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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2012 Number 3, Pages 9–16 (Mi ivm8440)

This article is cited in 2 papers

Types of maximally noninteger vertices of the relaxation polyhedron of the four-index axial assignment problem

M. K. Kravtsova, V. M. Kravtsovb

a Department of Economics and Mathematical Modeling, The Research Economic Institute, Ministry of Economics, Republic of Belarus, Minsk, Republic of Belarus
b AITOC "Nova Tur", Minsk, Republic of Belarus

Abstract: We describe various types of maximally noninteger vertices.We identify types of polyhedron vertices by the number of fractional components contained in three-sections of four-index matrices representing the polyhedron vertices.

Keywords: relaxation polyhedron of four-index axial assignment problem, maximally noninteger vertex, three-section of four-index matrix, vertex type.

UDC: 519.7

Received: 16.03.2011


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:3, 6–13

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