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math.OC2021
Outer approximation algorithms for convex vector optimization problems
Irem Nur Keskin, Firdevs Ulus
In this study, we present a general framework of outer approximation algorithms to solve convex vector optimization problems, in which the Pascoletti-Serafini (PS) scalarization is…
math.OC2021
Geometric duality results and approximation algorithms for convex vector optimization problems
Çağın Ararat, Simay Tekgül, Firdevs Ulus
We study geometric duality for convex vector optimization problems. For a primal problem with a -dimensional objective space, we formulate a dual problem with a -dimensio…
math.OC2021
A norm minimization-based convex vector optimization algorithm
Çağın Ararat, Firdevs Ulus, Muhammad Umer
We propose an algorithm to generate inner and outer polyhedral approximations to the upper image of a bounded convex vector optimization problem. It is an outer approximation algor…