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...

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

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

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

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

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

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

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

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

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

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

formulated as a quadratically constrained quadratic program. Since 0–1 integer programming is NP-hard in general, QCQP is also NP-hard. However, even for a...

Dynamic programming is both a mathematical optimization method and an algorithmic paradigm. The method was developed by Richard Bellman in the 1950s and...

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

solutions, integer programming etc. Some versions of the map label placement problem can be formulated as multiple choices integer programming (MCIP) problems...

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

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...

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

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

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

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...

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...

transformed into a convex program. Integer programming studies linear programs in which some or all variables are constrained to take on integer values. This is...

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

integers Chance constrained programming for dealing with constraints that must be satisfied with a given probability Stochastic dynamic programming Markov...

check convex hull (integer) affine hull integer projection computing the lexicographic minimum using parametric integer programming coalescing parametric...

satisfaction problem Cutting stock problem Dominating set problem Integer programming Job shop scheduling Knapsack problem Metric k-center / vertex k-center...

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

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