Search results for "Polygonal chain"

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Solving the length constrained K-drones rural postman problem

2021

[EN] In this paper we address the Length Constrained K-Drones Rural Postman Problem (LC K-DRPP). This is a continuous optimization problem where a fleet of homogeneous drones have to jointly service (traverse) a set of (curved or straight) lines of a network. Unlike the vehicles in classical arc routing problems, a drone can enter a line through any of its points, service a portion of that line, exit through another of its points, then travel directly to any point on another line, and so on. Moreover, since the range of the drones is restricted, the length of each route is limited by a maximum distance. Some applications for drone arc routing problems include inspection of pipelines, railwa…

Arc routingMatheuristicInformation Systems and ManagementTraverseGeneral Computer ScienceHeuristic (computer science)Computer science0211 other engineering and technologiesLength constraintsLogistics02 engineering and technologyManagement Science and Operations ResearchIndustrial and Manufacturing Engineering0502 economics and businessPoint (geometry)Finite setDrones050210 logistics & transportation021103 operations researchHeuristic05 social sciencesRange (mathematics)Modeling and SimulationPolygonal chainLine (geometry)MATEMATICA APLICADAAlgorithmArc routingEuropean Journal of Operational Research
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Skeletizing 3D-Objects by Projections

2004

Skeletization is used to simplify an object and to give an idea of the global shape of an object. This paper concerns the continuous domain. While many methods already exist, they are mostly applied in 2D-space. We present a new method to skeletize the polygonal approximation of a 3D-object, based on projections and 2D-skeletization from binary trees.

Mathematical optimizationBinary treeDelaunay triangulationPolygonal chainSpace (commercial competition)Object (computer science)AlgorithmMathematicsDomain (software engineering)
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