.png){kind=icon}
返回
A dynamic programming based reduction procedure for the multidimensional 0-1 knapsack problem
.png){kind=icon}
PRE
AI
DOI：10.1016/j.ejor.2006.02.058.png)
.png){kind=icon}
原文求助.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
This paper presents a preprocessing procedure for the 0-1 multidimensional knapsack problem. First, a non-increasing sequence of upper bounds is generated by solving LP-relaxations. Then, a non-decreasing sequence of lower bounds is built using dynamic programming. The comparison of the two sequences allows either to prove that the best feasible solution obtained is optimal, or to fix a subset of variables to their optimal values. In addition, a heuristic solution is obtained. Computational experiments with a set of large-scale instances show the efficiency of our reduction scheme. Particularly, it is shown that our approach allows to reduce the CPU time of a leading commercial software. (c) 2007 Elsevier B.V. All rights reserved.
Keyword:
dynamic programming
integer programming
multidimensional knapsack problem
variable reduction
heuristics
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
6
论文数:
2.2W
被引数:
6.4W
机构
暂无机构信息
引用论文
.png){kind=icon}
分享收藏
查看更多内容