Page 35 - 《软件学报》2020年第11期

软件学报 ISSN 1000-9825, CODEN RUXUEW E-mail: jos@iscas.ac.cn
Journal of Software,2020,31(11):3351−3363 [doi: 10.13328/j.cnki.jos.005853] http://www.jos.org.cn
©中国科学院软件研究所版权所有. Tel: +86-10-62562563

∗
基于择优协作策略的 PES 算法在整数规划问题上的应用

王占占, 黄樟灿, 侯 改, 唐荷花, 李 贺

(武汉理工大学 理学院,湖北 武汉 430070)
通讯作者: 黄樟灿, E-mail: huangzc@whut.edu.cn

摘 要: 整数规划是在科学领域和应用研究中广泛使用的一类数学模型.由于它是 NP 困难问题,因而求解困难.
目前的求解方法是以群智能算法为主体,但这类方法一直未能很好地解决种群内部个体或者种群之间的探索与开
采、竞争与协作的矛盾.基于金字塔结构的群智能演化策略(swarm intelligence evolution strategy based on pyramid
structure,简称 PES)是一种新型算法.该算法能够有效地解决上述两大矛盾.深入地分析了 PES 算法的机理,构造了一
种择优协作策略的模型,并将改造后的 PES 算法由优化函数扩展到求解整数规划问题上.最后,通过探索实验以及对
比实验探究了算法的收敛性、稳定性以及探寻全局最优点的性能.实验结果表明,基于择优协作策略的 PES 算法能
够很好地求解整数规划问题.
关键词: 智能算法;竞争;协作;金字塔;整数规划
中图法分类号: TP301

中文引用格式: 王占占,黄樟灿,侯改,唐荷花,李贺.基于择优协作策略的 PES 算法在整数规划问题上的应用.软件学报,2020,
31(11):3351−3363. http://www.jos.org.cn/1000-9825/5853.htm
英文引用格式: Wang ZZ, Huang ZC, Hou G, Tang HH, Li H. Application of PES algorithm based on preferred collaborative
strategy on integer programming. Ruan Jian Xue Bao/Journal of Software, 2020,31(11):3351−3363 (in Chinese). http://www.jos.
org.cn/1000-9825/5853.htm
Application of PES Algorithm Based on Preferred Collaborative Strategy on Integer
Programming

WANG Zhan-Zhan, HUANG Zhang-Can, HOU Gai, TANG He-Hua, LI He
(School of Science, Wuhan University of Technology, Wuhan 430070, China)
Abstract: Integer programming is a kind of mathematical model which is widely used in the field of science and applied research. Because it
is a NP-hard problem, it is difficult to solve it. The solution method is to use swarm intelligence algorithm as the main body, but this kind of
method has not been able to solve the spear of exploration and exploitation, competition and collaboration among individuals and populations
within the population. Swarm intelligence evolution strategy based on pyramid structure is a new algorithm, which can effectively solve the
above two contradictions. In this study, the mechanism of PES algorithm is deeply analyzed, and a preferred collaborative strategy model is
constructed. The improved PES algorithm is extended from the optimization function to solve the integer programming problem. Finally, through
the exploration experiment and the contrast experiment, the convergence and stability of the algorithm and the performance of the global best are
explored. The experimental results show that the PES algorithm based on the optimal cooperation strategy can solve the integer programming
problem well.
Key words: intelligent algorithm; competition; collaboration; pyramid; integer programming

[1]
整数规划(integer programming,简称 IP)是 20 世纪 60 年代发展起来的规划论中的一个分支 ,是一个 NP

∗ 基金项目: 国家自然科学基金(61672391)
Foundation item: National Natural Science Foundation of China (61672391)
收稿时间: 2018-07-23; 修改时间: 2018-09-12; 采用时间: 2019-04-08; jos 在线出版时间: 2019-08-09
CNKI 网络优先出版: 2019-08-12 12:08:10, http://kns.cnki.net/kcms/detail/11.2560.TP.20190812.1207.007.html