
Main research fields

Combinatorial Optimization

optimization on graphs
 matchings, path matchings
 stable matching
 graph packing problems
 decomposition theorems
 orientations
 connectivity augmentation
 matroid theory, submodular functions
 rigidity theory

NPcomplete problems
 New type methods of mathematical programming
 interior point algorithms;
 regularization;
 fuzzy optimization;
 soft computational techniques;
 Stochastic programming
 Models of operations research
 production control of flexible manufacturing;
 applications of chaos theory in OR.
 convex programming models in industrial applications
 Linear optimization
 theory and application of LP problems
 theory and application of linear complementary problems
 pivot algorithms and implementation
 interior point methods and implementation
 Nonlinear optimization
 specially structured problems and solution methods
 minimax and alternative theorems
 duality theory of the generalized convex programming
 semidefinite programming and its applications
 stability problems
