قارن الطرق
راجع الطرق التي اخترتها جنبًا إلى جنب؛ الصفوف المختلفة مميَّزة.
| البرمجة الخطية× | البرمجة غير الخطية× | |
|---|---|---|
| المجال | التحسين | التحسين |
| العائلة | Process / pipeline | Process / pipeline |
| سنة النشأة≠ | 1947 | 2006 |
| صاحب الطريقة≠ | George B. Dantzig | Jorge Nocedal & Stephen Wright |
| النوع≠ | Mathematical programming / continuous optimization | Continuous mathematical optimization |
| المصدر التأسيسي≠ | Dantzig, G.B. (1963). Linear Programming and Extensions. Princeton University Press. ISBN: 9780691059136 | Nocedal, J., & Wright, S. J. (2006). Numerical Optimization (2nd ed.). Springer. ISBN: 978-0-387-30303-1 |
| الأسماء البديلة≠ | LP, linear optimization, Doğrusal Programlama (LP) | NLP optimization, Constrained nonlinear optimization, Smooth optimization, Doğrusal olmayan programlama |
| ذات صلة≠ | 4 | 3 |
| الملخص≠ | 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. | 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. |
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