and objective are represented by linear relationships. Linear programming is a special case of mathematical programming (also known as mathematical optimization)...
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mixed-integer programming problem. In integer linear programming, the canonical form is distinct from the standard form. An integer linear program in canonical...
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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...
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example, the linear programming relaxation has a value differing from that of the unrelaxed 0–1 integer program. The linear programming relaxation of...
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linear-fractional programming (LFP) is a generalization of linear programming (LP). Whereas the objective function in a linear program is a linear function...
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mathematics, nonlinear programming (NLP) is the process of solving an optimization problem where some of the constraints are not linear equalities or the objective...
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"Linear genetic programming" is unrelated to "linear programming". Linear genetic programming (LGP) is a particular method of genetic programming wherein...
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The GNU Linear Programming Kit (GLPK) is a software package intended for solving large-scale linear programming (LP), mixed integer programming (MIP),...
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Multi-objective linear programming is a subarea of mathematical optimization. A multiple objective linear program (MOLP) is a linear program with more than...
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function subject to linear constraints on the variables. Quadratic programming is a type of nonlinear programming. "Programming" in this context refers...
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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...
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Convex optimization (redirect from Convex programming)
4 Linear programming problems are the simplest convex programs. In LP, the objective and constraint functions are all linear. Quadratic programming are...
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stochastic programming methods have been developed: Scenario-based methods including Sample Average Approximation Stochastic integer programming for problems...
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Successive Linear Programming (SLP), also known as Sequential Linear Programming, is an optimization technique for approximately solving nonlinear optimization...
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George Dantzig (section Linear programming)
algorithm, an algorithm for solving linear programming problems, and for his other work with linear programming. In statistics, Dantzig solved two open...
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Logic programming is a programming, database and knowledge representation paradigm based on formal logic. A logic program is a set of sentences in logical...
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Feasible region (section Linear programming)
non-negative. In pure integer programming problems, the feasible set is the set of integers (or some subset thereof). In linear programming problems, the feasible...
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Semidefinite programming (SDP) is a subfield of mathematical programming concerned with the optimization of a linear objective function (a user-specified...
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in a diverse range of SQP methods. Sequential linear programming Sequential linear-quadratic programming Augmented Lagrangian method SQP methods have been...
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In linear programming, a discipline within applied mathematics, a basic solution is any solution of a linear programming problem satisfying certain specified...
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by solving a non-integer linear program, the linear relaxation of the given integer program. The theory of Linear Programming dictates that under mild...
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Sequential linear-quadratic programming (SLQP) is an iterative method for nonlinear optimization problems where objective function and constraints are...
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some market impact constraints, because they are not linear, cannot be solved by quadratic programming but can be formulated as SOCP problems. The standard...
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theory and coding theory, linear programming decoding (LP decoding) is a decoding method which uses concepts from linear programming (LP) theory to solve decoding...
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(such as linear television and linear channels). With the beginning of scheduled television in 1936, television programming was initially only concerned...
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linear programming, Wiley, New York SM Lee (1972) Goal programming for decision analysis, Auerback, Philadelphia JP Ignizio (1976) Goal programming and...
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Mathematical optimization (redirect from Mathematical programming)
mathematical programming problem (a term not directly related to computer programming, but still in use for example in linear programming – see History...
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Interior-point method (section Linear programs)
the mid-1980s. In 1984, Narendra Karmarkar developed a method for linear programming called Karmarkar's algorithm, which runs in provably polynomial time...
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diagonal elements in the data matrices), second-order cone programming (SOCP) and linear programming (LP) relaxations providing the same objective value as...
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optimization, the fundamental theorem of linear programming states, in a weak formulation, that the maxima and minima of a linear function over a convex polygonal...
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