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Phân tích Quyết định Đa Tiêu Chí dựa trên GIS (GIS-MCDA)×Lập trình nguyên (Integer Programming×Lập trình tuyến tính×
Lĩnh vựcPhân tích không gianTối ưu hóaTối ưu hóa
HọProcess / pipelineProcess / pipelineProcess / pipeline
Năm ra đời200619581947
Người khởi xướngJacek Malczewski (GIS-MCDA synthesis)Ralph Gomory (cutting planes, 1958); land-and-doig branch-and-bound (1960)George B. Dantzig
LoạiSpatial multi-criteria suitability/decision analysisMathematical optimisation — exact combinatorial methodMathematical programming / continuous optimization
Công trình gốcMalczewski, 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: 9780471283669Dantzig, G.B. (1963). Linear Programming and Extensions. Princeton University Press. ISBN: 9780691059136
Tên gọi khácGIS-MCDM, spatial multi-criteria analysis, GIS-AHP, weighted overlay suitabilityIP, MIP, mixed-integer programming, mixed-integer linear programmingLP, linear optimization, Doğrusal Programlama (LP)
Liên quan444
Tóm tắtGIS-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.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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ScholarGateSo sánh phương pháp: GIS-MCDA · Integer Programming · Linear Programming. Truy cập ngày 2026-06-16 từ https://scholargate.app/vi/compare