American Institute of Mathematical Sciences

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

Some new results on multi-dimension Knapsack problem

Yuzhong Zhang 1, , Fan Zhang 2, and  Maocheng Cai 3,

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.
Keywords: integer programming, Knapsack problem, polynomial time algorithm, approximation algorithm..
Mathematics Subject Classification: 90C10, 90C2.
Citation: Yuzhong Zhang, Fan Zhang, Maocheng Cai. Some new results on multi-dimension Knapsack problem. Journal of Industrial and Management Optimization, 2005, 1 (3) : 315-321. doi: 10.3934/jimo.2005.1.315
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