• Thumbnail for Cutting-plane method
    In mathematical optimization, the cutting-plane method is any of a variety of optimization methods that iteratively refine a feasible set or objective...
    10 KB (1,546 words) - 09:57, 10 December 2023
  • Thumbnail for Linear programming relaxation
    cut method combines the cutting plane and branch and bound methods. In any subproblem, it runs the cutting plane method until no more cutting planes can...
    17 KB (2,414 words) - 18:59, 10 November 2023
  • approximation, the polyhedra contain the set. The cutting-plane method is an umbrella term for optimization methods which iteratively refine a feasible set or...
    18 KB (2,096 words) - 13:41, 30 January 2024
  • the branch and bound method. For example, the branch and cut method that combines both branch and bound and cutting plane methods. Branch and bound algorithms...
    30 KB (4,205 words) - 03:35, 29 July 2024
  • operations research, the Big M method is a method of solving linear programming problems using the simplex algorithm. The Big M method extends the simplex algorithm...
    5 KB (709 words) - 07:21, 3 June 2024
  • Thumbnail for Travelling salesman problem
    developed the cutting plane method for its solution. They wrote what is considered the seminal paper on the subject in which, with these new methods, they solved...
    86 KB (11,487 words) - 04:52, 13 July 2024
  • Pivoting rule of Bland, which avoids cycling Criss-cross algorithm Cutting-plane method Devex algorithm Fourier–Motzkin elimination Gradient descent Karmarkar's...
    42 KB (6,186 words) - 14:18, 5 July 2024
  • Thumbnail for Newton's method
    In numerical analysis, Newton's method, also known as the Newton–Raphson method, named after Isaac Newton and Joseph Raphson, is a root-finding algorithm...
    66 KB (8,363 words) - 20:08, 3 July 2024
  • functions. Cutting-plane methods Ellipsoid method Subgradient method Dual subgradients and the drift-plus-penalty method Subgradient methods can be implemented...
    30 KB (3,097 words) - 23:17, 1 July 2024
  • unconstrained case, often via the use of a penalty method. However, search steps taken by the unconstrained method may be unacceptable for the constrained problem...
    13 KB (1,844 words) - 07:20, 14 June 2024