enow.com Web Search

Search results

  1. Results from the WOW.Com Content Network
  2. Integer programming - Wikipedia

    en.wikipedia.org/wiki/Integer_programming

    An integer programming problem is a mathematical optimization or feasibility program in which some or all of the variables are restricted to be integers.In many settings the term refers to integer linear programming (ILP), in which the objective function and the constraints (other than the integer constraints) are linear.

  3. Cutting-plane method - Wikipedia

    en.wikipedia.org/wiki/Cutting-plane_method

    The use of cutting planes to solve MILP was introduced by Ralph E. Gomory. Cutting plane methods for MILP work by solving a non-integer linear program, the linear relaxation of the given integer program. The theory of Linear Programming dictates that under mild assumptions (if the linear program has an optimal solution, and if the feasible ...

  4. Linear programming relaxation - Wikipedia

    en.wikipedia.org/wiki/Linear_programming_relaxation

    The cutting-plane method for solving 0–1 integer programs, first introduced for the traveling salesman problem by Dantzig, Fulkerson, and Johnson in 1954 [5] and generalized to other integer programs by Gomory in 1958, [6] takes advantage of this multiplicity of possible relaxations by finding a sequence of relaxations that more tightly ...

  5. Integer factorization - Wikipedia

    en.wikipedia.org/wiki/Integer_factorization

    In mathematics, integer factorization is the decomposition of a positive integer into a product of integers. Every positive integer greater than 1 is either the product of two or more integer factors greater than 1, in which case it is a composite number, or it is not, in which case it is a prime number.

  6. Linear programming - Wikipedia

    en.wikipedia.org/wiki/Linear_programming

    If all of the unknown variables are required to be integers, then the problem is called an integer programming (IP) or integer linear programming (ILP) problem. In contrast to linear programming, which can be solved efficiently in the worst case, integer programming problems are in many practical situations (those with bounded variables) NP-hard.

  7. Diophantine equation - Wikipedia

    en.wikipedia.org/wiki/Diophantine_equation

    Finding all right triangles with integer side-lengths is equivalent to solving the Diophantine equation + =.. In mathematics, a Diophantine equation is an equation, typically a polynomial equation in two or more unknowns with integer coefficients, for which only integer solutions are of interest.

  8. Pell's equation - Wikipedia

    en.wikipedia.org/wiki/Pell's_equation

    Pell's equation, also called the Pell–Fermat equation, is any Diophantine equation of the form =, where n is a given positive nonsquare integer, and integer solutions are sought for x and y. In Cartesian coordinates , the equation is represented by a hyperbola ; solutions occur wherever the curve passes through a point whose x and y ...

  9. HiGHS optimization solver - Wikipedia

    en.wikipedia.org/wiki/HiGHS_optimization_solver

    HiGHS is open-source software to solve linear programming (LP), mixed-integer programming (MIP), and convex quadratic programming (QP) models. [1] Written in C++ and published under an MIT license, HiGHS provides programming interfaces to C, Python, Julia, Rust, JavaScript, Fortran, and C#. It has no external dependencies.