Orthogonality in multiobjective optimization

✍ Scribed by A. Balbás; E. Galperin; P.Jiménez Guerra

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 300 KB
• Volume: 16
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(03)80066-6

✦ Synopsis

Properties of nonlinear multiobjective problems implied by the Karush-Kuhn-Tucker necessary conditions are investigated. It is shown that trajectories of Lagrange multipliers corresponding to the components of the vector cost function are orthogonal to the corresponding trajectories of vector deviations in the balance space (to the balance set for Pareto solutions). ~