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目录
背影
parte前沿的定义
注意事项
基于多目标粒子群的帕累托前沿求解
主要参数
MATLAB代码
效果图
结果分析
展望
<>背影
在目标优化过程种,很多时候都两个或者多个目标,并且目标函数不能同时达到最优,鱼与熊掌不可兼得,这个时候可以通过求解帕累托前沿,通过帕累托前沿,来寻找符合自己要求的组合解,虽然不能同时达到最优,但是都是不使一个目标函数变差的情况,其他的目标函数不能再改善的组合。
<>Pareto前沿的定义
<>基本定义
帕累托最优(Pareto Optimality),也称为帕累托效率、帕累托改善,是博弈论中的重要概念,并且在经济学, 工程学和社会科学中有着广泛的应用。
帕累托最优是指资源分配的一种理想均衡状态,假定固有的一群人和可分配的资源,从一种分配状态到另一种状态的变化中,在没有使任何人境况变坏的前提下,而不可能再使某些人的处境变好。帕累托改进(Pareto
Improvement)的定义是一种变化,在没有使任何人境况变坏的前提下,使得至少一个人变得更好。帕累托最优的状态就是不可能在有更多的帕累托改进的余地;换句话说,帕累托改进是达到帕累托最优的路径和方法。帕累托最优是公平与效率的“理想王国”。
一方面,帕累托最优是指没有进行帕累托改进的余地的状态;另一方面,帕累托改进是达到帕累托最优的路径和方法。
<>注意事项
目标函数是不同性质的,并且相互冲突,如果函数