integer programming problem is a mathematical optimization or feasibility program in which some or all of the variables are restricted to be integers...
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be integers, then the problem is called an integer programming (IP) or integer linear programming (ILP) problem. In contrast to linear programming, which...
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programming relaxation has a value differing from that of the unrelaxed 0–1 integer program. The linear programming relaxation of an integer program may...
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linear constraints on the variables. Quadratic programming is a type of nonlinear programming. "Programming" in this context refers to a formal procedure...
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GNU Linear Programming Kit (GLPK) is a software package intended for solving large-scale linear programming (LP), mixed integer programming (MIP), and...
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Optimiser) a software package for linear programming, integer programming, nonlinear programming, stochastic programming, and global optimisation. The "What's...
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AMPL (redirect from AMPL (programming language))
among them: Linear programming Quadratic programming Nonlinear programming Mixed-integer programming Mixed-integer quadratic programming with or without...
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cuts. Such procedures are commonly used to find integer solutions to mixed integer linear programming (MILP) problems, as well as to solve general, not...
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for writing integer literals in many programming languages: Many programming languages, especially those influenced by C, prefix an integer literal with...
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In computer programming, an integer overflow occurs when an arithmetic operation on integers attempts to create a numeric value that is outside of the...
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Since 0–1 integer programming is NP-hard in general, QCQP is also NP-hard. There are two main relaxations of QCQP: using semidefinite programming (SDP),...
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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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problems on graphs, matroids and other discrete structures integer programming constraint programming These branches are all closely intertwined however, since...
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An integer is the number zero (0), a positive natural number (1, 2, 3, . . .), or the negation of a positive natural number (−1, −2, −3, . . .). The negations...
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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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that deals with problems that are not linear. Let n, m, and p be positive integers. Let X be a subset of Rn (usually a box-constrained one), let f, gi, and...
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This approach is used for a number of NP-hard problems: Integer programming Nonlinear programming Travelling salesman problem (TSP) Quadratic assignment...
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Data type (redirect from Type (computer programming))
the programmer intends to use the data. Most programming languages support basic data types of integer numbers (of varying sizes), floating-point numbers...
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Graver basis (category Linear programming)
bases enable iterative solutions of linear and various nonlinear integer programming problems in polynomial time. They were introduced by Jack E. Graver...
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closely connected to the theory of linear programming and integer programming. Both linear programs and integer programs are expressed in canonical form as seeking...
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combinatorial optimization for solving integer linear programming (ILP) and mixed integer linear programming (MILP) problems with many variables. The...
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multiparametric programming problem If integer variables are present, then the problem is referred to as (multi)parametric mixed-integer programming problem If...
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article by Dumitru on Dynamic Programming Algebraic Dynamic Programming – a formalized framework for dynamic programming, including an entry-level course...
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6(8):11472 (2011). Glover, Fred (January 1986). "Future paths for integer programming and links to artificial intelligence" (PDF). Computers and Operations...
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Cramer's rule (section Integer programming)
prove that an integer programming problem whose constraint matrix is totally unimodular and whose right-hand side is integer, has integer basic solutions...
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x is restricted to have integer coordinates only. Other applications of the Hermite normal form include integer programming, cryptography, and abstract...
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for solving integer linear programs (ILPs), that is, linear programming (LP) problems where some or all the unknowns are restricted to integer values. Branch...
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diverse range of SQP methods. Sequential linear programming Sequential linear-quadratic programming Augmented Lagrangian method SQP methods have been...
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call-by-value and currying. While a general-purpose programming language, ML is used heavily in programming language research and is one of the few languages...
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integers Chance constrained programming for dealing with constraints that must be satisfied with a given probability Stochastic dynamic programming Markov...
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