Mullur, Multiobjective optimization: Concepts and methods, in Optimization of structural and mechanical systems , ed. by J.S. Arora (World Scientific, Singapore, 2007)Messac, A.; Mullur, A.A. Multiobjective Optimization: Concepts and Methods. In: ARORA, J.S. Optimization of Structural and ...
日出东方 多目标优化(Multi-objective optimization)的基础概念 多目标优化需要同时优化两个或者两个以上的目标函数,且不能显式地平衡它们(不存在同时优化每个目标函数的解)。 为了引出多目标优化的定义,先介绍一个概念,一个可容纳所有可行解的解子… lizx 多目标优化(进化)算法入门(一) 阿祖incoding打开...
在具有偏好先验信息的求解方法中,还有边界目标函数法(bounded objective function method)以及物理规划(physical programming)等方法。 2.2 具有偏好后验表达的方法 在某些情况下,决策者很难明确表示出偏好函数。同时,通过改变权重以重复求解加权效用函数,可能无法提供均匀分布的点,从而准确地表示完全帕累托最优集。此外,...
A key characteristic of multiobjective optimization methods is the nature of the solutions that they provide. Some methods always yield Pareto optimal solutions but may skip certain points in the Pareto optimal set. Other methods are able to capture all of the points in the Pareto optimal set, ...
Survey of multi-objective optimization methods for engineering英文资料.pdf,Review article Struct Multidisc Optim 26, 369–395 (2004) DOI 10.1007/s00158-003-0368-6 Survey of multi-objective optimization methods for engineering R.T. Marler and J.S. Arora A
From whatever domain they come, engineers are faced daily with optimization problems that requires conflicting objectives to be met. This monograph systematically presents several multiobjective optimization methods accompanied by many analytical examples. Each method or definition is clarified, when possible...
1.In view of the limitation of the present research work in the satisficing domain, some concepts of the generalized satisfactory degree are defined and characterized, and the multi objective optimization theory based on the generalized satisfactory degree theory are explored and applied to the opt....
1.1. The single-objective optimization problem A single-objective optimization problem can be defined as: Definition 1 General Single-Objective Optimization Problem A general single-objective optimization problem is defined as the minimization (or maximization) of a scalar objective function f(x) subjec...
FIG. 1 is a diagram of an application of the multiobjective optimization method of the current invention; FIG. 2A shows a two dimensional decision space having a uniform discrete domain; FIG. 2B shows a two dimensional decision space having a piecewise defined function with uniform pieces; FIG...
Multi-objective optimization can be described in mathematical terms as follows: min [ f1 (x), f2 (x), . . . , fn (x)] x ∈ S, where n > 1 and S is the set of constraints de?ned above. The space in which the objective vector belongs is called the objective space, and the ...