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Модели за локация-разпределение×Анализ на най-малкия разход / анализ на разстоянието до разхода×Линейно оптимиране×
ОбластПространствен анализПространствен анализОптимизация
СемействоProcess / pipelineProcess / pipelineProcess / pipeline
Година на възникване196319941947
СъздателLeon Cooper; S. L. HakimiEdsger Dijkstra (shortest path); GIS cost-surface adaptationGeorge B. Dantzig
ТипSpatial facility-location optimizationRaster cost-surface routingMathematical programming / continuous optimization
Основополагащ източникCooper, L. (1963). Location-allocation problems. Operations Research, 11(3), 331–343. DOI ↗Dijkstra, 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
Други названияfacility location, p-median problem, maximal covering location problem, yer-tahsis modellericost-distance analysis, accumulated cost surface, least-cost corridor, en düşük maliyetli yolLP, linear optimization, Doğrusal Programlama (LP)
Свързани434
РезюмеLocation-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.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.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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ScholarGateСравнение на методи: Location-Allocation · Least-Cost Path · Linear Programming. Извлечено на 2026-06-17 от https://scholargate.app/bg/compare