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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2006, Volume 46, Number 10, Pages 1908–1912
(Mi zvmmf407)
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This article is cited in 3 scientific papers (total in 3 papers)
Description of the types of maximum noninteger vertices of the polyhedron in the three-index axial assignment problem
V. M. Kravtsov Belarussian State University, pr. Nezavisimosti 4, Minsk, 220050, Belarus
Abstract:
For an arbitrary $r\in\{3n-4,3n-3,3n-2\}$, a description of all the types of $r$-noninteger vertices (i.e., the vertices with $r$ fractional components) of the polyhedron of the three-index axial assignment problem of order $n$ with $n\ge4$ is proposed.
Key words:
polyhedron of the three-index axial assignment problem, $r$-noninteger vertex, maximum noninteger vertex, identification of vertex types.
Received: 27.01.2006
Citation:
V. M. Kravtsov, “Description of the types of maximum noninteger vertices of the polyhedron in the three-index axial assignment problem”, Zh. Vychisl. Mat. Mat. Fiz., 46:10 (2006), 1908–1912; Comput. Math. Math. Phys., 46:10 (2006), 1821–1825
Linking options:
https://www.mathnet.ru/eng/zvmmf407 https://www.mathnet.ru/eng/zvmmf/v46/i10/p1908
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