L. Huerga, C. Gutiérrez Vaquero, B. Jiménez, V. Novo
In the framework of a multiobjective optimization problem with a polyhedral ordering cone, we characterize proper efficient solutions through linear and nonlinear scalarization, and we derive necessary and sufficient optimality conditions for this type of solutions.
For this aim, we use a kind of polyhedral dilating cones whose construction facilitates their handling and lets us provide scalarization results with a better tractability, since they are defined by a perturbation of the matrix that determines the ordering cone.
Keywords: Multiobjective optimization, proper efficiency, optimality conditions, polyhedral ordering cone
Scheduled
GT11-3 MA-3 Continuous Optimization. Tribute to Marco Antonio López
September 6, 2019 9:30 AM
I2L7. Georgina Blanes building