Steiner树优化问题的算法研究综述OA北大核心CSTPCD
Review of Algorithmic Research on Steiner Tree Optimization Problems
最优Steiner树问题(Steiner tree problem,STP)是一个经典的组合优化问题,许多工程问题都可以归结为最优Steiner树问题.STP被广泛应用于通信网络、电路设计、VLSI设计等领域.然而,STP是典型的NP难问题,还没有多项式时间的精确算法求解该问题.目前,求解该问题的算法主要集中在基于启发式的近似算法、智能优化算法、信息传播算法等,并取得了很好的效果.在不同规模的网络中,基于传统遗传算法给出一种叶交叉机制(leaf crossover,LC),使用该机制的算法性能表现更好.通过对这些算法的原理、性能、精度等方面进行梳理,归纳出算法的优缺点,并指出STP的研究方向和算法设计路径,对于相关问题的研究有指导意义.
The optimal Steiner tree problem(STP)is a classical combinatorial optimization problem,and many engineering problems can be summed up as optimal Steiner tree problems.STP is widely used in communication networks,circuit design,VLSI design,and other fields.However,the STP is a typical NP hard problem,and there is no precise polynomial time algorithm to solve it.Currently,the algorithms for solving this problem mainly focus on heuristic based approxima-tion algorithms,intelligent optimization algorithms,and belief propagation algorithms,and have achieved good results.By sorting out the principles,performance,accuracy,and other aspects of these algorithms,the advantages and disadvan-tages of the algorithms are summarized,and the research direction and algorithm design path for STP are pointed out,which has guiding significance for the research of related issues.
王军霞;王晓峰;彭庆媛;华盈盈;宋家欢
北方民族大学 计算机科学与工程学院,银川 750021北方民族大学 计算机科学与工程学院,银川 750021||北方民族大学 图形图像智能处理国家民委重点实验室,银川 750021
计算机与自动化
Steiner树问题(STP)启发式算法信息传播算法智能优化算法叶交叉(LC)
Steiner tree problem(STP)heuristics algorithmsbelief propagation algorithmsintelligent optimization algo-rithmsleaf crossover(LC)
《计算机工程与应用》 2024 (009)
19-29 / 11
国家自然科学基金(62062001);宁夏青年拔尖人才项目(2021).
评论