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| 最小費用経路 / 費用距離解析× | 車両巡回問題(VRP)× | |
|---|---|---|
| 分野≠ | 空間分析 | 最適化 |
| 系統 | Process / pipeline | Process / pipeline |
| 提唱年≠ | 1994 | 1959 |
| 提唱者≠ | Edsger Dijkstra (shortest path); GIS cost-surface adaptation | George Dantzig & John Ramser |
| 種類≠ | Raster cost-surface routing | Combinatorial optimization problem |
| 原典≠ | Dijkstra, E. W. (1959). A note on two problems in connexion with graphs. Numerische Mathematik, 1(1), 269–271. DOI ↗ | Dantzig, G. B., & Ramser, J. H. (1959). The truck dispatching problem. Management Science, 6(1), 80–91. DOI ↗ |
| 別名 | cost-distance analysis, accumulated cost surface, least-cost corridor, en düşük maliyetli yol | Capacitated Vehicle Routing Problem, Fleet Routing Problem, Multi-Vehicle Routing Problem, Araç Rotalama Problemi |
| 関連 | 3 | 3 |
| 概要≠ | Least-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. | 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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