基于POMDP模型的检修与备件库存联合优化

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中图分类号：TH17；O224

DOI：10.3969/j.issn.1004-132X.2025.08.020 开放科学（资源服务）标识码（OSID）：

Abstract： In the research direction of joint optimization of maintenance and spare parts inventory ， most of the existing research assumed that the system condition monitoring was perfect and ignored the detection errors in practical applications.In order to solve the above problems，a single-component system containing imperfect condition monitoring and fixed inspection and maintenance intervals was studied，and the condition-based maintenance（CBM） and spare parts inventory management problems of the systems were considered.POMDP were used to model the system and derive the system state transfer probabilities.In order to deal with the complex belief state spaces and improve the algorithm solution eficiency，an improved Perseus algorithm was used. In the numerical case section，the effectiveness of the algorithm was verified，and then the optimal policy structure was analyzed to show that the belief states may represent the state information relatively reasonably compared with the observations，and the effectiveness of the spare parts inventory is also demonstrated by comparing the cases without spare parts inventory.

Key words： imperfect condition monitoring； partially observable Markov decision processes （POMDP）；belief state;joint optimization of maintenance and spare parts inventory

0 引言

维修与备件库存的联合优化问题是目前设备健康管理领域的研究热点[1。（剩余17153字）