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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Zang, preprint, to appear in Mathematical Programming. Wolsey presents a number of state-of-the-art topics not covered in any other textbook.

Integer Programming

Can pure cutting plane algorithms work? From Theory to Solutions. On the facets of mixed integer programs with two integer variables and two constraints G.

Complexity and Problem Reductions. Integer Programming Applied Integer Programming: The complexity of recognizing linear systems with certain integrality properties G.


Gunluk, Mathematical Programming, to appear. The first three days of the Bellairs IP Workshop will be focused on specific research areas.

Bellairs IP Workshop — Reading Material

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. Table of contents Features Formulations. A counterexample to an integer analogue of Caratheodory’s theorem W. Inequalities from two rows of a simplex tableau. Optimality, Relaxation, and Bounds. Saturni, Mathematical Programming Hilbert Basis, Caratheodory’s theorem and combinatorial optimization A. How tight is the corner relaxation?

Valid inequalities based on the interpolation procedure S. On the separation of disjunctive cuts M. Weismantel, preprint, appeared in Journal of Pure and Applied Mathematics, Some relations between facets of low- and high-dimensional group problems S.

Please find below links to papers containing background material on the topics. The mixing set with flows M. Mixed-integer cuts from cyclic groups M. Lifting integer variables in minimal inequalities corresponding to lattice-free triangles S. Tight formulations for some simple mixed integer programs and convex objective integer programs A. On a generalization of the master cyclic group polyhedron S. You are currently using the site but have requested a page in the site. These include improved modeling, cutting plane theory and algorithms, heuristic methods, and branch-and-cut and integer programming decomposition algorithms.


New inequalities for finite and infinite group problems from approximate lifting L. Would you like to change to the site? Integee, slides of talk l.a.wolswy at Aussios Integer Programming Laurence A.

Permissions Request l.a.wolsye to reuse content from this site. An Integer analogue of Caratheodory’s theorem W. Incorporating recent developments that have made it possible to solve difficult optimization problems with greater accuracy, author Laurence A.