Department of Mathematics South-West University”Neofit Rilski”, Blagoevgrad, 2700, Bulgaria
Stefan M. Stefanov
In this paper: The graphical solution of 2 × 2, 2 × n, m × 2 matrix games is considered, and examples for applying this approach are presented.
Stefan M. Stefanov
In this paper: The special case of convex separable optimization is considered in this paper. Relations between an admissible solution and an optimal solution of the initial separable optimization problem (SP), app...
Stefan M. Stefanov
In this paper: Some results concerning representation of convex sets are stated and proved.
Stefan M. Stefanov
In this paper: Some theoretical issues about the dual simplex method are discussed, an algorithm for solving linear optimization problems by this method is considered, and illustrative numerical example is presented...
Stefan M. Stefanov
In this paper: The quasiconvex functions are considered, and some properties of these functions are stated and proved in this paper.
Stefan M. Stefanov
In this paper: In this paper, the applications of fuzzy sets to decision making are considered. The Bellman-Zadeh approach is discussed, and decision making in the set of alternatives is studied. This paper is conti...
Stefan M. Stefanov
In this paper: In this paper, extreme points of the convex sets are considered. Some properties of the extreme points are stated and proved.
Stefan M. Stefanov
In this paper: In this paper, the parametric linear programming problems are considered, in particular, the case of parameterized right-hand sides of constraints and the general case, with parameterized both the obj...
Stefan M. Stefanov
In this paper: In this paper, the parametric linear programming problems are considered, and in particular, the case of parameterized objective function. Numerical solution of such problems is discussed, an illustra...
Stefan M. Stefanov
In this paper: The concepts of cones, polar cones, double polar cones, and pointed cones are introduced. Some properties of these cones are proved, and the topic of representation of convex cones is discussed.
Stefan M. Stefanov
In this paper: The concepts of separability, proper separability, and strict separability and related concepts are considered in this paper. Some properties of these sets are proved, and applications are considered.
Stefan M. Stefanov
In this paper: In this paper, the multi-objective (multiple criteria, vector) optimization is considered. Some examples of such optimization problems are presented, Pareto optimality is introduced, and arbitrage sch...
Stefan M. Stefanov
In this paper: In this paper, the decision making theory is considered. Some basic concepts are introduced, elements of the decision process are discussed, and decision making under certainty is studied.
Stefan M. Stefanov
In this paper: Some inventory control problems are considered in the paper, in particular, box constrained inventory control problems. The optimal solution is described by a characterization theorem, and an efficien...
Stefan M. Stefanov
In this paper: Some facility location problems are considered in the paper, in particular, box constrained facility location problems. The optimal solution is described by a characterization theorem, and an efficien...
Stefan M. Stefanov
In this paper: Fuzzy sets and operations with such sets are considered, and problems of fuzzy mathematical programming are discussed.
Stefan M. Stefanov
In this paper: In this paper, the scheduling theory and its applications are considered. The problems with one machine and two machines, as well as the multi-machine problem, are discussed. The schedules are present...
Stefan M. Stefanov
In this paper: The discrete and continuous Markov processes and Markov chains are considered. Basic concepts are introduced, and some applications of Markov processes are considered.
Stefan M. Stefanov
In this paper: In this paper, the decision making in risk and decision making under uncertainty are studied, and some examples are presented. This paper is continuation of paper [29] in References.
Stefan M. Stefanov
In this paper: In this paper, the queueing theory and its applications are considered. Some basic concepts and results are presented, and some important queue disciplines and mass service systems are considered.
Stefan M. Stefanov
In this paper: In this article, 0-sum 2-person matrix games are considered. Some basic concepts and results are recalled. The numerical solution of matrix games by dual problems of linear optimization is discussed....
Stefan M. Stefanov
In this paper: In this article, the relationship between linear optimization and matrix games is discussed, and in particular, the transformation of a linear program to a matrix game is considered.
Stefan M. Stefanov
In this paper: In this paper, minimization problems with a separable convex quadratic objective function subject to a linear equality constraint/linear equality constraints, and bounds on the variables (box constrai...
Stefan M. Stefanov
In this paper: In this paper, the continuous linear knapsack problem is considered. Some preliminary results are formulated and proved, and theorems concerning the optimal solution of the considered problem are stat...
Stefan M. Stefanov
In this paper: The problems of quadratic programming are examined in this paper, particularly, the convex quadratic programming problems. Karush-Kuhn-Tucker (KKT) optimality conditions are formulated for the conside...
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