Cherevatenko, Antonina2018-03-012018-03-012015Cherevatenko A. On solutions properties of continuous linear problems of optimal multiplex-partitioning of sets without constraints / Antonina Cherevatenko // Litteris et Artibus : proceedings of the 5th International youth science forum, November 26–28, 2015, Lviv, Ukraine / Lviv Polytechnic National University. – Lviv : Lviv Polytechnic Publishing House, 2015. – P. 22–25. – Bibliography: 5 titles.https://ena.lpnu.ua/handle/ntb/39485The paper presents some properties of the solutions of continuous problems of optimal multiplex-partitioning of sets. Such problems are considered in two versions: with given coordinates of centers or with their placing in a given region. The optimal solutions of continuous linear problems of optimal multiplex-partitioning of sets is obtained analytically as characteristic vector-functions of the k-th order subsets included into the optimal multiplex partition of the set Ω.ensets partitioning of the k-th orderoptimal multiplex-partitioning of setcontinuous problems of optimal sets partitioningVoronoi diagrams of the k -th orderConference Abstract22-25