考虑非平稳特性的多层多级备件时变凸优化研究

项目名称： 考虑非平稳特性的多层多级备件时变凸优化研究

项目编号： No.61304148

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 自动化技术、计算机技术

项目作者： 郭霖瀚

作者单位： 北京航空航天大学

项目金额： 25万元

中文摘要： 在复杂可修系统时变任务强度及产品无故障休眠使用环境中,系统前时隙可用状态信息通常会产生后向影响，如果忽略这些影响将造成多层多级备件数量评估偏差较大。本项目综合考虑系统实际运行过程中这些内外交变应力影响，研究备件需求、备件在修及备件短缺非平稳随机过程，求证这些过程的非平稳特性，抽象这些过程分布函数族之间的解析关系，构建非平稳特性下多层多级备件时变库存平衡方程。推导多层多级备件级联时变需求率及条件短缺期望解析函数关系，揭示这些函数关系在时变级联维修网络中的耦合传递规律。建立多层多级备件时变凸优化模型，探索时域累积备件需求依赖的优化目标凸函数构造方法，对约束空间进行凸分析。设计目标函数凸优化算子，在梯度方向上对凸集中的内点进行搜索，分析其在相邻时隙上的边际效应，在目标函数最速下降方向上迭代差分运算实现凸优化。通过蒙特卡洛仿真实验进行验证。为大规模多层多级备件时变优化问题的高效求解提供科学方法。

中文关键词： 多层多级；可修；备件；马尔科夫；凸优化

英文摘要： Both on practical time-varying mission sortie generation rate conditions as well as in realistic no failure passivation operation environment, if complex repairable systems available states located in forward time slot are neglected multi-indenture multi-echelon spare parts quantities are usually seriously overestimated or underestimated. In this project, spare parts status are described as demand, due-in pipeline and backorder, according to the three status stochastic process models are established on the consideration of internal-external alternate stress action abstracted from realistic complex system operation modes, and non-stationary characteristics are proved for the three stochastic processes. Analytic functional relations are modeled among the stochastic processes, and multi-indenture multi-echelon spare parts time-varying stock equation is established based on the non-stationary characteristics. Spare part time-varying demand rate and conditional backorder expectation function are analytically derived according to multi-indenture multi-echelon spare parts non-stationary demands. Transitive laws derived from the function relations are promulgated in cascade coupling maintenance net. Time-varying optimized model is build to multi-indenture multi-echelon spare parts, furthermore, optimized objective funct

英文关键词： MIME；Repairable；Spare part；Markov；Convex optimization