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Optimisasi Konveks×Pengaturcaraan Linear×
BidangPengoptimumanPengoptimuman
KeluargaProcess / pipelineProcess / pipeline
Tahun asal20041947
PengasasStephen Boyd & Lieven VandenbergheGeorge B. Dantzig
JenisMathematical optimization frameworkMathematical programming / continuous optimization
Sumber perintisBoyd, S., & Vandenberghe, L. (2004). Convex Optimization. Cambridge University Press. ISBN: 978-0-521-83378-3Dantzig, G.B. (1963). Linear Programming and Extensions. Princeton University Press. ISBN: 9780691059136
AliasConvex Programming, Disciplined Convex Programming, Dışbükey Optimizasyon, Convex Mathematical ProgrammingLP, linear optimization, Doğrusal Programlama (LP)
Berkaitan34
RingkasanConvex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets. Formalized and popularized by Stephen Boyd and Lieven Vandenberghe in their landmark 2004 textbook, the framework unifies a wide family of problems — including linear programming, quadratic programming, semidefinite programming, and second-order cone programming — under a single theoretical roof. Its defining property is that any locally optimal solution is also globally optimal, making it tractable and reliable for engineering, statistics, machine learning, and operations research.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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ScholarGateBandingkan kaedah: Convex Optimization · Linear Programming. Dicapai 2026-06-15 daripada https://scholargate.app/ms/compare