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Lập trình nguyên (Integer Programming×Phân tích Khu vực Dịch vụ×
Lĩnh vựcTối ưu hóaPhân tích không gian
HọProcess / pipelineProcess / pipeline
Năm ra đời19582001
Người khởi xướngRalph Gomory (cutting planes, 1958); land-and-doig branch-and-bound (1960)Harvey Miller & Shih-Lung Shaw
LoạiMathematical optimisation — exact combinatorial methodNetwork GIS pipeline
Công trình gốcWolsey, L.A. (1998). Integer Programming. Wiley. ISBN: 9780471283669Miller, H. J., & Shaw, S.-L. (2001). Geographic Information Systems for Transportation: Principles and Applications. Oxford University Press. ISBN: 978-0-19-512394-4
Tên gọi khácIP, MIP, mixed-integer programming, mixed-integer linear programmingIsochrone Analysis, Network Catchment Area Analysis, Travel-Time Polygon Analysis, Hizmet Alanı Analizi
Liên quan43
Tóm tắtInteger 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.Service Area Analysis delineates the geographic region reachable from one or more origin facilities within a specified travel cost — typically time, distance, or generalized impedance — by traversing a real road or transit network. It is widely used by urban planners, public health officials, logistics managers, and emergency response coordinators who need to understand actual accessibility rather than simple straight-line buffers.
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