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תכנון לינארי×אופטימיזציה רובוסטית×
תחוםאופטימיזציהאופטימיזציה
משפחהProcess / pipelineProcess / pipeline
שנת המקור19471970s theoretical roots; modern tractable form from late 1990s–2004
הוגה השיטהGeorge B. DantzigBen-Tal, El Ghaoui & Nemirovski (seminal book, 2009); Bertsimas & Sim (tractable polyhedral formulation, 2004)
סוגMathematical programming / continuous optimizationMathematical programming framework
מקור מכונןDantzig, G.B. (1963). Linear Programming and Extensions. Princeton University Press. ISBN: 9780691059136Ben-Tal, A., El Ghaoui, L. & Nemirovski, A. (2009). Robust Optimization. Princeton University Press. ISBN: 9780691143682
כינוייםLP, linear optimization, Doğrusal Programlama (LP)minimax optimization, worst-case optimization, Gürbüz Optimizasyon (Robust Optimization)
קשורות45
תקצירLinear 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.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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ScholarGateהשוואת שיטות: Linear Programming · Robust Optimization. אוחזר בתאריך 2026-06-15 מתוך https://scholargate.app/he/compare