@article{EmelichevGirlichPodkopaev1997, author = {Emelichev, V. A. and Girlich, E. and Podkopaev, D. P.}, title = {Several kinds of Stability of efficient Solutions in Vector Trajectorial discrete Optimization Problem}, doi = {10.25643/bauhaus-universitaet.503}, url = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20111215-5030}, year = {1997}, abstract = {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.}, subject = {Diskrete Optimierung}, language = {en} }