一种混合策略的Pareto演化规划

提出一种多目标演化算法--混合策略Pareto演化规划(Mixed Strategies Pareto Evolutionary Programming,MSPEP).借鉴强度Pareto Ⅱ演化算法的个体比较技术,通过计算个体位序的Pareto强度值进行比较排序,混合策略变异机制用于指导算法有效搜索过程.标准测试函数的实验结果验证算法的通用性和有效性.算法搜索的解集能快速逼近Pareto最优前沿.     

一种基于决策图贝叶斯网络的强度Pareto进化算法

提出了一种基于决策图贝叶斯网络的强度Pareto进化算法,该算法把贝叶斯概率模型结合到多目标进化算法中,通过构造和学习网络来替代传统进化算法中的交叉重组和变异等遗传操作,避免对大量参数的人工设置和重要构造块的破坏．求解多目标背包问题的仿真结果表明,所提算法可以快速收敛到较好的Pareto前沿,有很强的鲁棒性．     

一种新的多目标改进和声搜索优化算法

针对标准和声搜索算法存在收敛不稳定及不能用于多目标优化问题的缺陷,通过引入交叉算子、自适应记忆内搜索概率和调节概率,改进了传统的和声搜索算法;根据Pareto支配关系,结合算法和声记忆库内信息完全共享的特性,提出了基于动态Pareto最优前沿的能够求解多目标优化问题的多目标改进和声搜索算法。通过几个典型函数的仿真测试表明,提出的算法能够高效稳定地收敛于Pareto最优前沿,获得分布均匀的Pareto解集。     

求解机械优化的Pareto多目标中心粒子群算法

针对基于权重法的多目标算法无法求解约束多目标问题的缺陷,将中心粒子群算法与Pareto解集搜索算法相结合,提出一种Pareto多目标中心粒子群算法。将此方法用来优化气门弹簧的模型,实验结果表明,该优化方法能够快速准确地收敛于Pareto解集,并且使其对应的目标域均匀地分布于Pareto最优目标域。     

基于在线感知Pareto前沿划分目标空间的多目标进化优化

多目标进化优化是求解多目标优化问题的可行方法.但是, 由于没有准确感知并充分利用问题的Pareto前沿, 已有方法难以高效求解复杂的多目标优化问题.本文提出一种基于在线感知Pareto前沿划分目标空间的多目标进化优化方法, 以利用感知的结果, 采用有针对性的进化优化方法求解多目标优化问题.首先, 根据个体之间的拥挤距离与给定阈值的关系感知优化问题的Pareto前沿上的间断点, 并基于此将目标空间划分为若干子空间; 然后, 在每一子空间中采用MOEA/D (Multi-objective evolutionary algorithm based on decomposition)得到一个外部保存集; 最后, 基于所有外部保存集生成问题的Pareto解集.将提出的方法应用于15个基准数值函数优化问题, 并与NSGA-Ⅱ、RPEA、MOEA/D、MOEA/DPBI、MOEA/D-STM和MOEA/D-ACD等比较.结果表明, 提出的方法能够产生收敛和分布性更优的Pareto解集, 是一种非常有竞争力的方法.     

基于Pareto的多目标优化免疫算法

免疫算法具有搜索效率高、避免过早收敛、群体优化、保持个体多样性等优点。将其应用于多目标优化问题,建立了一种新型的基于Pareto的多目标优化免疫算法(MOIA)。算法中,将优化问题的可行解对应抗体,优化问题的目标函数对应抗原,Pareto最优解被保存在记忆细胞集中,并利用有别于聚类的邻近排挤算法对其进行不断更新,进而获得分布均匀的Pareto最优解。文章最后,对MOIA算法与文献[3]中SPEA算法进行仿真,通过比较两者的收敛性和分布性,得到了MOIA优于SPEA的结论。     

基于遗传多目标优化算法的Pareto最优解研究

遗传算法可有效求解多目标优化问题中的Pareto最优解,并利用MATLAB进行了仿真验证。     

基于Pareto解集的Web服务组合推优方案

本文针对已有的Web服务组合解决方案的不足,提出一种针对多目标的新的Web服务组合优化方案。利用粒子群算法的寻优原理,结合其他的进化算法,对粒子位置的更新策略重新进行新的定义,来模拟组合过程,同时优化多个目标,通过多次迭代更新,产生一组满足相应约束条件的Pareto最优解集推荐给用户。从理论和实验两个方面证明了本文方案的可行性和有效性。     

基于遗传算法求解多目标优化问题Pareto前沿

该文给出了传统的求解多目标优化方法存在的问题,引入了当前研究多目标优化的新方法———基于遗传算法求解问题的pareto解,讨论了该方法要解决的关键问题———多样性保持及解决策略,并给出了一个求解pareto解集的新算法,算法简单、高效、鲁棒性强。最后给出了实验结果。     

一种快速构造多目标Pareto非支配集的方法：选举法则*

基于Pareto的多目标优化问题是进化算法的一个重要研究方向,而如何构造Pareto非支配集则是提高算法效率的关键所在。通过对选举现象的观察,同时针对多目标个体之间的特性,提出了一种快速求解多目标Pareto非支配集的方法: 选举法则(election principle,EP),分析了其时间复杂度为O(rmN),并对其进行了正确性证明。因为种群中实际的非支配个体数m比进化群体规模N小,所以与同类方法相比,EP有更高的效率,并通过了实验验证。     

The normalized normal constraint method for generating the Pareto frontier

The authors recently proposed the normal constraint (NC) method for generating a set of evenly spaced solutions on a Pareto frontier – for multiobjective optimization problems. Since few methods offer this desirable characteristic, the new method can be of significant practical use in the choice of an optimal solution in a multiobjective setting. This papers specific contribution is two-fold. First, it presents a new formulation of the NC method that incorporates a critical linear mapping of the design objectives. This mapping has the desirable property that the resulting performance of the method is entirely independent of the design objectives scales. We address here the fact that scaling issues can pose formidable difficulties. Secondly, the notion of a Pareto filter is presented and an algorithm thereof is developed. As its name suggests, a Pareto filter is an algorithm that retains only the global Pareto points, given a set of points in objective space. As is explained in the paper, the Pareto filter is useful in the application of the NC and other methods. Numerical examples are provided.     

A role for Pareto optimality in mining performance data

Improvements in performance modeling and identification of computational regimes within software libraries is a critical first step in developing software libraries that are truly agile with respect to the application as well as to the hardware. It is shown here that Pareto ranking, a concept from multi‐objective optimization, can be an effective tool for mining large performance datasets. The approach is illustrated using software performance data gathered using both the public domain LAPACK library and an asynchronous communication library based on IBM LAPI active message library. Copyright © 2005 John Wiley & Sons, Ltd.     

Adaptive weighted-sum method for bi-objective optimization: Pareto front generation

This paper presents a new method that effectively determines a Pareto front for bi-objective optimization with potential application to multiple objectives. A traditional method for multiobjective optimization is the weighted-sum method, which seeks Pareto optimal solutions one by one by systematically changing the weights among the objective functions. Previous research has shown that this method often produces poorly distributed solutions along a Pareto front, and that it does not find Pareto optimal solutions in non-convex regions. The proposed adaptive weighted sum method focuses on unexplored regions by changing the weights adaptively rather than by using a priori weight selections and by specifying additional inequality constraints. It is demonstrated that the adaptive weighted sum method produces well-distributed solutions, finds Pareto optimal solutions in non-convex regions, and neglects non-Pareto optimal solutions. This last point can be a potential liability of Normal Boundary Intersection, an otherwise successful multiobjective method, which is mainly caused by its reliance on equality constraints. The promise of this robust algorithm is demonstrated with two numerical examples and a simple structural optimization problem.     

基于正交设计的多目标演化算法

提出一种基于正交设计的多目标演化算法以求解多目标优化问题(MOPs)．它的特点在于：(1)用基于正交数组的均匀搜索代替经典EA的随机性搜索,既保证了解分布的均匀性,又保证了收敛的快速性;(2)用统计优化方法繁殖后代,不仅提高了解的精度,而且加快了收敛速度;(3)实验结果表明,对于双目标的MOPs,新算法在解集分布的均匀性、多样性与解精确性及算法收敛速度等方面均优于SPEA;(4)用于求解一个带约束多目标优化工程设计问题,它得到了最好的结果——Pareto最优解,在此之前,此问题的Pareto最优解是未知的．     

采用遗传算法求解多跳分组无线网服务质量路由优化模型

采用多目标遗传算法来确定多跳无线网服务质量路由优化问题的Pareto最优解集。通过计算表明,多目标遗传算法能够在一次运行中搜索到优化问题的近似Pareto最优解集,这为决策者进行目标折衷决策提供了充分的依据,此算法是有效可行的。     

A Survey of Evolutionary Algorithms for Multi-Objective Optimization Problems With Irregular Pareto Fronts

Evolutionary algorithms have been shown to be very successful in solving multi-objective optimization problems(MOPs).However,their performance often deteriorates when solving MOPs with irregular Pareto fronts.To remedy this issue,a large body of research has been performed in recent years and many new algorithms have been proposed.This paper provides a comprehensive survey of the research on MOPs with irregular Pareto fronts.We start with a brief introduction to the basic concepts,followed by a summary of the benchmark test problems with irregular problems,an analysis of the causes of the irregularity,and real-world optimization problems with irregular Pareto fronts.Then,a taxonomy of the existing methodologies for handling irregular problems is given and representative algorithms are reviewed with a discussion of their strengths and weaknesses.Finally,open challenges are pointed out and a few promising future directions are suggested.     

间歇自由基聚合反应器的Pareto蚁群优化(英文)

优化技术广泛用于化工生产中"最佳"工艺条件的确定,工程师常需在无先验信息情况下,从若干工艺条件中确定同时能满足多方需求的最佳方案,实现效益最大化.枚举法只能在较简单的情况下使用,随着生产实际复杂程度的增加,枚举法显得无能为力.近来提出的元启发式蚁群优化算法无论计算时间,还是优化质量,都能满足复杂体系的优化.本研究采用Pareto蚁群算法,对间歇自由基聚合反应器进行了多目标优化,结果表明,该算法具有较强的鲁棒性,可用于间歇自由基聚合反应器的设计.     

A new graphical visualization of n-dimensional Pareto front for decision-making in multiobjective optimization

New challenges in engineering design lead to multiobjective (multicriteria) problems. In this context, the Pareto front supplies a set of solutions where the designer (decision-maker) has to look for the best choice according to his preferences. Visualization techniques often play a key role in helping decision-makers, but they have important restrictions for more than two-dimensional Pareto fronts. In this work, a new graphical representation, called Level Diagrams, for n-dimensional Pareto front analysis is proposed. Level Diagrams consists of representing each objective and design parameter on separate diagrams. This new technique is based on two key points: classification of Pareto front points according to their proximity to ideal points measured with a specific norm of normalized objectives (several norms can be used); and synchronization of objective and parameter diagrams. Some of the new possibilities for analyzing Pareto fronts are shown. Additionally, in order to introduce designer preferences, Level Diagrams can be coloured, so establishing a visual representation of preferences that can help the decision-maker. Finally, an example of a robust control design is presented - a benchmark proposed at the American Control Conference. This design is set as a six-dimensional multiobjective problem.