Laboratory of Operations Research and Decision Systems Head: Tamas Rapcsak
1.) The annual General Assembly meeting of the Hungarian Operational Research Society (HORS) held on the 25th of May, at the Conference Room of the Institute. The meeting was followed by a half-day-workshop to celebrate the 10-year-long existence of the HORS. 10 lectures were held giving a general insight into the present situation of operations research in Hungary and abroad, then, some application summaries were
provided.
2.) Visiting professor:
31. August: lecture held by Prof. George Isac (Dept. of Mathematics, Royal Military College of Canada) with the title "Nuclearity for convex cones, Pareto efficiency and Ekeland type variational principle". One of his outstanding books referred to is titled "Topological methods in complementarity theory" (Kluwer Academic Publishers, 2000). In this lecture the notions of nuclear cone, full nuclear cone and pseudo-nuclear cone were presented, furthermore, several results related to them were given. The main goal was to apply the nuclearity to the Pareto efficiency and to show some interesting relations with Ekeland's variational principle. By using the nuclearity, a geometrical aspect of Ekeland principle was shown. Applying the nuclearity in product spaces, a new variant of Ekeland principle for vector valued mappings was obtained.
