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로케이션-할당 모델×공간 상호작용 (중력) 모형×
분야공간분석공간분석
계열Process / pipelineRegression model
기원 연도19631971
창시자Leon Cooper; S. L. HakimiAlan Wilson (entropy-maximizing family)
유형Spatial facility-location optimizationModel of flows between spatial origins and destinations
원전Cooper, L. (1963). Location-allocation problems. Operations Research, 11(3), 331–343. DOI ↗Wilson, A. G. (1971). A family of spatial interaction models, and associated developments. Environment and Planning A, 3(1), 1–32. DOI ↗
별칭facility location, p-median problem, maximal covering location problem, yer-tahsis modellerigravity model, spatial interaction model, competing destinations model, mekânsal etkileşim modeli
관련44
요약Location-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.Spatial interaction models predict the volume of flows — migrants, commuters, shoppers, trade, trips — between origins and destinations as a function of the size of each place and the distance or cost separating them. By analogy to Newton's gravity, interaction rises with the 'mass' of origin and destination and falls with separation, and Wilson's 1971 entropy-maximizing family put these models on a rigorous footing for transport, migration, and retail analysis.
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