A Computational Approach to Essential and Nonessential Objective Functions in Linear Multicriteria Optimization

Details A Computational Approach to Essential and Nonessential Objective Functions in Linear Multicriteria Optimization A Computational Approach to Essential and Nonessential Objective Functions in Linear Multicriteria Optimization

2007-06-08

arxiv.org/abs/0706.1192v1

J Optim Theory Appl (2008) 139: 577--590

Mathematics

Optimization and Control

To be partially presented at the 23rd IFIP TC 7 International Conference on System Modelling and Optimization, Cracow, Poland,

Scientific paper

10.1007/s10957-008-9397-z

The question of obtaining well-defined criteria for multiple criteria decision making problems is well-known. One of the approaches dealing with this question is the concept of nonessential objective function. A certain objective function is called nonessential if the set of efficient solutions is the same both with or without that objective function. In this paper we put together two methods for determining nonessential objective functions. A computational implementation is done using a computer algebra system.

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