Closed form of \(L\)-localized solution set of MAX-plus interval linear system and its application on optimization problem

DOI10.1016/j.cam.2016.11.027zbMath1357.65052OpenAlexW2559199619MaRDI QIDQ507970

Phantipa Thipwiwatpotjana, Worrawate Leela-apiradee, Artur Gorka

Publication date: 9 February 2017

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2016.11.027

zbMATH Keywords

linear systemoptimization problemmax-plus algebrainterval system\(L\)-localized solutions

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Linear programming (90C05) Interval and finite arithmetic (65G30) Max-plus and related algebras (15A80)

Related Items (5)

Interval strong solutions of interval systems of max-plus linear equations ⋮ Relatively maximal perturbation bounds for global robustness of max‐plus linear systems ⋮ Approximately global optimal control for max-plus linear systems and its application on load distribution ⋮ Global optimization for max-plus linear systems and applications in distributed systems ⋮ An algorithm for solving two-sided interval system of max-plus linear equations

Cites Work

• Optimistic optimization for model predictive control of \(\max\)-plus linear systems
• Weak and strong solvability of interval linear systems of equations and inequalities
• \(L\)- and \(R\)-localized solvabilities of max-separable interval linear equations and its applications
• New characterizations for the solution set to interval linear systems of equations
• Localized solutions to interval linear equations
• On max-plus linear dynamical system theory: the regulation problem
• Control solvability of interval systems of max-separable linear equations
• Introduction to Interval Analysis
• Linear Optimization Problems with Inexact Data
• Interval systems of max-separable linear equations
• Interval systems of max-separable linear equations
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