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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Mixed-integer cuts from cyclic groups M. Lifting integer variables in minimal inequalities corresponding to lattice-free triangles S.

Bellairs IP Workshop — Reading Material

Added to Your Shopping Cart. Table of contents Features Formulations. Complexity and Problem Reductions. Inequalities from two rows of a simplex tableau. Can pure cutting plane algorithms work? Please find below links to papers containing background material on the topics. The first three days of the Bellairs IP Workshop will be focused on specific research areas.

Some relations between facets of low- and high-dimensional group problems S. Optimality, Relaxation, and Bounds. 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.


Permissions Request permission to reuse content from this site. Minimal infeasible subsystems and Benders cuts M. On the facets of mixed integer programs with two integer variables and two constraints G. Integer Programming Applied Integer Programming: Would you like to change to the site? Gunluk, Mathematical Programming, to appear.

Wolsey presents a number of state-of-the-art topics not covered in any other textbook. The mixing set with flows M.

Zang, preprint, to appear in Mathematical Programming. Hilbert Basis, Caratheodory’s theorem and combinatorial optimization A. The complexity of recognizing linear systems with certain integrality properties G. Weismantel, preprint, appeared in Journal of Pure and Applied Mathematics, Margot, to appear in Mathematical Programming.

Integer Programming

Incorporating recent developments that have made it possible to solve difficult optimization problems with greater accuracy, author Laurence A. Minimal inequalities for integer constraints V.

On a generalization of the master cyclic group polyhedron S. Lodi, slides of talk given at Aussios Valid inequalities based on the interpolation procedure S. On the strength of Gomory mixed-integer cuts as group cuts S.


How tight is the corner relaxation? Request permission to reuse content from this site. A counterexample to an integer analogue of Caratheodory’s theorem W. New inequalities for finite and infinite group problems from approximate lifting L. You are currently using the site but have requested a page in the site.

From Theory to Solutions. Saturni, Mathematical Programming An Integer analogue of Caratheodory’s theorem W. These include improved modeling, cutting plane theory and algorithms, heuristic methods, and branch-and-cut and integer programming decomposition algorithms. Gunluk, Mathematical Programming Computing with multi-row Gomory cuts D. Integer Programming Laurence A. On the separation of disjunctive cuts M.

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.

Tight formulations for some simple mixed integer programs and convex objective integer programs A.