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- этимология
Что (кто) такое symmetric linear programming - определение
Successive Linear Programming; Sequential linear programming
Nonlinear programming
SOLUTION PROCESS FOR SOME OPTIMIZATION PROBLEMS
Non-linear programming; Non-Linear programming; Nonlinear optimization; Non-Linear Optimization; Non linear optimization; Applications of nonlinear programming; Methods for solving nonlinear programming problems; Nonlinear Programming
In mathematics, nonlinear programming (NLP) is the process of solving an optimization problem where some of the constraints or the objective function are nonlinear. An optimization problem is one of calculation of the extrema (maxima, minima or stationary points) of an objective function over a set of unknown real variables and conditional to the satisfaction of a system of equalities and inequalities, collectively termed constraints.
linear programming
![planes]] (not shown). The linear programming problem is to find a point on the polyhedron that is on the plane with the highest possible value.](https://commons.wikimedia.org/wiki/Special:FilePath/3dpoly.svg?width=200 "planes]] (not shown). The linear programming problem is to find a point on the polyhedron that is on the plane with the highest possible value.")
![[[John von Neumann]]](https://commons.wikimedia.org/wiki/Special:FilePath/JohnvonNeumann-LosAlamos.gif?width=200 "[[John von Neumann]]")
![[[Leonid Kantorovich]]](https://commons.wikimedia.org/wiki/Special:FilePath/Leonid Kantorovich 1975.jpg?width=200 "[[Leonid Kantorovich]]")
![convex]] [[feasible region]] of possible values for those variables. In the two-variable case this region is in the shape of a convex [[simple polygon]].](https://commons.wikimedia.org/wiki/Special:FilePath/Linear Programming Feasible Region.svg?width=200 "convex]] [[feasible region]] of possible values for those variables. In the two-variable case this region is in the shape of a convex [[simple polygon]].")
PROGRAMMING METHOD TO ACHIEVE THE BEST OUTCOME IN A MATHEMATICAL MODEL
Linear program; Linear programme; 0-1 integer programming; Linear Programming; Linear optimization; Mixed integer programming; Lp solve; LP problem; 0–1 integer program; 0-1 linear programming; 0-1 integer program; Linear programmer; Linear programmers; Linear programs; Binary integer programming; Integer programs; Integer linear programs; 0-1 integer programs; Binary integer program; Binary integer programs; Mixed integer program; Mixed integer programs; Linear programming problem; Mixed integer linear programming; 1-0 linear programming; Integral linear program; Linear programming formulation; Linear optimisation; Linear programming Formulation; Integral polyhedron; Linear problem; LP duality; Complementary slackness; Algorithms for linear programming; Linear programming algorithms; Applications of linear programming; List of solvers for linear programming; List of linear programming solvers; History of linear programming; MILP
<application> A procedure for finding the maximum or minimum
of a linear function where the arguments are subject to
linear constraints. The simplex method is one well known
algorithm.
(1995-04-06)
Linear programming
PROGRAMMING METHOD TO ACHIEVE THE BEST OUTCOME IN A MATHEMATICAL MODEL
Linear program; Linear programme; 0-1 integer programming; Linear Programming; Linear optimization; Mixed integer programming; Lp solve; LP problem; 0–1 integer program; 0-1 linear programming; 0-1 integer program; Linear programmer; Linear programmers; Linear programs; Binary integer programming; Integer programs; Integer linear programs; 0-1 integer programs; Binary integer program; Binary integer programs; Mixed integer program; Mixed integer programs; Linear programming problem; Mixed integer linear programming; 1-0 linear programming; Integral linear program; Linear programming formulation; Linear optimisation; Linear programming Formulation; Integral polyhedron; Linear problem; LP duality; Complementary slackness; Algorithms for linear programming; Linear programming algorithms; Applications of linear programming; List of solvers for linear programming; List of linear programming solvers; History of linear programming; MILP
Linear programming (LP), also called linear optimization, is a method to achieve the best outcome (such as maximum profit or lowest cost) in a mathematical model whose requirements are represented by linear relationships. Linear programming is a special case of mathematical programming (also known as mathematical optimization).
Википедия
Successive linear programming
Successive Linear Programming (SLP), also known as Sequential Linear Programming, is an optimization technique for approximately solving nonlinear optimization problems.
Starting at some estimate of the optimal solution, the method is based on solving a sequence of first-order approximations (i.e. linearizations) of the model. The linearizations are linear programming problems, which can be solved efficiently. As the linearizations need not be bounded, trust regions or similar techniques are needed to ensure convergence in theory.
SLP has been used widely in the petrochemical industry since the 1970s.
