Decomposition Algorithm for a Nonlinear Three-Index Transportation Problem

Vladimir Lobantsov (), Alexander Tizik, Vladimir Tsurkov and Ivan Matveev ()
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Vladimir Lobantsov: Department of Higher Mathematics, Physics and Computer Science, State University of Land Use Planning, 15 Kazakov St., Moscow 105064, Russia
Alexander Tizik: Central Research Institute of Communications, 8, 1st Perova Polya Proezd, Moscow 111141, Russia
Vladimir Tsurkov: Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, 42 Vavilov St., Moscow 119333, Russia
Ivan Matveev: Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, 42 Vavilov St., Moscow 119333, Russia

Mathematics, 2025, vol. 13, issue 6, 1-11

Abstract: A three-index transportation problem is considered, where the indices stand for supplier, consumer, and type of product. A quite broad statement is allowed, including additional points of production, consumption, and nonlinear transportation costs therein. The solution method is a further development of a universal approach proposed earlier by the authors, which is based on the decomposition of the original problem into a sequence of two-dimensional problems with the recalculation of the objective function coefficients. This paper demonstrates the customization of the method to a nonlinear three-index problem.

Keywords: transportation problem; decomposition; generalized suppliers; generalized consumers (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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