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로케이션-할당 모델×정수 계획법(IP) 및 혼합 정수 계획법(MIP)×
분야공간분석최적화
계열Process / pipelineProcess / pipeline
기원 연도19631958
창시자Leon Cooper; S. L. HakimiRalph Gomory (cutting planes, 1958); land-and-doig branch-and-bound (1960)
유형Spatial facility-location optimizationMathematical optimisation — exact combinatorial method
원전Cooper, L. (1963). Location-allocation problems. Operations Research, 11(3), 331–343. DOI ↗Wolsey, L.A. (1998). Integer Programming. Wiley. ISBN: 9780471283669
별칭facility location, p-median problem, maximal covering location problem, yer-tahsis modelleriIP, MIP, mixed-integer programming, mixed-integer linear programming
관련44
요약Location-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.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.
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