Interval multi-linear systems for tensors in the max-plus algebra and their application in solving the job shop problem

DOI10.14736/kyb-2022-5-0708OpenAlexW4317436242MaRDI QIDQ5878530

Aljoša Peperko, Sedighe Khaleghzade, Masoud Hajarian, Mostafa Zangiabadi

Publication date: 21 February 2023

Published in: Kybernetika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14736/kyb-2022-5-0708

zbMATH Keywords

weak solvabilitymax-plus algebrajob shop probleminterval tensormulti-linear systems

Mathematics Subject Classification ID

Interval and finite arithmetic (65G30) Multilinear algebra, tensor calculus (15A69) Linear equations (linear algebraic aspects) (15A06) Max-plus and related algebras (15A80)

Cites Work

• Interval max-plus systems of linear equations
• On the spectrum in max algebra
• Direct solution to constrained tropical optimization problems with application to project scheduling
• Interval tensors and their application in solving multi-linear systems of equations
• Spectral inequalities for nonnegative tensors and their tropical analogues
• Semigroups of max-plus linear operators
• An two phase ABS method for solving over-determined systems of linear inequalities
• Max-linear Systems: Theory and Algorithms
• Methods and applications of (max,+) linear algebra
• A Max-Plus algebra approach for generating a non-delay schedule
• Interval systems of max-separable linear equations
• Interval systems of max-separable linear equations
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