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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Margot, to appear in Mathematical Programming. The complexity of recognizing linear systems with certain integrality properties G. Inequalities from two rows of a simplex tableau. Tight formulations for some simple mixed integer programs and convex objective integer programs A.

From Theory to Solutions. Hilbert Basis, Caratheodory’s theorem and combinatorial optimization A. Minimal inequalities for integer constraints V.

Mixed-integer cuts from cyclic groups M. Minimal infeasible subsystems and Benders cuts M. Zang, preprint, to appear in Mathematical Programming. 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.


Added to Your Shopping Cart. Complexity and Problem Reductions. Valid inequalities based on the interpolation procedure S. On the separation of disjunctive cuts M. How tight is the corner relaxation?

Integer Programming

An Integer analogue of Caratheodory’s theorem W. You are currently using the site but have requested a page in the site. Integer Programming Laurence A. Description A practical, accessible guide to optimization problems with discrete or integer variables Integer Programming stands out from other textbooks by pogramming 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.

Wolsey presents a number of state-of-the-art topics not covered in any other pdogramming. Please find below links to papers containing background material on the topics. Optimality, Relaxation, and Bounds. Weismantel, preprint, programmnig in Journal of Pure and Applied Mathematics, These include improved modeling, cutting plane theory and algorithms, heuristic methods, and branch-and-cut and integer programming decomposition algorithms. Computing with multi-row Gomory cuts D.

The mixing set with flows M.

Bellairs IP Workshop — Reading Material

Integer Programming Applied Integer Programming: Saturni, Mathematical Programming Table of contents Features Formulations. Lifting integer variables in minimal inequalities corresponding to lattice-free triangles S. Incorporating recent developments that have made it possible to solve difficult optimization problems with greater accuracy, author Laurence A.


Can pure cutting plane algorithms work? New inequalities for finite and infinite group problems from approximate lifting L. Some relations between facets of low- and high-dimensional group problems S. Request permission to reuse content from this site. On the facets of mixed integer programs with two integer variables and two constraints G.

The first three days of the Bellairs IP Workshop will be focused on specific research areas. Permissions L.a.wolaey permission to reuse content from this site. On l.a.aolsey generalization of the master cyclic group polyhedron S. A counterexample to an integer analogue of Caratheodory’s theorem W. Gunluk, Mathematical Programming, to appear. Would you like to change to the site? On the strength of Gomory mixed-integer cuts as group cuts S.

Gunluk, Mathematical Programming Lodi, slides of talk given at Aussios