| 引用本文: | 周炳海,陶红玉,綦法群.带随机突变的两阶段退化系统视情维修建模[J].哈尔滨工业大学学报,2016,48(1):87.DOI:10.11918/j.issn.0367-6234.2016.01.013 |
| ZHOU Binghai,TAO Hongyu,Qi Faqun.Condition-based maintenance modeling for two-stage deteriorating systems with random change[J].Journal of Harbin Institute of Technology,2016,48(1):87.DOI:10.11918/j.issn.0367-6234.2016.01.013 |
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| 摘要: |
| 为深入研究系统两阶段随机退化及环境变化对退化过程的影响，构建两阶段退化模型.将系统的退化过程分为退化点的产生与退化点的生长两个阶段，分别采用非齐次Poisson过程和非定态Gamma过程进行建模.引入环境影响因子，研究环境变化对系统退化过程的影响，建立带随机突变的两阶段退化模型，对视情维修进行建模研究.实验分析单阶段与两阶段退化模型在不同环境影响因子下，系统期望成本与检测间隔时间之间的关系以及寿命分布.结果表明，提出的建模方法对解决随机退化系统维修决策问题有效、实用.
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| 关键词: 视情维护 随机突变 gamma 过程 Poisson过程 随机退化 两阶段退化 |
| DOI：10.11918/j.issn.0367-6234.2016.01.013 |
| 分类号:TP16 |
| 文献标识码:A |
| 基金项目:国家自然科学基金(61273035； 71471135). |
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| Condition-based maintenance modeling for two-stage deteriorating systems with random change |
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ZHOU Binghai, TAO Hongyu, Qi Faqun
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（School of Mechanical Engineering, Tongji University, 201804 Shanghai, China）
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| Abstract: |
| To effectively describe stochastic deteriorations and environment effects on a system deterioration process, a two-stage deterioration model was proposed for a two-stage deteriorating system. Deterioration pit was used to denote a deterioration region where is going to suffer a deterioration process. The deterioration process is divided into two stages:the deterioration pit initiation process and the deterioration pit growth process. A non-stationary Gamma process and a non-homogeneous Poison process were introduced to model the deterioration pit initiation process and the deterioration pit growth process respectively. By regarding environment changes as random changes and introducing environment effect factor, a two-stage deterioration model with random changes was developed. Based on the deterioration model, a condition-based maintenance model was presented finally. The optimal inspection intervals of the system can be found by minimizing the expected maintenance cost under single stage deterioration model and two-stage deterioration model as different environment effect factors. Finally simulation experiments were designed. Results show that the proposed model is valid and practical for stochastic deterioration systems of decision-making maintenance actions.
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| Key words: condition-based maintenance random change stochastic degradation two-stage deterioration |
