Optimal scheduling imperfect maintenance policy for a system with multiple random works

Abstract

This paper investigates a scheduling imperfect maintenance policy for an operating system that works at random times for multiple jobs (n tandem jobs or n parallel jobs). We consider the system suffers from type-I failure which is corrected by a minimal repair, or type-II failure, which is disaster and is eliminated by a corrective maintenance. To control the deterioration process, preventive maintenance is design to go through at a scheduling time T or the completion of multiple jobs, whichever occurs last. Each maintenance is performed imperfectly, the system improves yet its failure characteristic is also changed after maintenance. Lastly, the system is displaced at the N-th maintenance. On the basis minimizes the mean cost rate, this paper derived the optimal scheduling parameters (T*, n*, N*) analytically and numerically, according to its existence and uniqueness. The models we proposed will provide a general structure for maintenance theory of reliability.

Keywords:

• Imperfect maintenance
• minimal repair
• replacement
• random work
• scheduling
• optimization

Acknowledgments

The authors would like to thank the referees for their insightful comments and suggestions, which greatly enhanced the clarity of the article. All of the suggestions were incorporated directly in the text.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Informed consent

Informed consent was obtained from all individual participants included in the study.

Research involving human participants and/or animals

This article does not contain any studies with human participants performed by any of the authors.

Data availability statement

The authors can confirm that the data for tables are provided with the paper and no data from the literature was used.

Additional information

Funding

This research was supported by the National Science and Technology Council of Taiwan, ROC, under Grant No. NSTC 108-2410-H-147-005 and NSTC 108-2410-H-147-006.