مقایسهٔ روش‌ها

	برنامه‌ریزی خطی	برنامه‌ریزی غیرخطی
حوزه	بهینه‌سازی	بهینه‌سازی
خانواده	Process / pipeline	Process / pipeline
سال پیدایش	1947	2006
پدیدآور	George B. Dantzig	Jorge Nocedal & Stephen Wright
نوع	Mathematical programming / continuous optimization	Continuous mathematical optimization
منبع بنیادین	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
نام‌های دیگر	LP, linear optimization, Doğrusal Programlama (LP)	NLP optimization, Constrained nonlinear optimization, Smooth optimization, Doğrusal olmayan programlama
مرتبط	4	3
خلاصه	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.