| Related citation: | Zuhua Jiang,Jiawen Hu,Hongming Zhou,Peiwen Ding,Jiankun Liu.Joint Optimization of Imperfect Preventive Maintenance and ProductionScheduling for Single Machine Based on Game Theory Method[J].Journal of Harbin Institute Of Technology(New Series),2023,30(4):15-24.DOI:10.11916/j.issn.1005-9113.22018. |
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| Author Name | Affiliation | | Zuhua Jiang | School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 201100, China | | Jiawen Hu | School of Aeronautics and Astronautics, University of Electronic Science and Technology of China, Chengdu 611731, China | | Hongming Zhou | School of Mechanical and Electrical Engineering, Wenzhou University, Wenzhou 325035, Zhejiang, China | | Peiwen Ding | School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 201100, China | | Jiankun Liu | School of Mechanical Engineering, Shanghai Jiao Tong University, Shanghai 201100, China |
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| Abstract: |
| In this study, an optimization model of a single machine system integrating imperfect preventive maintenance planning and production scheduling based on game theory is proposed. The costs of the production department and the maintenance department are minimized, respectively. Two kinds of three-stage dynamic game models and a backward induction method are proposed to determine the preventive maintenance (PM) threshold. A lemma is presented to obtain the exact solution. A comprehensive numerical study is provided to illustrate the proposed maintenance model. The effectiveness is also validated by comparison with other two existed optimization models. |
| Key words: game theory imperfect preventive maintenance production scheduling single machine system |
| DOI：10.11916/j.issn.1005-9113.22018 |
| Clc Number:TH17 |
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| Descriptions in Chinese: |
| 基于博弈论的单机非完美预防性维护和生产调度的联合优化 蒋祖华1，胡家文2，周宏明3，丁佩雯1，刘剑坤1 （1.上海交通大学 机械与动力工程学院，上海 201100；2. 电子科技大学 航空航天学院（空天科学技术研究院），成都 611731；3.温州大学 机电工程学院，浙江 温州 325035） 摘要：本文提出一个基于博弈论的单机系统的优化模型，该模型整合了非完美预防性维护计划和生产调度，以生产部门和维修部门的成本最小化为目标。针对该问题提出了两种三阶段动态博弈模型，通过逆向归纳法来确定预防性维修阈值，同时提出一个定理来获得精确解。通过详细的数值研究来验证提出的维护模型，并与其它两种现有的优化模型进行比较，结果论证了其有效性。 关键词：博弈论；非完美维护；生产调度；单机系统 |
