Семинар на секция „Изследване на операциите, Вероятности и Статистика“

На 7 март 2017, от 14:15 в зала 403 проф. Максим Тодоров ще изнесе публична академична лекция на тема:

CONSTRAINT QUALIFICATIONS IN LINEAR AND CONVEX VECTOR SEMI-INFINITE OPTIMIZATION

Key Words: Convex Vector Optimization, Constraint Qualifications, Semi-Infinite Programming

ABSTRACT

Convex vector (or multi-objective) semi-infinite optimization deals with the simultaneous minimization of finitely many convex scalar functions subject to infinitely many convex constraints. This talk provides characterizations of the weakly efficient, efficient and properly efficient points in terms of cones involving the data and Karush-Kuhn-Tucker conditions. The latter characterizations rely on different local and global constraint qualifications. The results in this presentation generalize those obtained by several authors on linear vector semi-infinite optimization problems [European J. of Operational Research 227 (2013) 12-21].