Operations research |
ter |
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Teaching Staff in Charge |
Lect. POPOVICI Nicolae, Ph.D., popovici@math.ubbcluj.ro Assoc.Prof. KASSAY Gabor, Ph.D., kassay@math.ubbcluj.ro Lect. BRECKNER Brigitte Erika, Ph.D., brigitte@math.ubbcluj.ro |
Aims |
This course is an introduction to operations research and to the mathematical theory of solving optimization problems. |
Content |
General principles of operations research; interdisciplinary models. Convex analysis on the n-dimensional Euclidean space; characterizations of convex and generalized convex functions. Constrained and unconstrained optimization problems; properties of minimum points of convex functions; necessary and sufficient optimality conditions; saddle-point theorems; duality theorems. Numerical methods for solving linear and nonlinear optimization problems: Simplex method, cutting planes method, penalty and barier functions methods. Introduction to game theory; the solution of two-persons games by means of linear optimization technique. |
References |
1. BRECKNER W. W.: Cercetare operationala. Cluj-Napoca, Universitatea "Babes-Bolyai", Fac. de Matematica, 1981.
2. BRECKNER W. W., DUCA D.: Culegere de probleme de cercetare operationala. Cluj-Napoca, Universitatea, Fac. de Matematica, 1983. 3. DOMSCHKE W., DREXL A.: Einfuhrung in Operations Research. 3. Aufl. Berlin, Springer-Verlag, 1995. 4. DOMSCHKE W., DREXL A., SCHILDT B., SCHOLL A., VOSS S.: Uebungsbuch Operations Research. 2. Aufl. Berlin, Springer-Verlag, 1997. 5. PREKOPA, A., Linearis programozas. Bolyai Tarsulat, Budapest, 1968. |
Assessment |
Written and oral examination. |