For students familiar with linear programming, we give here a brief account of the basic exact solution technique used for general problems of this kind: branch and bound. Other techniques supplement it, such a cutting planes, branch and cut, etc. This topic is a vast and highly complex field of study, about which an enormous literature exists. A good introduction is found in Wolsey (1998). One of the most comprehensive references is Nemhauser and Wolsey (1988)
Dual fractional cutting plane algorithms, in which cutting planes are used to iteratively tighten a ...
This survey presents cutting planes that are useful or potentially useful in solving mixed integer p...
This survey presents cutting planes that are useful or potentially useful in solving mixed integer p...
The paper presents a new method for solving the 0–1 linear programming problems (LPs). The general 0...
The paper presents a new method for solving the 0–1 linear programming problems (LPs). The general 0...
We analyse a class of mathematical programs that enable the generation of disjunctive cutting planes...
Abstract. In recent years the branch-and-cut method, a synthesis of the classical branch-and-bound a...
[[abstract]]Several algorithms have been developed to solve the two-level linear programming problem...
Mémoire de M2R.This work addresses the correction and improvement of Mavrotas and Diakoulaki's branc...
AbstractA hybrid algorithm to solve large scale zero–one integer programming problems has been devel...
A branch and bound algorithm is presented which is based on the extension of implicit enumeration te...
As shown by Manne and Vietorisz (1963) investment planning problems involving economies of scale and...
This is a report on how mixed integer programming works. It starts by showing the form of a mixed in...
We present a finitely convergent cutting plane algorithm for 0-1 mixed integer programming. The algo...
In this paper, a new branch-and-cut algorithm for mixed integer bi-level programming is proposed. Fo...
Dual fractional cutting plane algorithms, in which cutting planes are used to iteratively tighten a ...
This survey presents cutting planes that are useful or potentially useful in solving mixed integer p...
This survey presents cutting planes that are useful or potentially useful in solving mixed integer p...
The paper presents a new method for solving the 0–1 linear programming problems (LPs). The general 0...
The paper presents a new method for solving the 0–1 linear programming problems (LPs). The general 0...
We analyse a class of mathematical programs that enable the generation of disjunctive cutting planes...
Abstract. In recent years the branch-and-cut method, a synthesis of the classical branch-and-bound a...
[[abstract]]Several algorithms have been developed to solve the two-level linear programming problem...
Mémoire de M2R.This work addresses the correction and improvement of Mavrotas and Diakoulaki's branc...
AbstractA hybrid algorithm to solve large scale zero–one integer programming problems has been devel...
A branch and bound algorithm is presented which is based on the extension of implicit enumeration te...
As shown by Manne and Vietorisz (1963) investment planning problems involving economies of scale and...
This is a report on how mixed integer programming works. It starts by showing the form of a mixed in...
We present a finitely convergent cutting plane algorithm for 0-1 mixed integer programming. The algo...
In this paper, a new branch-and-cut algorithm for mixed integer bi-level programming is proposed. Fo...
Dual fractional cutting plane algorithms, in which cutting planes are used to iteratively tighten a ...
This survey presents cutting planes that are useful or potentially useful in solving mixed integer p...
This survey presents cutting planes that are useful or potentially useful in solving mixed integer p...