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Heltallsprogrammering×Lokalisasjons-allokeringsmodeller×
FagfeltOptimeringRomlig analyse
FamilieProcess / pipelineProcess / pipeline
Opprinnelsesår19581963
OpphavspersonRalph Gomory (cutting planes, 1958); land-and-doig branch-and-bound (1960)Leon Cooper; S. L. Hakimi
TypeMathematical optimisation — exact combinatorial methodSpatial facility-location optimization
Opprinnelig kildeWolsey, L.A. (1998). Integer Programming. Wiley. ISBN: 9780471283669Cooper, L. (1963). Location-allocation problems. Operations Research, 11(3), 331–343. DOI ↗
AliasIP, MIP, mixed-integer programming, mixed-integer linear programmingfacility location, p-median problem, maximal covering location problem, yer-tahsis modelleri
Relaterte44
SammendragInteger 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.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.
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ScholarGateSammenlign metoder: Integer Programming · Location-Allocation. Hentet 2026-06-17 fra https://scholargate.app/no/compare