เปรียบเทียบวิธี
ดูวิธีที่เลือกเทียบกันแบบเคียงข้าง แถวที่ต่างกันจะถูกเน้นไว้
| แบบจำลองการจัดสรรตำแหน่งที่ตั้ง (Location-Allocation Models)× | การโปรแกรมจำนวนเต็ม (Integer Programming× | การโปรแกรมเชิงเส้น× | |
|---|---|---|---|
| สาขาวิชา≠ | การวิเคราะห์เชิงพื้นที่ | การหาค่าเหมาะที่สุด | การหาค่าเหมาะที่สุด |
| ตระกูล | Process / pipeline | Process / pipeline | Process / pipeline |
| ปีกำเนิด≠ | 1963 | 1958 | 1947 |
| ผู้ริเริ่ม≠ | Leon Cooper; S. L. Hakimi | Ralph Gomory (cutting planes, 1958); land-and-doig branch-and-bound (1960) | George B. Dantzig |
| ประเภท≠ | Spatial facility-location optimization | Mathematical optimisation — exact combinatorial method | Mathematical programming / continuous optimization |
| แหล่งต้นตำรับ≠ | Cooper, L. (1963). Location-allocation problems. Operations Research, 11(3), 331–343. DOI ↗ | Wolsey, L.A. (1998). Integer Programming. Wiley. ISBN: 9780471283669 | Dantzig, G.B. (1963). Linear Programming and Extensions. Princeton University Press. ISBN: 9780691059136 |
| ชื่อเรียกอื่น≠ | facility location, p-median problem, maximal covering location problem, yer-tahsis modelleri | IP, MIP, mixed-integer programming, mixed-integer linear programming | LP, linear optimization, Doğrusal Programlama (LP) |
| ที่เกี่ยวข้อง | 4 | 4 | 4 |
| สรุป≠ | 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. | 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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