Construction and algebraic characterizations of the planar and axial transportation problems

DOI10.1006/jmaa.1997.5843zbMath0910.90212OpenAlexW1965840109MaRDI QIDQ1270853

S. Aysun Bulut

Publication date: 24 January 1999

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5843

zbMATH Keywords

planar and axial transportation problems

Mathematics Subject Classification ID

Special problems of linear programming (transportation, multi-index, data envelopment analysis, etc.) (90C08)

Related Items (4)

An axial four-index transportation problem and its algebraic characterizations ⋮ Some new results on the algebraic characterizations of an equality constrained optimization problem equivalent to the transportation problem ⋮ Some consequences on the planar three-index transportation problem ⋮ Construction and algebraic characterizations of a planar four-index transportation problem equivalent to a circularization network flow problem

Cites Work

• Algebraic characterizations of the singular value decompositions in the transportation problem
• On the dimension of polytopes of planar three-index transportation problems
• Singular Value Decomposition and the Moore–Penrose Inverse of Bordered Matrices
• Generalizing the Singular Value Decomposition
• A generalized-indices transportation problem
• The Generalized Inverse in Linear Programming—An Intersection Projection Method and the Solution of a Class of Structured Linear Programming Problems
• The Multi-Index Problem
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