naa a22 4500 510810020 CHVBK 20180411083438.0 cr unu---uuuuu 180411e20130701xx s 000 0 eng 10.1134/S106423071304014X doi (NATIONALLICENCE)springer-10.1134/S106423071304014X Iterative method for the transportation problem with additional supply and consumption points and quadratic cost [Elektronische Daten] [A. Sokolov, A. Tizik, V. Tsurkov] Earlier, a method for solving the classical integer-valued transportation problem based on the decomposition of the original problem into a sequence of two-dimensional problems with the subsequent recalculation of the coefficients of the objective functions was proposed. In the present paper, this method is elaborated for the case when there are additional supply and consumption points and the cost of the corresponding transshipments quadratically depends on the load amount. In this way, the algorithm is directly extended to an important class of nonlinear transportation problems. Pleiades Publishing, Ltd., 2013 Sokolov A. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, 119333, Moscow, Russia aut Tizik A. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, 119333, Moscow, Russia aut Tsurkov V. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, 119333, Moscow, Russia aut Journal of Computer and Systems Sciences International Springer US; http://www.springer-ny.com 52/4(2013-07-01), 588-598 1064-2307 52:4<588 2013 52 11488 https://doi.org/10.1134/S106423071304014X text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S106423071304014X text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Sokolov A. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, 119333, Moscow, Russia aut NATIONALLICENCE 700 1- Tizik A. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, 119333, Moscow, Russia aut NATIONALLICENCE 700 1- Tsurkov V. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, 119333, Moscow, Russia aut NATIONALLICENCE 773 0- Journal of Computer and Systems Sciences International Springer US; http://www.springer-ny.com 52/4(2013-07-01), 588-598 1064-2307 52:4<588 2013 52 11488 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer