基于NSGA-II算法解决多目标优化实际应用的研究  

Research on the Practical Application of NSGA-II Algorithm for Multi-Objective Optimization

作　　者：向芷恒 王秉哲 雪景州 山晟 

机构地区：[1]北方工业大学理学院,北京

出　　处：《应用数学进展》2023年第10期4195-4207,共13页Advances in Applied Mathematics

摘　　要：优化问题是工业生产中十分常见的一类问题,但在具体的实际应用中,单目标优化往往无法满足实际的需求。工厂需要在保证利润的前提下降低自己的成本,如能耗、人工、生产时间等。此时单目标优化无法较好地给出需要的可行解,采用多目标优化能较为简单地解决此类问题。NSGA-II算法在解决此类问题时具有较好的可行性,本文主要介绍NSGA-II算法的发展与原理,并以模拟工业生产的实际情况给出了简单的应用案例。Optimization problems are common in industrial production, but in specific practical applications, single-objective optimization often fails to meet the actual requirements. Factories need to reduce their costs, such as energy consumption, labor, and production time, while ensuring profitability. In such cases, single-objective optimization cannot provide satisfactory feasible solutions, and mul-ti-objective optimization can effectively address these problems. The NSGA-II algorithm demon-strates good feasibility in solving such problems. This paper primarily introduces the development and principles of the NSGA-II algorithm and provides a simple application case based on simulated industrial production scenarios.

关 键 词：多目标优化 NSGA-II算法 PARETO占优 

分 类 号：TP3[自动化与计算机技术—计算机科学与技术]