A mathematical programming method in which a common decision space is defined by identifying decision variables, and a set of objective functions is developed as piecewise defined functions. Each objective function is dependent on at least one of the decision variables and corresponds to a goal. ...
A multiobjective optimization method aims to find the solutions that are as close as possible to the Pareto-optimal front. Sign in to download full-size image Fig. 10.4. Design space, objective space, and Pareto optimal solutions for a two-objective optimization problem. In the desalination ...
相比于单目标优化问题,多目标优化问题[1]是系统性地同时优化一系列目标函数的过程,也被称为矢量优化(vector optimization)。 前一篇文章介绍了多目标优化问题的基本形式和基于性质的帕累托最优解确定,这篇文章将继续根据文献[1]总结多目标优化问题的求解方法,并最后给出一个具体例子详细说明求解多目标优化问题的过程...
我们进一步推广了STCH标量化方法,以支持高效的帕累托集学习。 2. Preliminarines and Related Work for Multi-Objective Optimization 在本研究中,我们考虑如下具有 $m$ 个可微目标函数f=f1,⋯,fm:X→Rm的连续多目标优化问题(Multi-objective Optimization Problem, MOP): (1)minx∈Xf(x)=(f1(x),f2(x),...
Keywords:forgingmachine;integrateddesignandoptimizationplatform;geneticalgorithm; multi—ohjectiveoptimization 0 引言 锻压机床是航空航天、汽车制造、交通运输、 冶金化工等重要领域的基础工业装备,对锻压机 床进行整体结构优化设计是降低成本、提高性能 的有效途径。结构优化设计包括尺度优化、形状 优化和拓扑优化三种。拓扑...
Multi-objective Approach to Portfolio Optimization:方法的多目标组合优化 热度: multi-objective optimization design method for the machine tool’s structural parts based on computer-aided engineering 热度: Optimization of the Extraction Technology of Chlorogenic Acid in Honeysuckle by Response Surface Method ...
The method for finding the global optimum of any function (may not be unique) is referred to as Global Optimization. In general, the global minimum of a single-objective problem is presented in Definition 2 [1]: Definition 2 Single-Objective Global Minimum Optimization Given a function f:Ω...
2.3 Techniques to Solve Multi-objective Optimization Problems 17 ? Non-convex parts of the Pareto set cannot be reached by minimizing convex combinations of the objective functions. An example can be made showing a geometrical interpretation of the weighted-sum method in two dimensions, i.e., ...
The feasible design space X (often called the feas- This survey addresses continuous nonlinear multi-objec- ible decision space or constraint set) is defined as the tive optimization methods. Section 2 lays the foundation set {x |g (x) ≤ 0, j = 1, 2, ..., m; and h (x) = ...
For this purpose, a robust multi-objective optimization method for the small satellite orbit design is proposed in this paper, based on the characterization of the atmospheric drag modeling uncertainties with a special focus on the three uncertain atmospheric coefficients, and the combination of a ...