区间参数多阶段随机线性规划方法在液压过滤器优化配置中的应用  

An Interval Parameter Mutistage Stochastic Linear Programing Method for Hydralic Contamination Control

作　　者：彭霜[1] 李晓晖[2] 聂松林[1] 熊志斌[1] 

机构地区：[1]北京工业大学机电学院,北京100022 [2]华中科技大学机械学院,武汉430074

出　　处：《机床与液压》2008年第10期27-30,84,共5页Machine Tool & Hydraulics

基　　金：国家自然科学基金项目(50675074,50775081);高技术研究发展计划项目(2006AA09Z238);湖北省自然科学基金资助项目(2006ABA085);教育部“新世纪优秀人才计划”资助项目(NCET-07-0330)

摘　　要：根据多阶段随机线性规划方法(MSLP)的原理,修正了原有模型中关于系统各处污染物侵入/产生率的描述,将概率密度函数引入到污染物侵入/产生率中能更有效地表达系统在实际运行过程中污染物浓度的变化规律。以一个典型液压系统污染控制区间参数优化模型为基础,针对液压系统中油液污染浓度随时间变化的不可预测性,引入多阶段随机优化方法,通过多层假设和概率分布函数,建立了基于区间参数多阶段随机线性规划的优化决策模型。多阶段随机优化方法的引入体现了液压元件的污染物生成率在元件正常运行期间先后经历了加速衰减、减速衰减和稳定3个阶段,对于准确描述污染物浓度的变化规律以及有效预算液压系统的运行成本具有重要意义。According to unexpectable variety of contamination levels in the fluid power system, an interval-parameter multistage method was introduced to handle with the problems of system designing and maintaining through multi scenarios and probability dense functions （PDFs） based on a typical existing interval-parameter model. Principles of multistage stochastic linear programming were applied to revise the expression of contamination ingressing/generating rates in existing model. In that way, independent ingressing/ generating rates turn to be a set of values associated with PDFs. Joined by PDFs, new method effectively describes variety principle in practical system running. Compared with the result of a single interval-parameter method, the result of an advanced technology agrees with the principles of PDFs, which solidly substantiates the new method.

关 键 词：区间参数 随机 多阶段 液压系统 污染控制 优化 

分 类 号：TG156[金属学及工艺—热处理]