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Pad van de Minste Kosten / Kosten-Afstandsanalyse×Locatie-allocatiemodellen×Probleemstelling van het Voertuigrouteringsprobleem (VRP)×
VakgebiedRuimtelijke analyseRuimtelijke analyseOptimalisatie
FamilieProcess / pipelineProcess / pipelineProcess / pipeline
Jaar van ontstaan199419631959
GrondleggerEdsger Dijkstra (shortest path); GIS cost-surface adaptationLeon Cooper; S. L. HakimiGeorge Dantzig & John Ramser
TypeRaster cost-surface routingSpatial facility-location optimizationCombinatorial optimization problem
Oorspronkelijke bronDijkstra, E. W. (1959). A note on two problems in connexion with graphs. Numerische Mathematik, 1(1), 269–271. DOI ↗Cooper, L. (1963). Location-allocation problems. Operations Research, 11(3), 331–343. DOI ↗Dantzig, G. B., & Ramser, J. H. (1959). The truck dispatching problem. Management Science, 6(1), 80–91. DOI ↗
Aliassencost-distance analysis, accumulated cost surface, least-cost corridor, en düşük maliyetli yolfacility location, p-median problem, maximal covering location problem, yer-tahsis modelleriCapacitated Vehicle Routing Problem, Fleet Routing Problem, Multi-Vehicle Routing Problem, Araç Rotalama Problemi
Verwant343
SamenvattingLeast-cost path analysis finds the route between two locations that minimizes accumulated travel cost across a landscape, rather than minimizing straight-line distance. By encoding terrain, slope, land cover, and other frictions into a cost surface and accumulating cost outward from a source, it identifies optimal corridors for roads, pipelines, trails, power lines, and wildlife movement — a core raster-GIS technique built on Dijkstra's shortest-path logic.Location-allocation models decide where to place a set of facilities and simultaneously assign demand points to them so as to optimize an objective such as total travel cost, worst-case distance, or population covered. Rooted in the operations-research work of Cooper (1963) and Hakimi (1964) and central to network GIS, they answer questions like where to site warehouses, hospitals, fire stations, or schools to best serve a spatially distributed population.The Vehicle Routing Problem (VRP) seeks the minimum-cost set of routes for a fleet of vehicles to serve a collection of geographically dispersed customers, each with a known demand, departing from and returning to a central depot. Originally formulated as the Truck Dispatching Problem by Dantzig and Ramser in 1959, VRP is a foundational model in logistics, supply chain management, and operations research, applicable whenever goods or services must be delivered efficiently across multiple stops.
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ScholarGateMethoden vergelijken: Least-Cost Path · Location-Allocation · Vehicle Routing Problem. Geraadpleegd op 2026-06-19 via https://scholargate.app/nl/compare