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| Modeli lokacije-alokacije× | GIS-temeljena višekriterijska analiza odlučivanja (GIS-MCDA)× | Cjelobrojno programiranje× | Linearno programiranje× | |
|---|---|---|---|---|
| Područje≠ | Prostorna analiza | Prostorna analiza | Optimizacija | Optimizacija |
| Obitelj | Process / pipeline | Process / pipeline | Process / pipeline | Process / pipeline |
| Godina nastanka≠ | 1963 | 2006 | 1958 | 1947 |
| Tvorac≠ | Leon Cooper; S. L. Hakimi | Jacek Malczewski (GIS-MCDA synthesis) | Ralph Gomory (cutting planes, 1958); land-and-doig branch-and-bound (1960) | George B. Dantzig |
| Vrsta≠ | Spatial facility-location optimization | Spatial multi-criteria suitability/decision analysis | Mathematical optimisation — exact combinatorial method | Mathematical programming / continuous optimization |
| Temeljni izvor≠ | Cooper, L. (1963). Location-allocation problems. Operations Research, 11(3), 331–343. DOI ↗ | 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 | Dantzig, G.B. (1963). Linear Programming and Extensions. Princeton University Press. ISBN: 9780691059136 |
| Drugi nazivi≠ | facility location, p-median problem, maximal covering location problem, yer-tahsis modelleri | GIS-MCDM, spatial multi-criteria analysis, GIS-AHP, weighted overlay suitability | IP, MIP, mixed-integer programming, mixed-integer linear programming | LP, linear optimization, Doğrusal Programlama (LP) |
| Srodne | 4 | 4 | 4 | 4 |
| Sažetak≠ | 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. | 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. | 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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