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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Incorporating recent developments that have made it possible to solve difficult optimization problems with greater accuracy, author Laurence A. Mixed-integer cuts from cyclic groups M.

How tight is the corner relaxation? On the separation of disjunctive cuts M. Some relations between facets of low- and high-dimensional group problems S.

Margot, to appear in Mathematical Programming. On the facets of mixed integer programs with two integer probramming and two constraints G. Gunluk, Mathematical Programming Inequalities from two rows of a simplex tableau.


The mixing set with flows M.

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

Tight formulations for some simple mixed integer programs and convex objective integer programs A. Table of contents Features Formulations. Lodi, slides of talk given at Aussios The complexity of l.a.wllsey linear systems with certain integrality properties G. On a generalization of the master cyclic group polyhedron S. Complexity and Problem Reductions. Computing with multi-row Gomory cuts D. Optimality, Relaxation, and Bounds.

Saturni, Mathematical Programming These include improved modeling, cutting plane theory and algorithms, heuristic methods, and branch-and-cut and integer programming decomposition algorithms.

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. Integer Programming Applied Integer 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.


A counterexample to an integer analogue of Caratheodory’s theorem W.

Hilbert Basis, Caratheodory’s theorem and combinatorial optimization A. On the strength of Gomory mixed-integer cuts as group cuts S. Minimal infeasible subsystems and Benders cuts M. Weismantel, preprint, appeared in Journal of Pure and Applied Mathematics, Added to Your Shopping Cart. Can pure cutting plane algorithms work?

Lifting integer variables in minimal inequalities corresponding to lattice-free triangles S. Please find below links to integef containing background material on the topics. Request permission to reuse content from this programmimg.

Integer Programming

From Theory to Solutions. New inequalities for finite and infinite group problems from approximate lifting L. Zang, preprint, to appear in Mathematical Programming. An Integer analogue of Caratheodory’s theorem W.

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