技术系统概念优化设计(数值实现)

Yu. K. Mashunin
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引用次数: 3

摘要

工作代表了具有等效特性(标准)的技术系统(TS)的最佳参数的模拟方法,具有标准优先级。该方法是技术系统优化设计概念的一部分。在第一篇文章中提供了概念的数学和组织陈述。该方法是技术系统数学模型的数值实现。数学仿真模型是一个矢量优化问题。首先,当每个准则和约束对参数的依赖性是已知的(确定性条件下),其次,当每个准则对参数的函数依赖性信息不足时(不确定性条件下),给出了模型的准则。在TS模型中,具有不确定性的特征将转化为具有确定性的准则。利用回归分析的方法对具有确定性条件的矢量任务进行转换。求解矢量优化问题的方法采用了TS特征归一化和保证结果规则。以某TS模型为例,用数值数据求解向量问题的非线性优化包括四个特征(其中两个带有不确定条件)。用等价准则和其中一个准则的优先级来求解矢量优化问题。
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Optimum designing of the technical systems concept (numerical realization)
Work represents methodology of simulation of optimal parameters of technical systems (TS) with equivalent characteristics (criteria), with a criterion priority. The methodology is part of the concept of optimum designing of technical systems. Mathematical and organizational statement of the concept is provided in the first article. The methodology is provided as numerical implementation of mathematical model of technical system. The mathematical simulation model is a problem of vector optimization. Criteria of model are presented, first when the dependence of each criterion and constraints on parameters is well known (conditions of certainty), and secondly, when there is insufficient information about the functional dependence of each criterion on the parameters (under uncertainty). In the model of TS characteristics with uncertainty will be converted to criteria with definiteness. The methods of regression analysis are used to convert a vector task with the conditions of definiteness. Methods for solving vector optimization problems use the normalization of characteristics of TS and the rule of guaranteed result. For example of a model of a TS with numerical data of the vector problem of nonlinear optimization includes four characteristics (two of them with conditions of uncertainty). The vector problem of optimization is solved with equivalence criteria and for priority of one of the criteria.
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