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Linearno programiranje×Nelinearno programiranje×Robustna optimizacija×
OblastOptimizacijaOptimizacijaOptimizacija
PorodicaProcess / pipelineProcess / pipelineProcess / pipeline
Godina nastanka194720061970s theoretical roots; modern tractable form from late 1990s–2004
TvoracGeorge B. DantzigJorge Nocedal & Stephen WrightBen-Tal, El Ghaoui & Nemirovski (seminal book, 2009); Bertsimas & Sim (tractable polyhedral formulation, 2004)
TipMathematical programming / continuous optimizationContinuous mathematical optimizationMathematical programming framework
Temeljni izvorDantzig, G.B. (1963). Linear Programming and Extensions. Princeton University Press. ISBN: 9780691059136Nocedal, J., & Wright, S. J. (2006). Numerical Optimization (2nd ed.). Springer. ISBN: 978-0-387-30303-1Ben-Tal, A., El Ghaoui, L. & Nemirovski, A. (2009). Robust Optimization. Princeton University Press. ISBN: 9780691143682
Drugi naziviLP, linear optimization, Doğrusal Programlama (LP)NLP optimization, Constrained nonlinear optimization, Smooth optimization, Doğrusal olmayan programlamaminimax optimization, worst-case optimization, Gürbüz Optimizasyon (Robust Optimization)
Srodne435
SažetakLinear 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.Nonlinear programming (NLP) is a branch of mathematical optimization concerned with problems in which the objective function or at least one constraint is nonlinear. Formalized comprehensively by Jorge Nocedal and Stephen Wright in their seminal 2006 text, NLP encompasses gradient-based algorithms — including sequential quadratic programming (SQP), interior-point methods, and quasi-Newton approaches — for finding locally or globally optimal solutions to continuous decision problems arising across engineering, economics, and the physical sciences.Robust optimization is a mathematical programming framework, formalised by Ben-Tal and Nemirovski in the late 1990s and made broadly tractable by Bertsimas and Sim (2004), that finds decisions guaranteed to perform acceptably under every scenario within a predefined uncertainty set — rather than assuming parameter values are known exactly. Instead of optimising for a single expected outcome, it minimises the worst-case objective across all plausible realisations of uncertain data.
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ScholarGateUporedite metode: Linear Programming · Nonlinear Programming · Robust Optimization. Preuzeto 2026-06-15 sa https://scholargate.app/sr/compare