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GISベース多基準意思決定分析 (GIS-MCDA)×最小費用経路 / 費用距離解析×線形計画法×
分野空間分析空間分析最適化
系統Process / pipelineProcess / pipelineProcess / pipeline
提唱年200619941947
提唱者Jacek Malczewski (GIS-MCDA synthesis)Edsger Dijkstra (shortest path); GIS cost-surface adaptationGeorge B. Dantzig
種類Spatial multi-criteria suitability/decision analysisRaster cost-surface routingMathematical programming / continuous optimization
原典Malczewski, 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
別名GIS-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)
関連434
概要GIS-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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ScholarGate手法を比較: GIS-MCDA · Least-Cost Path · Linear Programming. 2026-06-17に以下より取得 https://scholargate.app/ja/compare