विधियों की तुलना करें
चुनी हुई विधियों की आमने-सामने समीक्षा करें; भिन्नता वाली पंक्तियाँ रेखांकित हैं।
| क्वाड्रेटिक प्रोग्रामिंग (QP)× | रैखिक प्रोग्रामन× | |
|---|---|---|
| क्षेत्र | अनुकूलन | अनुकूलन |
| परिवार | Process / pipeline | Process / pipeline |
| उद्भव वर्ष≠ | 1956 | 1947 |
| प्रवर्तक≠ | Marguerite Frank & Philip Wolfe | George B. Dantzig |
| प्रकार≠ | Constrained mathematical optimization | Mathematical programming / continuous optimization |
| मौलिक स्रोत≠ | Frank, M., & Wolfe, P. (1956). An algorithm for quadratic programming. Naval Research Logistics Quarterly, 3(1–2), 95–110. DOI ↗ | Dantzig, G.B. (1963). Linear Programming and Extensions. Princeton University Press. ISBN: 9780691059136 |
| उपनाम≠ | QP Optimization, Quadratic Optimization, Convex Quadratic Programming, İkinci Dereceden Programlama | LP, linear optimization, Doğrusal Programlama (LP) |
| संबंधित≠ | 2 | 4 |
| सारांश≠ | Quadratic Programming (QP) is a class of constrained mathematical optimization in which the objective function is quadratic and the constraints are linear. Formalized by Frank and Wolfe (1956) through their gradient-based feasible-direction algorithm, QP is foundational in operations research, finance, machine learning, and engineering design wherever one must minimize a convex (or non-convex) quadratic cost subject to linear feasibility conditions. | 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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