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| Ścieżka najmniejszego kosztu / Analiza kosztu-dystansu× | Modele lokalizacyjno-alokacyjne× | |
|---|---|---|
| Dziedzina | Analiza przestrzenna | Analiza przestrzenna |
| Rodzina | Process / pipeline | Process / pipeline |
| Rok powstania≠ | 1994 | 1963 |
| Twórca≠ | Edsger Dijkstra (shortest path); GIS cost-surface adaptation | Leon Cooper; S. L. Hakimi |
| Typ≠ | Raster cost-surface routing | Spatial facility-location optimization |
| Źródło pierwotne≠ | Dijkstra, 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 ↗ |
| Inne nazwy | cost-distance analysis, accumulated cost surface, least-cost corridor, en düşük maliyetli yol | facility location, p-median problem, maximal covering location problem, yer-tahsis modelleri |
| Pokrewne≠ | 3 | 4 |
| Podsumowanie≠ | 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. | 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. |
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