Састанак семинара за примењену математику, 27. септембар 2010.

• 25. Септембар, 2010
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Ближи се време за обнављање дружења на Семинару у зимском семестру 2010/2011. године. Као увод у то дружење најављујемо предавање проф. Yury Kochetova, у понедељак, 27.09.2010. у 14h у Математичком институту САНУ, Кнеза Михаила 36/III соба 301ф.

Предавач: Yury Kochetov Sobolev Institute of Mathematics,Novosibirsk, Russia

Назив предавања: Heuristic and Exact Methods for the Competitive p-Median Problem

Abstrakt: In the competitive p-median problem two decision makers, a leader and a follower, compete to attract clients from a given market. The leader opens p facilities, anticipating that the follower will react to the decision by  opening his own r facilities. The decision makers try to maximize their own profits. This Stackelberg game is   P2 -hard. We develop a hybrid memetic algorithm for it where probabilistic tabu search heuristic is applied for improving the offspring. To obtain an upper bound, we reformulate the problem as a mixed integer program with large number of constraints and variables. Selecting some of them, we get the desired upper bound. To find optimal solutions, we iteratively modify the subset of the constraints and variables. This approach is tested on the benchmarks from the library Discrete Location Problems. The optimal solutions are found for  r = p = 5, 100 clients, and 100 facilities.