विधियों की तुलना करें

	न्यूनतम-लागत पथ / लागत-दूरी विश्लेषण	वाहन रूटिंग समस्या (VRP)
क्षेत्र	स्थानिक विश्लेषण	अनुकूलन
परिवार	Process / pipeline	Process / pipeline
उद्भव वर्ष	1994	1959
प्रवर्तक	Edsger Dijkstra (shortest path); GIS cost-surface adaptation	George Dantzig & John Ramser
प्रकार	Raster cost-surface routing	Combinatorial optimization problem
मौलिक स्रोत	Dijkstra, E. W. (1959). A note on two problems in connexion with graphs. Numerische Mathematik, 1(1), 269–271.	Dantzig, G. B., & Ramser, J. H. (1959). The truck dispatching problem. Management Science, 6(1), 80–91.
उपनाम	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
संबंधित	3	3
सारांश	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.