方法对比
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| 区位-分配模型× | 线性规划× | |
|---|---|---|
| 领域≠ | 空间分析 | 优化 |
| 方法族 | Process / pipeline | Process / pipeline |
| 起源年份≠ | 1963 | 1947 |
| 提出者≠ | Leon Cooper; S. L. Hakimi | George B. Dantzig |
| 类型≠ | Spatial facility-location optimization | Mathematical programming / continuous optimization |
| 开创性文献≠ | Cooper, L. (1963). Location-allocation problems. Operations Research, 11(3), 331–343. DOI ↗ | Dantzig, G.B. (1963). Linear Programming and Extensions. Princeton University Press. ISBN: 9780691059136 |
| 别名≠ | facility location, p-median problem, maximal covering location problem, yer-tahsis modelleri | LP, linear optimization, Doğrusal Programlama (LP) |
| 相关 | 4 | 4 |
| 摘要≠ | 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. | 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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