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공간 상호작용 (중력) 모형×로케이션-할당 모델×
분야공간분석공간분석
계열Regression modelProcess / pipeline
기원 연도19711963
창시자Alan Wilson (entropy-maximizing family)Leon Cooper; S. L. Hakimi
유형Model of flows between spatial origins and destinationsSpatial facility-location optimization
원전Wilson, A. G. (1971). A family of spatial interaction models, and associated developments. Environment and Planning A, 3(1), 1–32. DOI ↗Cooper, L. (1963). Location-allocation problems. Operations Research, 11(3), 331–343. DOI ↗
별칭gravity model, spatial interaction model, competing destinations model, mekânsal etkileşim modelifacility location, p-median problem, maximal covering location problem, yer-tahsis modelleri
관련44
요약Spatial 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.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.
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