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| Phân tích Quyết định Đa Tiêu Chí dựa trên GIS (GIS-MCDA)× | Lập trình nguyên (Integer Programming× | Phân tích đường đi chi phí tối thiểu / khoảng cách chi phí× | |
|---|---|---|---|
| Lĩnh vực≠ | Phân tích không gian | Tối ưu hóa | Phân tích không gian |
| Họ | Process / pipeline | Process / pipeline | Process / pipeline |
| Năm ra đời≠ | 2006 | 1958 | 1994 |
| Người khởi xướng≠ | Jacek Malczewski (GIS-MCDA synthesis) | Ralph Gomory (cutting planes, 1958); land-and-doig branch-and-bound (1960) | Edsger Dijkstra (shortest path); GIS cost-surface adaptation |
| Loại≠ | Spatial multi-criteria suitability/decision analysis | Mathematical optimisation — exact combinatorial method | Raster cost-surface routing |
| Công trình gốc≠ | Malczewski, J. (2006). GIS-based multicriteria decision analysis: a survey of the literature. International Journal of Geographical Information Science, 20(7), 703–726. DOI ↗ | Wolsey, L.A. (1998). Integer Programming. Wiley. ISBN: 9780471283669 | Dijkstra, E. W. (1959). A note on two problems in connexion with graphs. Numerische Mathematik, 1(1), 269–271. DOI ↗ |
| Tên gọi khác≠ | GIS-MCDM, spatial multi-criteria analysis, GIS-AHP, weighted overlay suitability | IP, MIP, mixed-integer programming, mixed-integer linear programming | cost-distance analysis, accumulated cost surface, least-cost corridor, en düşük maliyetli yol |
| Liên quan≠ | 4 | 4 | 3 |
| Tóm tắt≠ | 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. | Integer programming (IP), also called mixed-integer programming (MIP) when only some variables are restricted to whole numbers, is a branch of mathematical optimisation in which some or all decision variables must take integer or binary values. Building on linear programming, it was formalised through Ralph Gomory's cutting-plane method (1958) and the Land-and-Doig branch-and-bound algorithm (1960), and it has since become the standard exact framework for scheduling, assignment, routing, and resource-allocation problems. | Least-cost path analysis finds the route between two locations that minimizes accumulated travel cost across a landscape, rather than minimizing straight-line distance. By encoding terrain, slope, land cover, and other frictions into a cost surface and accumulating cost outward from a source, it identifies optimal corridors for roads, pipelines, trails, power lines, and wildlife movement — a core raster-GIS technique built on Dijkstra's shortest-path logic. |
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