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The Method to Solving Problem of The Optimal Partitioning Sets with Additional Bonds and Fixed Centers Of Subsets

Svetlana Us1 us-svetlana [at] yandex.ua
Olga Stanina2 stanina [at] i.ua
  1. Faculty of Information Technologies, National Mining University, Ukraine, Dnipro, Karl Marx Av., 19.
  2. Computer Science and Engineering Department, Ukrainian State University of Chemical Technology, Ukraine, Dnipro, Gagarin Ave. 8.
Abstract 

The mathematical model for optimal sets partition problem with additional bonds and fixed centers of subsets was proposed. An approach to solving this problems was described. The theorem about the optimal solution was proved.

Keywords 
location problem
the problem of optimal partitioning sets
Lagrange functional
optimization
mathematical programming
References 

[1] Kiseleva, E.M., Shor N.C. Continuous optimal partition of sets: Theory, Algorithms, Applications: Monograph. - Kiev: Naukova Dumka, 2005. – 564 p.

[2] The theory of optimal partitioning of sets in problems of pattern recognition, analysis, and identification systems / S.A. Us,, EM Kiseleva, LS Koryashkina / The Ministry of education and science of Ukraine; National Mining University. – D. : NMU, 2015. – 270 p.