摘 要
本文探讨了组合优化问题的近似算法的设计与优化。首先介绍了组合优化问题的基本概念和模型，然后阐述了如何根据问题的特性选择合适的近似算法框架并设计具体的算法步骤。接着，文章对算法的性能进行了分析和评估，并提出了改进建议。最后，针对不同类型的组合优化问题，文章介绍了特定的技巧和方法，以及如何利用并行化和分布式计算来加速求解大规模问题。
关键词：组合优化；近似算法；贪心算法
Design and optimization of approximate algorithms for combinatorial optimization problems
英文姓名
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Abstract：This paper discusses the design and optimization of the approximate algorithm for combinatorial optimization problems. Firstly, the basic concept and model of combinatorial optimization problem are introduced, and then how to select the appropriate approximate algorithm fr amework and design the specific algorithm steps according to the characteristics of the problem is described. Then, the performance of the algorithm is analyzed and evaluated, and some suggestions for improvement are put forward. Finally, specific techniques and methods are introduced for different types of combinatorial optimization problems, and how to use parallelization and distributed computing to accelerate the solution of large-scale problems.
Key words: Combinatorial optimization; Approximation algorithm; Greedy algorithm
目 录
1 引言 1
2 组合优化问题的基本概念与模型 1
2.1 组合优化问题的分类和定义 1
2.2 常用的组合优化模型介绍 2
3 组合优化问题的近似算法的设计 2
3.1 确定问题的目标函数和约束条件 2
3.2 设计近似算法的框架 3
3.3 分析算法的性能和优缺点 4
4 组合优化问题的近似算法的优化 4
4.1 算法参数调整 4
4.2 组合优化问题的特定技巧 5
4.3 并行化和分布式计算 6
结语 6
参考文献 7
致谢 8
