A dynamic programming algorithm for the bilevel knapsack problem

被引：38
|
作者：
Brotcorne, Luce [1 ]
Hanafi, Said [1 ]
Mansi, Raid [1 ]
机构：
[1] UVHC Le Mt Houy, LAMIH ROI, ISTV2, F-59313 Valenciennes 9, France
来源：
OPERATIONS RESEARCH LETTERS | 2009年 / 37卷 / 03期
关键词：
Knapsack problem; Bilevel programming; Dynamic programming;
D O I：
10.1016/j.orl.2009.01.007
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We propose an efficient dynamic programming algorithm for solving a bilevel program where the leader controls the capacity of a knapsack, and the follower solves the resulting knapsack problem. We propose new recursive rules and show how to solve the problem as a sequence of two standard knapsack problems. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：215 / 218
页数：4
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