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三角形回路弦网络系统控制器设计及指数稳定
  • ISSN号：0493-2137
  • 期刊名称：《天津大学学报：自然科学与工程技术版》
  • 时间：0
  • 分类：O211.6[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]华中科技大学数学与统计学院,湖北武汉430074, [2]湖北师范学院数学与统计学院,湖北黄石435002, [3]天津大学数学系,天津300072, [4]天津航海仪器研究所,天津300131
  • 相关基金：国家自然科学基金资助项目（60874034）;湖北师范学院研究生启动基金资助项目（20071340）
作者： 刘东毅[1,2], 韩忠杰[1,2], 尚英锋[1,2], 王雷[2]
关键词： 多状态退化系统, 长期平均成本率, 半马尔可夫决策过程, 策略迭代算法, 最优故障维修策略, multi-state deteriorating system, long-run cost rate, semi-Markovian decision process, policy-iteration algorithm, optimal failure maintenance policy
中文摘要：

针对多状态半马尔可夫退化系统,研究了系统发生故障后的维修模型.在系统的退化过程中,有多个不可逆的工作状态和故障状态.系统的所有故障均能修复且可忽略故障修复时间,修复后系统回到正常的工作状态.当系统发生故障时,系统的故障检测设备首先确定出当前所处的故障状态,然后采取相应的维修措施.基于系统长期平均成本率最低的决策准则,运用半马尔可夫决策过程的策略迭代算法给出了系统处于不同故障状态下的最优维修策略.以实例说明了求解最优故障维修策略的迭代过程.

英文摘要：

A failure maintenance model is studied for multi-state semi-Markovian deteriorateing systems. During deterioration process, a system has a finite number of inverse working states and failure states. All failure states of system can be repairable and the failure repair time is negligible. The system is in a normal working state after restore. Its failure-examination devices can detect the failure state immediately as soon as the failure occurs, and then the corresponding maintenance actions are carried out. The optimal failure-repair policy that minimizes the expected long-run cost rate of the system is obtained by using policy-iteration algorithm of semi-Markovian decision process. Finally, numerical examples are given to illustrate the iteration process for solving the optimal failure maintenance policy.

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期刊信息
  • 《天津大学学报：自然科学与工程技术版》
  • 北大核心期刊（2011版）
  • 主管单位:
  • 主办单位:天津大学
  • 主编：单平
  • 地址：天津市南开区
  • 邮编：300072
  • 邮箱：
  • 电话：022-27403448
  • 国际标准刊号：ISSN：0493-2137
  • 国内统一刊号：ISSN：12-1127/N
  • 邮发代号:6-27
  • 获奖情况:
  • 中国期刊方阵双效期刊
  • 国内外数据库收录:
  • 美国数学评论（网络版）,美国剑桥科学文摘,中国中国科技核心期刊,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）
  • 被引量:6410