"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science

Selected topics in operations research
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
MO014
8
2+2+0
10
optional
Informatică
MO014
7
2+2+0
6
optional
Matematici aplicate
Teaching Staff in Charge
Assoc.Prof. LUPSA Liana, Ph.D.,  llupsamath.ubbcluj.ro
Prof. KASSAY Gabor, Ph.D.,  kassaymath.ubbcluj.ro
Aims
Presentation of the main results and algorithms concerning transportation problem, network flows, dynamic optimization, vectorial optimization and theory of games.
Content
The transportation problem: definition, examples. Alorithms for solving the transportation problem. Convergence of the algorithm. Applications.
Network flows: basic notions of the graph theory. The theorems of Ford, Ford-Fulkerson and Konig.
Dimamical optimization: basic concepts; Bellman's algorithm for solving dinamical optimization problems.
Game theory: matrix games, John von Neumann's minimax theorem. Methods for solving matrix games.
References
1. BACIU A., PASCU A., PUSCAS E.: Aplicatii ale cercetarii operationale. Bucuresti, Editura Militara, 1988.
2. W.W. BRECKNER: Cercetare operationala, Univ. Babes-Bolyai Cluj Napoca, 1980.
3. GALPERIN G. A.: Nonscalarized Multiobjective Global Optimization. J.O.T.A., 75 (1992), 1, 69-85.
Assessment
Exam.