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Sensitivity in multi-objective programming under homogeneity assumptions

✍ Scribed by A. Balbás; M. Ballvé; P. Jiménez Guerra

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
86 KB
Volume
8
Category
Article
ISSN
1057-9214

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✦ Synopsis

Duality theory is applied to measure the sensitivity of a multi-objective programming problem. Since the dual problem does not always measure primal sensitivity, the paper states necessary and sufficient conditions (homogeneity conditions) to guarantee the existence and uniqueness of a pair of solutions (primal and dual) such that the dual solution provides the primal sensitivity.

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## Abstract Reference point approaches for multi‐objective problems rely on the definition of an achievement scalarizing function that projects reference points onto the non‐dominated solution set. In this paper, we investigate the behaviour of reference points using a Tchebycheff metric‐based scal