数据驱动的多目标进化优化方法与应用

本书主要介绍了数据驱动的多目标进化优化方法与应用。全书共分为十章，第一章是绪论，主要介绍了本书的研究意义，多目标进化算法和代理模型辅助的多目标进化算法的研究现状。第二章介绍了数据驱动的多目标进化优化相关技术，包括多目标进化优化算法的基本框架、代理模型技术、以及基准测试函数和工程测试函数。第三至第五章介绍了三种不依赖于代理模型的多目标进化优化方法，其中第五章提出的方法能够处理带约束的多目标优化问题。第六至第十章介绍了多种代理模型辅助的多目标进化优化方法，针对昂贵（耗时仿真）多目标优化问题，依靠代理模型技术预筛进化种群中的优势个体进行真实函数计算，大幅提高优化效率。

前言第 1 章 绪论 ···················································································· 11.1 概述 ··················································································· 11.2 多目标优化方法研究现状 ························································ 31.3 数据驱动多目标优化方法研究现状 ············································ 71.4 数据驱动多目标优化设计研究现状 ··········································· 131.5 本章小结 ············································································ 15参考文献 ··················································································· 15第 2 章 数据驱动的多目标进化优化相关技术 ········································· 232.1 多目标进化算法 ··································································· 232.1.1 多目标优化问题 ······························································· 232.1.2 多目标进化算法基本框架 ····················································· 242.1.3 进化算子 ······································································· 252.1.4 性能评价指标 ·································································· 252.1.5 参考向量生成 ·································································· 262.2 代理模型技术 ······································································ 282.2.1 多项式响应面模型 ····························································· 282.2.2 RBF 模型 ······································································· 292.2.3 Kriging 模型 ···································································· 312.3 基准测试函数 ······································································ 332.3.1 DTLZ 测试集 ·································································· 332.3.2 WFG 测试集 ··································································· 352.4 工程测试问题 ······································································ 382.5 本章小结 ············································································ 40参考文献 ··················································································· 41第 3 章 基于可控增强支配关系的多目标进化优化方法 ····························· 433.1 背景介绍 ············································································ 433.1.1 各类支配关系概述 ····························································· 433.1.2 NSGA-II ········································································ 463.2 一种可控增强型支配关系 ······················································· 493.2.1 增强型支配关系及其影响因子 ················································ 493.2.2 可控增强型支配关系 ·························································· 543.2.3 CSDR 基本性质及其证明 ····················································· 553.2.4 NSGA-II/CSDR 框架 ·························································· 563.3 NSGA-II/CSDR 分析 ······························································ 583.3.1 NSGA-II/CSDR 参数分析 ····················································· 583.3.2 自适应策略有效性分析 ························································ 603.4 NSGA-II/CSDR 测试 ······························································ 663.4.1 算法参数设置 ·································································· 663.4.2 数学算例测试 ·································································· 663.5 本章小结 ············································································ 75参考文献 ··················································································· 75第 4 章 基于多阶段搜索的多目标进化优化方法 ······································ 774.1 背景介绍 ············································································ 774.1.1 多阶段搜索策略简介 ·························································· 774.1.2 决策变量聚类方法 ····························································· 784.2 MaOEA-MS ········································································· 804.2.1 算法框架 ······································································· 804.2.2 收敛阶段策略 ·································································· 824.2.3 多样化阶段策略 ······························································· 834.2.4 微调阶段策略 ·································································· 834.3 MaOEA-MS 分析 ·································································· 854.3.1 参数灵敏度分析 ······························································· 854.3.2 策略有效性分析 ······························································· 864.4 MaOEA-MS 测试 ·································································· 894.4.1 算法参数设置 ·································································· 894.4.2 数学算例测试 ·································································· 904.4.3 工程算例测试 ·································································· 974.5 本章小结 ············································································ 99参考文献 ··················································································· 99第 5 章 基于全局多样性策略的约束多目标进化优化方法 ························ 1015.1 约束多目标优化简介 ···········································