DocumentCode
1105024
Title
Reference direction approach for solving multiple objective nonlinear programming problems
Author
Narula, Subhash C. ; Kirilov, Leonid ; Vassilev, Vassil
Author_Institution
Virginia Commonwealth Univ., Richmond, VA, USA
Volume
24
Issue
5
fYear
1994
fDate
5/1/1994 12:00:00 AM
Firstpage
804
Lastpage
806
Abstract
Proposes an interactive algorithm based on the reference direction approach to solve multiple objective nonlinear programming problems. The decision maker gives his/her aspiration levels in terms of the reference point in the objective function space. A number of efficient solutions are generated along the projection of the reference direction onto the efficient frontier. Each solution is an (weak) efficient solution. No special software is required to implement the proposed algorithm. The algorithm is illustrated with an example
Keywords
decision theory; nonlinear programming; aspiration levels; decision maker; interactive algorithm; multiple objective nonlinear programming problems; objective function space; reference direction approach; weak efficient solution; Decision making; Delta modulation; Lagrangian functions; Linear programming; Software algorithms;
fLanguage
English
Journal_Title
Systems, Man and Cybernetics, IEEE Transactions on
Publisher
ieee
ISSN
0018-9472
Type
jour
DOI
10.1109/21.293497
Filename
293497
Link To Document