arrow
返回

A MINIMAL ALGORITHM FOR THE MULTIPLE-CHOICE KNAPSACK-PROBLEM

delete1995-06-01
delete179
PRE
AI
D
David Pisinger *
DOI:10.1016/0377-2217(95)00015-Idelete
delete原文链接
delete分享
delete收藏
摘要

摘要

En 中文
The Multiple-Choice Knapsack Problem is defined as a 0-1 Knapsack Problem with the addition of disjoined multiple-choice constraints. As for other knapsack problems most of the computational effort in the solution of these problems is used for sorting and reduction. But although O(n) algorithms which solve the linear Multiple-Choice Knapsack Problem without sorting have been known for more than a decade, such techniques have not been used in enumerative algorithms. In this paper we present a simple O(n) partitioning algorithm for deriving the optimal linear solution, and show how it may be incorporated in a dynamic programming algorithm such that a minimal number of classes are enumerated, sorted and reduced. Computational experiments indicate that this approach leads to a very efficient algorithm which outperforms any known algorithm for the problem.
Keyword:
KNAPSACK PROBLEM
DYNAMIC PROGRAMMING
REDUCTION
AI总结

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

European Journal of Operational Research 封面图
European Journal of Operational Research
IF:
6
论文数:
2.2W
被引数:
7.7W

机构

暂无机构信息
引用论文

引用论文

A fast algorithm for the linear multiple-choice knapsack problem
err1984-10-01
err0
PREAI
errKrzysztof Dudziński; Stanisław Walukiewicz
err分享
err收藏
U.S. Test System with High Spatial and Temporal Resolution for Renewable Integration Studies
err2020-08-02
err0
PREAI
errYixing Xu; Nathan Myhrvold; Dhileep Sivam; Kaspar Mueller; Daniel J. Olsen; Bainan Xia; Daniel Livengood; Victoria Hunt; Benjamin Rouille d'Orfeuil; Daniel Muldrew; Merrielle Ondreicka; Megan Bettilyon
err分享
err收藏
Aktueller Stand zur Entwicklung neuer Glucocorticoidrezeptorliganden
err2005-04-01
err0
PREAI
errF. Buttgereit; I.-H. Song; R. H. Straub; G.-R. Burmester
err分享
err收藏
学者 查看更多内容