integer programming problem is a mathematical optimization or feasibility program in which some or all of the variables are restricted to be integers...

be integers, then the problem is called an integer programming (IP) or integer linear programming (ILP) problem. In contrast to linear programming, which...

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

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

among them: Linear programming Quadratic programming Nonlinear programming Mixed-integer programming Mixed-integer quadratic programming with or without...

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

Optimiser) a software package for linear programming, integer programming, nonlinear programming, stochastic programming, and global optimisation. The "What's...

cuts. Such procedures are commonly used to find integer solutions to mixed integer linear programming (MILP) problems, as well as to solve general, not...

In computer programming, an integer overflow occurs when an arithmetic operation on integers attempts to create a numeric value that is outside of the...

for writing integer literals in many programming languages: Many programming languages, especially those influenced by C, prefix an integer literal with...

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),...

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...

problems on graphs, matroids and other discrete structures integer programming constraint programming These branches are all closely intertwined however, since...

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...

Semidefinite programming (SDP) is a subfield of mathematical programming concerned with the optimization of a linear objective function (a user-specified...

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...

This approach is used for a number of NP-hard problems: Integer programming Nonlinear programming Travelling salesman problem (TSP) Quadratic assignment...

the programmer intends to use the data. Most programming languages support basic data types of integer numbers (of varying sizes), floating-point numbers...

bases enable iterative solutions of linear and various nonlinear integer programming problems in polynomial time. They were introduced by Jack E. Graver...

prove that an integer programming problem whose constraint matrix is totally unimodular and whose right-hand side is integer, has integer basic solutions...

closely connected to the theory of linear programming and integer programming. Both linear programs and integer programs are expressed in canonical form as seeking...

combinatorial optimization for solving integer linear programming (ILP) and mixed integer linear programming (MILP) problems with many variables. The...

multiparametric programming problem If integer variables are present, then the problem is referred to as (multi)parametric mixed-integer programming problem If...

article by Dumitru on Dynamic Programming Algebraic Dynamic Programming – a formalized framework for dynamic programming, including an entry-level course...

6(8):11472 (2011). Glover, Fred (January 1986). "Future paths for integer programming and links to artificial intelligence" (PDF). Computers and Operations...

x is restricted to have integer coordinates only. Other applications of the Hermite normal form include integer programming, cryptography, and abstract...

for solving integer linear programs (ILPs), that is, linear programming (LP) problems where some or all the unknowns are restricted to integer values. Branch...

diverse range of SQP methods. Sequential linear programming Sequential linear-quadratic programming Augmented Lagrangian method SQP methods have been...

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...

by IBM. The IBM ILOG CPLEX Optimizer solves integer programming problems, very large linear programming problems using either primal or dual variants...