Optimality conditions for approximate solutions in multiobjective optimization problems.
Optimality Conditions for D.C. Vector Optimization Problems under D.C. Constraints
2000 Mathematics Subject Classification: Primary 90C29; Secondary 49K30.In this paper, we establish necessary optimality conditions and sufficient optimality conditions for D.C. vector optimization problems under D.C. constraints. Under additional conditions, some results of [9] and [15] are also recovered.
Optimality conditions for weak efficiency to vector optimization problems with composed convex functions
We consider a convex optimization problem with a vector valued function as objective function and convex cone inequality constraints. We suppose that each entry of the objective function is the composition of some convex functions. Our aim is to provide necessary and sufficient conditions for the weakly efficient solutions of this vector problem. Moreover, a multiobjective dual treatment is given and weak and strong duality assertions are proved.
Optimality conditions in nondifferentiable -invex multiobjective programming.
Optimisation d’une fonction linéaire sur l’ensemble des solutions efficaces d’un problème multicritère quadratique convexe
Dans ce papier, nous caractérisons l’ensemble des points efficients d’un problème de programmation multicritère quadratique convexe. Nous ramenons ainsi le problème de la minimisation d’une fonction linéaire sur l’ensemble des points efficients à la résolution d’un problème de programmation fractionnaire.
Optimisation of Production Machine Scheduling Using a Two Level Mixed Optimisation Method
Optimization using an evolutionary hyperplane guided approach.
Optimum beam design via stochastic programming
The purpose of the paper is to discuss the applicability of stochastic programming models and methods to civil engineering design problems. In cooperation with experts in civil engineering, the problem concerning an optimal design of beam dimensions has been chosen. The corresponding mathematical model involves an ODE-type constraint, uncertain parameter related to the material characteristics and multiple criteria. As a~result, a~multi-criteria stochastic nonlinear optimization model is obtained....