On the route construction in changing environments using solutions of the eikonal equation

DOI10.35634/2226-3594-2021-58-04zbMath1483.65098OpenAlexW4200173793MaRDI QIDQ5067411

Anna Anan'evna Lempert, Aleksandr Leonidovich Kazakov

Publication date: 1 April 2022

Published in: Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/iimi421

zbMATH Keywords

optimizationcomputational algorithmvehicle routing problemeikonal equationoptical-geometric approach

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Transportation, logistics and supply chain management (90B06) Approximation methods and heuristics in mathematical programming (90C59) Combinatorial optimization (90C27)

Uses Software

• VRP
• Algorithm 97

Cites Work

• Unnamed Item
• A note on two problems in connexion with graphs
• Survey of robot 3D path planning algorithms
• Eikonal equation for anisotropic media
• Classifying simple closed curve pairs in the 2-sphere and a generalization of the Schoenflies theorem
• An approach to optimization in transport logistics
• The traveling salesman problem and its variations.
• Variational Methods with Applications in Science and Engineering
• Vehicle Routing
• Nanofluid flow past an impulsively started vertical plate with variable surface temperature
• To the question of optimization of the starting point in the routing problem with restrictions
• A Theorem on Boolean Matrices

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