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Многокритериальный анализ решений на основе ГИС (GIS-MCDA)×Анализ наименьшей стоимости пути / анализ стоимости расстояния×Линейное программирование×
ОбластьПространственный анализПространственный анализОптимизация
СемействоProcess / pipelineProcess / pipelineProcess / pipeline
Год появления200619941947
Автор методаJacek Malczewski (GIS-MCDA synthesis)Edsger Dijkstra (shortest path); GIS cost-surface adaptationGeorge B. Dantzig
ТипSpatial multi-criteria suitability/decision analysisRaster cost-surface routingMathematical programming / continuous optimization
Основополагающий источникMalczewski, J. (2006). GIS-based multicriteria decision analysis: a survey of the literature. International Journal of Geographical Information Science, 20(7), 703–726. 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
Другие названияGIS-MCDM, spatial multi-criteria analysis, GIS-AHP, weighted overlay suitabilitycost-distance analysis, accumulated cost surface, least-cost corridor, en düşük maliyetli yolLP, linear optimization, Doğrusal Programlama (LP)
Связанные434
СводкаGIS-MCDA combines the map layers of a geographic information system with multi-criteria decision analysis to produce suitability or priority maps — ranking locations by how well they satisfy several weighted criteria at once. It is the standard framework for spatial decisions such as siting hospitals, solar farms, landfills, or evacuation areas, integrating methods like AHP, TOPSIS, and weighted overlay with spatial data.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 методов: GIS-MCDA · Least-Cost Path · Linear Programming. Получено 2026-06-17 из https://scholargate.app/ru/compare