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ロケーション・アロケーション・モデル×GISベース多基準意思決定分析 (GIS-MCDA)×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196320061947
提唱者Leon Cooper; S. L. HakimiJacek Malczewski (GIS-MCDA synthesis)George B. Dantzig
種類Spatial facility-location optimizationSpatial multi-criteria suitability/decision analysisMathematical programming / continuous optimization
原典Cooper, L. (1963). Location-allocation problems. Operations Research, 11(3), 331–343. DOI ↗Malczewski, J. (2006). GIS-based multicriteria decision analysis: a survey of the literature. International Journal of Geographical Information Science, 20(7), 703–726. DOI ↗Dantzig, G.B. (1963). Linear Programming and Extensions. Princeton University Press. ISBN: 9780691059136
別名facility location, p-median problem, maximal covering location problem, yer-tahsis modelleriGIS-MCDM, spatial multi-criteria analysis, GIS-AHP, weighted overlay suitabilityLP, linear optimization, Doğrusal Programlama (LP)
関連444
概要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.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.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: Location-Allocation · GIS-MCDA · Linear Programming. 2026-06-17に以下より取得 https://scholargate.app/ja/compare