Sastanak seminara za primenjenu matematiku, 27. septembar 2010.

• 25. Septembar,  2010
• Komentari (0)

Bliži se vreme za obnavljanje druženja na Seminaru u zimskom semestru 2010/2011. godine. Kao uvod u to druženje najavljujemo predavanje prof. Yury Kochetova, u ponedeljak, 27.09.2010. u 14h u Matematičkom institutu SANU, Kneza Mihaila 36/III soba 301f.

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

Naziv predavanja: 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.

---