# American Institute of Mathematical Sciences

2005, 1(3): 315-321. doi: 10.3934/jimo.2005.1.315

## Some new results on multi-dimension Knapsack problem

 1 College of Operations Research and Management Science, Qufu Normal University, Rizhao, Shandong, China 2 Department of Computing, Hong Kong Polytechnic niversity, Hong Kong, China 3 Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing, China

Received  July 2004 Revised  January 2005 Published  July 2005

We claim a conclusion on Multi-Dimensional Knapsack Problem (MKP), which extends an important proposition by Dantzig firstly, then address to a special case of this problem, and constitute a polynomial algorithm, extending Zukerman et al's work.
Citation: Yuzhong Zhang, Fan Zhang, Maocheng Cai. Some new results on multi-dimension Knapsack problem. Journal of Industrial & Management Optimization, 2005, 1 (3) : 315-321. doi: 10.3934/jimo.2005.1.315
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