A counterexample to an integer analogue of Caratheodory’s theorem. W. Bruns, J . Gubeladze, S. Dash, , Mathematical Programming , ( ). K. Andersen, Q. Louveaux, R. Weismantel, L. A. Wolsey, IPCO We do not consider mixed integer programs, i.e. linear programs with Most of the theory of linear and integer programming can be extended to. References & Software Packages. References. • L. A. Wolsey. Integer Programming, John Wiley & Sons,. New York, (). • G. L. Nemhauser and L. A. Wolsey.

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Hilbert Basis, Caratheodory’s theorem and combinatorial optimization A.

Bellairs IP Workshop — Reading Material

From Theory to Solutions. Incorporating recent developments that have made it possible to solve difficult optimization problems with greater accuracy, author Laurence A.

Gunluk, Mathematical Programming Lodi, slides of talk given at Aussios Tight formulations for some simple mixed integer programs and convex objective integer programs A. You are currently using the site but have requested a page in the site.

Lifting integer variables in minimal inequalities corresponding to lattice-free triangles S. Minimal infeasible subsystems and Benders cuts M.

On the strength of Gomory mixed-integer cuts as group cuts S. Description A practical, accessible guide to optimization problems with discrete or integer variables Integer Programming stands out from other textbooks by explaining in clear and simple terms how to construct custom-made algorithms or use existing commercial software to obtain optimal or near-optimal solutions for a variety of real-world problems, such as airline timetables, production line schedules, or electricity production on a regional or national scale.


An Integer analogue of Caratheodory’s theorem W. Weismantel, preprint, appeared in Journal of Pure and Applied Mathematics, Gunluk, Mathematical Programming, to appear.

Integer Programming

Table of contents Features Formulations. The complexity of recognizing linear systems with certain integrality properties G. Saturni, Mathematical Programming A counterexample to an integer analogue of Caratheodory’s theorem W. The first three days of the Bellairs IP Workshop will be focused on specific research areas. How tight is the corner relaxation?

Integer Programming | Discrete Mathematics | Mathematics & Statistics | Subjects | Wiley

Integer Programming Applied Integer Programming: Mixed-integer cuts from cyclic groups M. On the separation of disjunctive cuts M. Optimality, Relaxation, and Bounds. Zang, preprint, to appear in Mathematical Programming. Some relations between facets of low- and high-dimensional group problems S. These include improved modeling, cutting plane theory and algorithms, heuristic methods, and branch-and-cut and integer programming decomposition algorithms.

Would you like to change to the site? Permissions Request permission to reuse content from this site. It is also a valuable reference for industrial users of integer programming and researchers who would like to keep up with advances in the field. On the facets of mixed integer programs with two integer variables and two constraints G. Inequalities from two rows of a simplex tableau.


Please find below links to papers containing background material on the topics. Integer Programming Laurence A. Valid inequalities based on the interpolation procedure S. Added to Your Shopping Cart. On a generalization of the master cyclic group polyhedron S. Request permission to reuse content from this site. Minimal inequalities for integer constraints V. The mixing set with flows M. Complexity and Problem Reductions.

Computing with multi-row Gomory cuts D. Wolsey presents a number of state-of-the-art topics not covered in any other textbook. New inequalities for finite and infinite group problems from approximate lifting L. Margot, to appear in Mathematical Programming. Can pure cutting plane algorithms work?