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We examine two multidimensional optimization problems that are formulated in terms of tropical mathematics.
Projections in minimax algebra
R. A. Cuninghame-Green · 1976
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Minimax Algebra
R. Cuninghame-Green · 1979
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Linear and Combinatorial Optimization in Ordered Algebraic Structures
U. Zimmermann · 1981
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On max-separable optimization problems
K. Zimmermann · 1984
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Some optimization problems with extremal operations
K. Zimmermann · 1984
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Synchronization and Linearity: An Algebra for Discrete Event Systems
F. L. Baccelli, G. Cohen, G. J. Olsder, and J.-P. Quadrat · 1993
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Minimax algebra and applications
R. A. Cuninghame-Green · 1994
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Max-Algebraic System Theory for Discrete Event Systems
B. De Schutter · 1996
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Idempotent Analysis and Its Applications
V. N. Kolokoltsov and V. P. Maslov · 1997
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Semirings and Affine Equations Over Them: Theory and Applications
J. S. Golan · 2003
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Disjunctive optimization, max-separable problems and extremal algebras
K. Zimmermann · 2003
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On solution of linear vector equations in idempotent algebra
N. K. Krivulin · 2005
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Max-plus at Work: Modeling and Analysis of Synchronized Systems
B. Heidergott, G. J. Olsder, and J. van der Woude · 2006
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Interval linear systems and optimization problems over max-algebras
K. Zimmermann · 2006
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The Maslov dequantization, idempotent and tropical mathematics: A brief introduction
G. Litvinov · 2007
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Graphs, Dioids and Semirings: New Models and Algorithms
M. Gondran and M. Minoux · 2008
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Methods of Idempotent Algebra for Problems in Modeling and Analysis of Complex Systems
N. K. Krivulin · 2009
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Max-linear Systems: Theory and Algorithms
P. Butkovič · 2010
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An algebraic approach to multidimensional minimax location problems with Chebyshev distance
N. Krivulin · 2011
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A new algebraic solution to multidimensional minimax location problems with Chebyshev distance
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Max-plus algebra
M. Akian, R. Bapat, and S. Gaubert · 2007
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N. Krivulin · 2012
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Solution of linear equations and inequalities in idempotent vector spaces
N. Krivulin · 2013
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