The Dependency Diagram of a Linear Programme (LP) shows how the successive inequalities of an LP depend on former inequalities, when variables are projected out by Fourier- Motzkin Elimination. This is explained in a paper referenced below. The paper, given here, extends the results to the Mixed Integer case (MILP). It is shown how projection of a MILP leads to a finite disjunction of polytopes. This is expressed as a set of inequalities (mirroring those in the LP case) augmented by correction terms with finite domains which are subject to linear congruences
This tutorial presents a theory of valid inequalities for mixed integer linear sets. It introduces t...
This paper explores the spatial domain of sets of inequalities where each inequality contains at mos...
Pure- and mixed-integer programmes can often be solved more quickly if the constraints are reformula...
The Dependency Diagram of a Linear Programme (LP) shows how the successive inequalities of an LP dep...
The Dependency Diagram of a Linear Programme (LP) shows how the successive inequalities of an LP dep...
AbstractIt is shown how the dual of Fourier–Motzkin elimination can be applied to eliminating the co...
We give a general method of finding the optimal objective, and solution, values of a Mixed Integer L...
The need for eliminating redundancies in systems of linear inequalities arises in many applications....
AbstractThis paper describes how the Fourier-Motzkin Elimination Method, which can be used for solvi...
In this thesis, we propose a new method for removing all the redundant inequalities generated by Fou...
Mixed-integer programs (MIPs) involving logical implications modeled through big-M coefficients are ...
Integer Linear Programming (ILP) is among the most successful and general paradigms for solving comp...
Gauss and Fourier have together provided us with the essential techniques for symbolic computation w...
Gauss and Fourier have together provided us with the essential techniques for symbolic computation w...
My work focuses on cutting planes technology in Mixed Integer Programming. I explore novel classes o...
This tutorial presents a theory of valid inequalities for mixed integer linear sets. It introduces t...
This paper explores the spatial domain of sets of inequalities where each inequality contains at mos...
Pure- and mixed-integer programmes can often be solved more quickly if the constraints are reformula...
The Dependency Diagram of a Linear Programme (LP) shows how the successive inequalities of an LP dep...
The Dependency Diagram of a Linear Programme (LP) shows how the successive inequalities of an LP dep...
AbstractIt is shown how the dual of Fourier–Motzkin elimination can be applied to eliminating the co...
We give a general method of finding the optimal objective, and solution, values of a Mixed Integer L...
The need for eliminating redundancies in systems of linear inequalities arises in many applications....
AbstractThis paper describes how the Fourier-Motzkin Elimination Method, which can be used for solvi...
In this thesis, we propose a new method for removing all the redundant inequalities generated by Fou...
Mixed-integer programs (MIPs) involving logical implications modeled through big-M coefficients are ...
Integer Linear Programming (ILP) is among the most successful and general paradigms for solving comp...
Gauss and Fourier have together provided us with the essential techniques for symbolic computation w...
Gauss and Fourier have together provided us with the essential techniques for symbolic computation w...
My work focuses on cutting planes technology in Mixed Integer Programming. I explore novel classes o...
This tutorial presents a theory of valid inequalities for mixed integer linear sets. It introduces t...
This paper explores the spatial domain of sets of inequalities where each inequality contains at mos...
Pure- and mixed-integer programmes can often be solved more quickly if the constraints are reformula...