Optimal Task Abort and Maintenance Policies Considering Time Redundancy

Ke Chen, Xian Zhao and Qingan Qiu
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Ke Chen: School of Management & Economics, Beijing Institute of Technology, Beijing 100081, China
Xian Zhao: School of Management & Economics, Beijing Institute of Technology, Beijing 100081, China
Qingan Qiu: School of Management & Economics, Beijing Institute of Technology, Beijing 100081, China

Mathematics, 2022, vol. 10, issue 9, 1-16

Abstract: For many practical systems that are required to perform critical tasks, it is commonly observed that tasks can be performed multiple times within a limited time to improve task success probability. Such property is referred to as time redundancy. This paper contributes by studying the optimal adaptive maintenance and the task abort strategies of continuously degraded systems considering two kinds of time redundancy to improve system safety and task reliability. The task abort decision is considered dynamically according to the degradation level and the number of task attempts. Task success probability and system survival probability under two kinds of time redundancy are evaluated using an event-based numerical algorithm. The optimal imperfect maintenance and task abort thresholds are investigated dynamically in each attempt to minimize the expected total cost of maintenance, task failure and system failure. The established model in this study is illustrated by numerical results.

Keywords: task abort; time redundancy; task success probability; system survival probability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (9)

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