Technical Note—Computational Experience with Normed and Nonnormed Column-Generation Procedures in Nonlinear Programming

Column Generation in Integer Programming with Applications in Multicriteria Optimization

This paper presents in a unified form a column generation scheme for integer programming. The scheme incorporates the two major algorithmic approaches in integer programming, the branch and bound technique and the cutting plane technique. With integrality conditions imposed on the variables it is of importance to limit the number of columns introduced in the integer programming problem. This is...

Column Generation for Linear and Integer Programming

Column generation refers to linear programming (LP) algorithms designed to solve problems in which there are a huge number of variables compared to the number of constraints and the simplex algorithm step of determining whether the current basic solution is optimal or finding a variable to enter the basis is done by solving an optimization problem rather than by enumeration. To the best of my k...

Hydrogen Distribution in Refinery with Nonlinear Programming

Branch and Price: Integer Programming with Column Generation

Branch-and-price is a generalization of linear programming (LP) based branch-and-bound specifically designed to handle integer programming (IP) formulations that contain a huge number of variables. The basic idea of branch-and-price is simple. Columns are left out of the LP relaxation because there are too many columns to handle efficiently and most of them will have their associated variable e...

Constraint Programming Based Column Generation with Knapsack Subproblems