and objective are represented by linear relationships. Linear programming is a special case of mathematical programming (also known as mathematical optimization)...

integer linear programming (ILP), in which the objective function and the constraints (other than the integer constraints) are linear. Integer programming is...

"Linear genetic programming" is unrelated to "linear programming". Linear genetic programming (LGP) is a particular method of genetic programming wherein...

example, the linear programming relaxation has a value differing from that of the unrelaxed 0–1 integer program. The linear programming relaxation of...

linear-fractional programming (LFP) is a generalization of linear programming (LP). Whereas the objective function in a linear program is a linear function...

mathematics, nonlinear programming (NLP) is the process of solving an optimization problem where some of the constraints are not linear equalities or the objective...

The dual of a given linear program (LP) is another LP that is derived from the original (the primal) LP in the following schematic way: Each variable in...

The GNU Linear Programming Kit (GLPK) is a software package intended for solving large-scale linear programming (LP), mixed integer programming (MIP),...

Successive Linear Programming (SLP), also known as Sequential Linear Programming, is an optimization technique for approximately solving nonlinear optimization...

Multi-objective linear programming is a subarea of mathematical optimization. A multiple objective linear program (MOLP) is a linear program with more than...

function subject to linear constraints on the variables. Quadratic programming is a type of nonlinear programming. "Programming" in this context refers...

In linear programming, a discipline within applied mathematics, a basic solution is any solution of a linear programming problem satisfying certain specified...

theory and coding theory, linear programming decoding (LP decoding) is a decoding method which uses concepts from linear programming (LP) theory to solve decoding...

algorithm, an algorithm for solving linear programming problems, and for his other work with linear programming. In statistics, Dantzig solved two open...

Logic programming is a programming, database and knowledge representation paradigm based on formal logic. A logic program is a set of sentences in logical...

(such as linear television and linear channels). With the beginning of scheduled television in 1936, television programming was initially only concerned...

stochastic programming methods have been developed: Scenario-based methods including Sample Average Approximation Stochastic integer programming for problems...

simplex algorithm (or simplex method) is a popular algorithm for linear programming.[failed verification] The name of the algorithm is derived from the...

by solving a non-integer linear program, the linear relaxation of the given integer program. The theory of Linear Programming dictates that under mild...

scientist. He was most famous for his ellipsoid algorithm (1979) for linear programming, which was the first such algorithm known to have a polynomial running...

4  Linear programming problems are the simplest convex programs. In LP, the objective and constraint functions are all linear. Quadratic programming are...

use an integer linear programming (ILP) solver to solve the decision problem. Although theoretically solving an Integer Linear Program is exponential...

the mid-1980s. In 1984, Narendra Karmarkar developed a method for linear programming called Karmarkar's algorithm, which runs in probably polynomial time...

Sequential linear-quadratic programming (SLQP) is an iterative method for nonlinear optimization problems where objective function and constraints are...

logistics. This usage is the same as that in the phrases linear programming and mathematical programming, a synonym for mathematical optimization. The above...

ISBN 978-0-538-49790-9. Leonid N. Vaserstein (2006), "Linear Programming", in Leslie Hogben, ed., Handbook of Linear Algebra, Discrete Mathematics and Its Applications...

optimality. Linear programming optimization problems strictly fall under the category of deterministic global optimization. Much like linear programming problems...

primal and dual programs together is often easier than solving only one of them. Examples are linear programming and quadratic programming. A better and...

In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same variables. For example...

the linear programming relaxation of traditional graph coloring. Indeed, fractional coloring problems are much more amenable to a linear programming approach...