TY - JOUR A1 - Emelichev, V. A. A1 - Girlich, E. A1 - Podkopaev, D. P. T1 - Several kinds of Stability of efficient Solutions in Vector Trajectorial discrete Optimization Problem N2 - This work was partially supported by DAAD, Fundamental Researches Foundation of Belarus and International Soros Science Education Program We consider a vector discrete optimization problem on a system of non- empty subsets (trajectories) of a finite set. The vector criterion of the pro- blem consists partial criterias of the kinds MINSUM, MINMAX and MIN- MIN. The stability of eficient (Pareto optimal, Slater optimal and Smale op- timal) trajectories to perturbations of vector criterion parameters has been investigated. Suficient and necessary conditions of eficient trajectories local stability have been obtained. Lower evaluations of eficient trajectories sta- bility radii, and formulas in several cases, have been found for the case when l(inf) -norm is defined in the space of vector criterion parameters. KW - Diskrete Optimierung KW - Stabilität KW - Trajektorie (Mathematik) Y1 - 1997 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20111215-5030 ER - TY - CHAP A1 - Kovalev, M. T1 - CAD and Discrete Optimization N2 - Review of Discrete Optimization Techniques for CAD Discrete optimization in the structure design Morphological method The alternative graph approach Convex discrete optimization without objective function Matroidal Decomposition in design Decomposition of layered matrices Discrete Optimization in Designing Packing problem Optimal arrangement of rectangles and shortest paths in L1-metrics Partition problems Discrete optimization in computational geometry and computer graphics Maxima of a point set on the plane Triangulation One of the main problems in computer graphics is removing hidden lines and surfaces KW - CAD KW - Diskrete Optimierung Y1 - 1997 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20111215-4214 ER -