American Institute of Mathematical Sciences

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July  2007, 3(3): 481-487. doi: 10.3934/jimo.2007.3.481

Finite algorithm for minimizing the product of two linear functions over a polyhedron

Nguyen Thi Bach Kim 1,

1. 

Faculty of Applied Mathematics and Informatics, Hanoi University of Technology, Hanoi, Vietnam

Received  February 2006 Revised  December 2006 Published  July 2007

In this article we propose a finite algorithm for minimizing the product of two linear functions over a polyhedron. Preliminary computational results are reported.
Keywords: efficient point, outcome set, minimizing the product of two linear functions., Global optimization problem.
Mathematics Subject Classification: Primary: 90 C29; Secondary: 90 C2.
Citation: Nguyen Thi Bach Kim. Finite algorithm for minimizing the product of two linear functions over a polyhedron. Journal of Industrial and Management Optimization, 2007, 3 (3) : 481-487. doi: 10.3934/jimo.2007.3.481
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