On quasistability radius of a vector trajectorial problem with a principle of optimality generalizing Pareto and lexicographic principles [PDF]
A multicriterion linear combinatorial problem with a parametric principle of optimality is considered. This principle is defined by a partitioning of partial criteria onto Pareto preference relation groups within each group and the lexicographic ...
Sergey E. Bukhtoyarov +1 more
doaj +5 more sources
On the Quasistability Radius for a Multicriteria Integer Linear Programming Problem of Finding Extremum Solutions [PDF]
This article investigates the family of quantitative approaches and seeks for analytical bounds on the stability radius (different types of stability) for the multi-criteria problem of integer linear programming (ILP) with the Pareto optimality principle. The work concerns multi-criteria problems of ILP with an extremum optimality principle.
Emelichev, V., Nikulin, Yu.
exaly +7 more sources
Measure of stability of a Pareto optimal solution to a vector integer programming problem with fixed surcharges in the l1 and l∞ metrics [PDF]
In this paper we consider a vector integer programming problem with Pareto principle of optimality for the case where partial criteria belong to the class of separable piecewise linear functions. The limit level of the initial data's perturbations in the
Vladimir A. Emelichev +2 more
doaj +1 more source
About one discrete analog of Hausdorff semi-continuity of suitable mapping in a vector combinatorial problem with a parametric principle of optimality ("from Slater to lexicographic") [PDF]
multicriteria linear combinatorial problem is considered, principle of optimality of which is defined by a partitioning of partial criteria onto groups with Slater preference relation within each group and the lexicographic preference relation ...
Vladimir A. Emelichev +1 more
doaj +3 more sources
Quasistability of a Vector Trajectory Majority Optimization Problem
Mathematical Notes, 2002V A Emelichev
exaly
On a Measure of Quasistability of a Certain Vector Linearly Combinatorial Boolean Problem
Russian Mathematics, 2010V A Emelichev, K G Kuz'min
exaly
Quasistability of the Pomeranchukon in a Reggeon Calculus Model
Physical Review D, 1973J B Bronzan
exaly
On the Quasistability of Trajectory Problems of Vector Optimization
Mathematical Notes, 1996V A Emelichev
exaly

