Stability of Vector Problems of Integer Optimization: Relationship with the Stability of Sets of Optimal and Nonoptimal Solutions

Multicriteria combinatorial optimization problems on a set of polypermutations

“…The paper continues the studies described in [1][2][3][4][5][6][7][8]; it deals with a class of multicriteria optimization problems on a combinatorial set of polypermutations and develops an approach to solve them.…”

“…An tfficient alternative is also called Pareto optimal [5]. All such alternatives constitute a set P F X ( , ) of Pareto optimal solutions [6,7]. According to [7], the statement…”

“…Studying the properties of discrete problems [1][2][3][4][5][6][7][8] and developing methods to solve them is of current importance. It is rather important to analyze the class of combinatorial problems separated out from discrete ones.…”

“…The studies [1, 2,5,7] analyze modeling problems in economy and engineering and the use of models of discrete multicriteria optimization. The properties of combinatorial optimization problems with vector criteria, their complexity, solvability, and stability and algorithmic problems of their solution are investigated.…”

An approach to solving discrete vector optimization problems over a combinatorial set of permutations

“…At the present time, publications of many foreign and domestic scientists are devoted to the construction of efficient methods for solution and investigation of various aspects of the theory of multicriteria optimization problems including discrete ones [1][2][3][4][5][6][7][8].…”