手法を比較

	ロケーション・アロケーション・モデル	空間的相互作用（重力）モデル
分野	空間分析	空間分析
系統	Process / pipeline	Regression model
提唱年	1963	1971
提唱者	Leon Cooper; S. L. Hakimi	Alan Wilson (entropy-maximizing family)
種類	Spatial facility-location optimization	Model of flows between spatial origins and destinations
原典	Cooper, L. (1963). Location-allocation problems. Operations Research, 11(3), 331–343.	Wilson, A. G. (1971). A family of spatial interaction models, and associated developments. Environment and Planning A, 3(1), 1–32.
別名	facility location, p-median problem, maximal covering location problem, yer-tahsis modelleri	gravity model, spatial interaction model, competing destinations model, mekânsal etkileşim modeli
関連	4	4
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.	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.