组合优化
外观
组合最优化(英語:Combinatorial optimization),在应用数学和理论计算机科学的领域中,组合优化是在一个有限的对象集中找出最优对象的一类问题。[1]在很多组合优化的问题中,穷举搜索/枚举法是不可行的。组合优化的问题的特征是可行解的集是离散或者可以简化到离散的,并且目标是找到最优解。常见的例子有旅行商问题和最小生成樹。二维的例子,比如服装厂做衣服,衣服分成很多块,这些块需要从布料上切下来。怎么切,剩下的废布料最少?三维的例子,如集装优化。
组合优化的难处,主要是加进来拓扑分析,不同的拓扑形态下,不同部分的约束关系便不同,算法也就要调整。如果给定一个拓扑形态,组合优化往往就退化成一个整数优化的问题了。
應用
[编辑]参考文献
[编辑]- ^ Schrijver 2003,第1頁.
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- ^ Eskandarpour, Majid; Dejax, Pierre; Miemczyk, Joe; Péton, Olivier. Sustainable supply chain network design: An optimization-oriented review (PDF). Omega. 2015, 54: 11–32 [2019-12-26]. doi:10.1016/j.omega.2015.01.006. (原始内容存档 (PDF)于2019-12-26).
引注
[编辑]- Beasley, J. E. Integer programming (lecture notes). [2022-10-16]. (原始内容存档于2022-10-16).
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