为具有经济和结构依赖性的多组件系统确定具有成本效益的维护政策的优化模型

IF 6.7 2区 管理学 Q1 MANAGEMENT Omega-international Journal of Management Science Pub Date : 2024-07-23 DOI:10.1016/j.omega.2024.103162
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引用次数: 0

摘要

在大多数多组件系统中,维护政策的成本效益取决于技术结构依赖性。我们认识到,在制定最佳维护政策时必须考虑到这些依赖关系,因此我们开发了一个优化模型,用于确定多组件系统具有成本效益的维护计划。我们的主要贡献有两方面。首先,我们引入了有向图作为表达工具,用于表示系统的经济和结构依赖关系,包括特定组件的维护可能需要拆卸或维护其他组件的情况。其次,我们建立了一个马尔可夫决策过程模型,通过改进的策略迭代算法来确定最具成本效益的策略。当系统出现故障或系统可靠性低于预定的可靠性阈值时,就必须进行强制更换,这时该策略就能指出哪些由拆卸和部件更换决策组成的维护行动是最优的。据我们所知,这是第一个提供符合可靠性要求的最优维护策略的模型,同时还存在由技术结构依赖性引起的约束条件。我们通过一个关于制定具有成本效益的维护策略的现实案例研究来说明该模型,并表明其结果优于启发式维护策略。
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An optimization model for determining cost-efficient maintenance policies for multi-component systems with economic and structural dependencies

In most multi-component systems, the cost-efficiency of maintenance policies depends on technical structural dependencies. Motivated by the recognition that these dependencies must be accounted for in the development of optimal maintenance policies, we develop an optimization model to determine cost-efficient maintenance schedules for multi-component systems. Our main contribution is twofold. First, we introduce directed graphs as an expressive tool to represent the economic and structural dependencies of the system, including situations in which the maintenance of a given component may require other components to be disassembled or maintained. Second, we formulate a Markov Decision Process model, which is solved through the modified policy-iteration algorithm to determine the most cost-efficient policy. This policy indicates which maintenance actions consisting of disassembly and component replacement decisions are optimal when mandatory replacements must be made whenever the system fails, or the reliability of the system falls below a predefined reliability threshold. To our knowledge, this is the first model that provides optimal maintenance policies that comply with reliability requirements in the presence of constraints arising from technical structural dependencies. We illustrate the model with a realistic case study on the development of cost-efficient maintenance policies and show that its results compare favorably with heuristic maintenance policies.

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来源期刊
Omega-international Journal of Management Science
Omega-international Journal of Management Science 管理科学-运筹学与管理科学
CiteScore
13.80
自引率
11.60%
发文量
130
审稿时长
56 days
期刊介绍: Omega reports on developments in management, including the latest research results and applications. Original contributions and review articles describe the state of the art in specific fields or functions of management, while there are shorter critical assessments of particular management techniques. Other features of the journal are the "Memoranda" section for short communications and "Feedback", a correspondence column. Omega is both stimulating reading and an important source for practising managers, specialists in management services, operational research workers and management scientists, management consultants, academics, students and research personnel throughout the world. The material published is of high quality and relevance, written in a manner which makes it accessible to all of this wide-ranging readership. Preference will be given to papers with implications to the practice of management. Submissions of purely theoretical papers are discouraged. The review of material for publication in the journal reflects this aim.
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