good number of his researches and publications are done. He has taught Operations Research and Optimization courses at both undergraduate and graduate levels in the university and has supervised many graduate students’ Dissertations and Thesis. He is also the author of “Optimization Methods”.

Iniobong Uko, Department of Statistics, University of Uyo, Nigeria

Iniobong Uko is a PhD student in the department of Statistics, University of Uyo. He Obtained his B.Sc. (Hons) degree (2019) in Statistics from university of Uyo where he also obtained his M.Sc. degree (2023) in Statistics with interest in Operations Research-Maintenance Theory of Reliability. He is currently a Research Assistant in the department of Statistics and has published many journal articles to his credit.

Kufre Bassey, Central Bank of Nigeria, Nigeria

Kufre Bassey is a Principal Statistician with the Central Bank of Nigeria. He has B.Sc. (Hons) degree (1999) in Statistics from University of Uyo, M.Sc. (2002) in Statistics from University of Nigeria, Nsukka and a PhD degree (2014) in Operations Research with specialty in decision theory also from University of Nigeria, Nsukka. He has taught Operations Research in the university at both undergraduate and graduate levels and has undergone several trainings on statistical economics/econometrics, as well as project management and evaluation. His current research interest is in project management and survey methodology.

References

Amari, S. V. and Bergman, R. (2008). Reliability analysis of k-out-of-n

load-sharing systems. Reliability and Maintainability Symposium. IEEE, 440–445.

Amari, S. V., Misra, K. B. and Pham, H. (2008). Tampered failure rate load-sharing systems: Status and Perspectives. Handbook of Performability Engineering, Springer, London.

Basri, E. I, Rasak, I. H. A., Ab-Samat, H. and Kamaruddin, S. (2017). Preventive maintenance (PM) planning: A review. Journal of Quality in Maintenance Engineering and System Safety, 23:114–143.

Dixon, C. and Kajtaz, M. (2021). Designing mechanical engineering supply systems involving considerations of load profile, storage and load factor. In Mechanical Design: Design of a Compressed Air Supply System for a Factory. RMIT University in partnership with Informit Open. https://search.informit.org/doi/10.3316/informit.947113947215097.

Lin, D., Zuo, M. J. and Yam, R. C. M. (2000). General sequential imperfect preventive maintenance models. International Journal of Reliability, Quality and Safety Engineering, 7(3): 253–266.

Liu, B., Xie, M. and Kuo, W. (2016). Reliability modeling and preventive maintenance of load-sharing systems with degrading components. IIE Transactions, 48(8), pp. 699–709.

Liu, H. (1998). Reliability of a load-sharing k-out-of-n:G system: Non-iid components with arbitrary distributions. IEEE Transactions on Reliability, 47(3): 279–284.

Gao, W., Ji, H., Wang, Y. and Yang T. (2019). A Non-linear preventive maintenance model with an environmental factor based Weibull distribution, IOP conf. Ser.: Mater. Sci. Eng. 521 012009.

Gurov, S. V. and Utkin, L. V. (2014). A load-share reliability model under the changeable piecewise smooth load. Journal of Quality and Reliability Engineering, Article ID 971489, 11 pages.

Moghaddam, K. S. and Usher, J. S. (2011). Preventive maintenance and replacement scheduling for repairable and maintainable systems using dynamic programming. Computers & Industrial Engineering, 60(4): 654–665.

Mohammad, R., Kalam, A. and Amari, S. V. (2013). Reliability of load-sharing systems subject to proportional hazard model. Reliability and Maintainability Symposium (RAMS), 28(31): 1–5.

Nakagawa, T. (1986). Periodic and sequential imperfect preventive maintenance policies. Journal of Applied Probability, 23: 536–542.

Nakagawa, T. (1988). Sequential imperfect preventive maintenance policies. IEEE Transactions on Reliability, 37(3): 295–298.

Strunk, R., Borchers, F., Clausen, B. and Heinzel C. (2021). Influence of subsequently applied mechanical and thermal loads on surfaces ground with mechanical main impact. Materials (Basel), 14(9), 2386.

Sun, L., Long, Y., Li, X., Jiang, Z., Fan, Y, Wang, Z. and Han, X. (2023). Effect of loading rates on mechanical properties of weakly cemented sandstone. Sustainability, 15(3), 2750.

Udoh, N. S. and Ekpenyong, E. J. (2019). Sequential imperfect preventive replacement Schedule for 8hp-pml gold engine cassava grinding machine. International Journal of Statistics and Reliability Engineering, 6(1): 13–18.

Udoh, N. and Effanga E. (2023). Geometric imperfect preventive maintenance and replacement (GIPMAR) model for aging repairable systems, International Journal of Quality and Reliability Management, 40(2): 566–581.

Udoh, N and Uko, I. (2023). Preventive maintenance and replacement models for mechanically repairable systems with linearly increasing hazard rate. Design, Construction, Maintenance-WSEAS, 19(3): 208–215.

Xiao, H., Peng, R., Wang, W. and Zhao, F. (2016). Optimal element loading for linear sliding window system, Journal of Risk and Reliability, 230(1): 75–84.

Xue, W., Zhang, H, Li, H and Xu, W. (2021). Effect of early load age loading on the subsequent mechanical and permeability properties of concrete and its mechanism analysis. Journal of Materials Research and Technology, 14: 1208–1221.

Downloads

Published

2024-03-27

How to Cite

Udoh, N., Uko, I., & Bassey, K. (2024). Effect of Load on Sequential Imperfect Preventive Maintenance and Replacement Schedules of Mechanically Repairable Machines. Journal of Reliability and Statistical Studies, 16(02), 337–356. https://doi.org/10.13052/jrss0974-8024.1628

Issue

2023: Vol 16 Iss 2

Section

Articles