Solution of mathematical programming problems using tropical optimization methods

DOI10.3103/S1063454117030104zbMath1439.90054OpenAlexW2753105376MaRDI QIDQ2289107

Nikolai Krivulin, J. V. Romanovsky

Publication date: 28 January 2020

Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1063454117030104

zbMATH Keywords

linear programmingmathematical programmingtropical mathematicsidempotent semifieldtropical optimization

Mathematics Subject Classification ID

Nonlinear programming (90C30) Linear programming (90C05) Tropical optimization (e.g., max-plus optimization) (90C24)

Cites Work

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• Direct solution to constrained tropical optimization problems with application to project scheduling
• Solution of a tropical optimization problem with linear constraints
• Extremal properties of tropical eigenvalues and solutions to tropical optimization problems
• A New Matrix Calculus
• Algebraic theory of linear inequalities
• On abstract dual linear programs

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