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),...
multiobjective optimization and water balance principles is being developed which can be used to evaluate the efficiency and sustainability of water use in the region. The model will be a decision aid for water distribution planning and an instrument that will be sustainable by and useful to local...
Solve multiobjective optimization problems in serial or parallel Solve problems that have multiple objectives by the goal attainment method. For this method, you choose a goal for each objective, and the solver attempts to find a point that satisfies all goals simultaneously, or has relatively equal...
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...
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...
1) multi-objective optimization method 多目标优选方法 2) multi-objective optimization algorithm 多目标优化方法 1. But the shortcomings of existentmulti-objective optimization algorithms and the difficulty in their engineering applying, always block the application ofmulti-objective optimization algorithms in...
A multi-objective optimization method for tasks scheduling of large-scale engineering project is proposed.In the method,a multi-objective programming model is established with the objective to minimize the completion time and total expenses and to maximize the total quality of the project.Considering ...