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분야공간분석최적화
계열Process / pipelineProcess / pipeline
기원 연도19941947
창시자Edsger Dijkstra (shortest path); GIS cost-surface adaptationGeorge B. Dantzig
유형Raster cost-surface routingMathematical programming / continuous optimization
원전Dijkstra, E. W. (1959). A note on two problems in connexion with graphs. Numerische Mathematik, 1(1), 269–271. DOI ↗Dantzig, G.B. (1963). Linear Programming and Extensions. Princeton University Press. ISBN: 9780691059136
별칭cost-distance analysis, accumulated cost surface, least-cost corridor, en düşük maliyetli yolLP, linear optimization, Doğrusal Programlama (LP)
관련34
요약Least-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.Linear programming (LP), pioneered by George B. Dantzig in 1947, is a mathematical method for finding the best value of a linear objective function — such as minimum cost or maximum profit — subject to a set of linear inequality and equality constraints. It is the foundational technique in operations research and underlies production planning, resource allocation, logistics, diet problems, and countless other decision-making scenarios across engineering, economics, and the natural sciences.
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