Optimum designing of the technical systems concept (numerical realization)

Abstract

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.