因此，多目标优化问题的求解变得困难。
So it is much more difficult to solve the multi-objectives optimization problems.
给出了动态多目标优化问题的一种新解法。
A method for dynamic multi-objective optimization problems (DMOPs) is given.
演化规划算法是解决多目标优化问题的算法之一。
Multiobjective evolutionary programming is one of available methodologies for multiobjective optimization.
本文主要是研究用进化算法来解决多目标优化问题。
This paper is to study the use of evolutionary algorithms to solve multi-objective optimization problem.
不确定多目标优化问题广泛存在于日常生产生活中。
Uncertain multi-objective optimization problems widely exist in real-world applications.
导流建筑物优化是一个复杂的非线性多目标优化问题。
Optimization for construction diversion structures is a nonlinear multi-criteria decision problem.
介绍了盘式制动器混合多目标优化问题数字模型的建立。
The establishment of mathematical model of multi-objective optimum design for disc brake is presented.
最后以两杆桁架多目标优化问题为例，说明了该方法的应用。
Finally, the efficiency of proposed approach is demonstrated in solving two-bar truss optimization problem.
油藏开发系统是一个复杂的系统，其决策是多目标优化问题。
Reservoir development system is very complicated, it is decision? Making belongs to the multi? Objection optimization.
单级斜齿圆柱齿轮减速器的优化设计，是一个多目标优化问题。
The single stage skewed tooth cylindrical gears reduction gear optimized design, is a multi-objective optimization question.
自60年代以来，人们对求解多目标优化问题的兴趣日益增加。
Since the 60s, people's interest on solving the multi-objective optimization questions has increased day by day.
提出了一个改进的粒子群算法并将其用于解决多目标优化问题。
An improved particle swarm algorithm to solve multi-objective problems is proposed.
利用加权切贝雪夫方法，将多目标优化问题化简为单目标优化问题。
The problem of multiobjective optimization is simplified to that of scalar objective optimization by weighted Tchebycheff procedure.
但由于目标和约束函数的不同，故它又不同于常规的多目标优化问题。
It is a multiobjective optimization design, but the objective and constraint functions are greatly different to traditional optimization design.
采用最大模糊满意度法将多目标优化问题转化为单目标非线性规划问题；
Secondly, multi-objective optimization problem is reformulated into a nonlinear single-objective programming problem by means of fuzzy satisfaction-maximizing method.
分别为三率值创建目标函数，并利用状态空间搜索策略解决多目标优化问题。
Goal functions are created for three modulus values separately, and multi-objective optimization problem is solved with the strategy of state-space search.
通过算例，证实了该算法能很好地解决虚拟企业伙伴选择这一多目标优化问题。
Examples show that this algorithm can solve effectively the multi-objective optimization problem of virtual enterprise's partner selection.
讨论了一类多目标优化问题的区间斜率方法，其中目标函数是一阶连续可微的。
This paper describes the interval slope methods for a class of multiobjective optimization problems, of which the objective functions are in C1.
基于双群体搜索机制分别对约束多目标优化问题和约束单目标优化问题进行了研究。
Hence, constrained multiobjective and constrained numerical optimization problems are done in this thesis based on double populations.
与已有典型算法相比，上述算法提高了PSO算法处理约束多目标优化问题的能力。
Compared with several typical algorithms, our algorithm improves PSO's capability to deal with the constrained multi-objective optimization problems.
利用线性加权和法，建立了评价函数，将多目标优化问题转化为单目标非线性规划问题。
By linear weighing-sum method, the multi-objective optimization was converted into a linear programming problem with the evaluation equation. Process parameters were optimized with SQP algorithm.
最后，通过优化典型多目标优化问题以及电力经济调度模型优化，验证了所提算法的有效性。
Finally, the efficiency of the proposed method is validated by optimizing on benchmark multi-objective functions optimization and power economic dispatch.
在现实工程情况下存在大量复杂系统的设计问题，而这些问题都可以抽象为多目标优化问题。
There are many problems of complex system design in engineering, which can be abstract to multi-objective optimization problems.
通过对各目标实现程度的隶属函数进行定义，将多目标优化问题转变成模糊规划问题进行求解。
By defining the membership function of the realization extent of each objective, the multi-objective optimization problem has been turned into a fuzzy programming problem to be solved.
遗传算法在解决多目标优化问题中有其独特的优势，而航天器轨道机动是典型的多目标优化问题。
Genetic algorithms to solve the multi-objective optimization problems have their unique advantages, and the spacecraft orbit maneuver was a typical multi-objective optimization problem.
而且实际的工程优化问题中大多数是多目标优化问题，各子目标之间一般都存在互相冲突的现象。
Moreover most real project optimization questions are the multi-objectives optimization problems with more then one targets between which there exist conflicts mutually.
而且实际的工程优化问题中大多数是多目标优化问题，各子目标之间一般都存在互相冲突的现象。
Moreover most real project optimization questions are the multi-objectives optimization problems with more then one targets between which there exist conflicts mutually.
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