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Article: Detecting non-dominated extreme points for multiple objective linear programming.
- Article from:
- Journal of Mathematics and Statistics
- Article date:
- July 1, 2007
- Author:
CopyrightCOPYRIGHT 2007 Science Publications. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan. All inquiries regarding rights should be directed to the Gale Group. (Hide copyright information)
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Abstract: Efficient extreme points in decision space of multiple objective linear programming (MOLP) may not map to non dominated extreme points in objective space under the linear mapping, condition that efficient extreme points have a non dominated extreme is given, the important of this study is that the decision-Maker may depends on extreme points of the set of the objective space than that of the decision space since they have fewer extreme points.
Key words: Multiple objective linear program, efficient point, non-dominated point
INTRODUCTION
The multiple objectives linear programming (MOLP) problems arises when several linear objective ...