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Titlebook: Combinatorial Optimization; Second International A. Ridha Mahjoub,Vangelis Markakis,Vangelis Th. Pa Conference proceedings 2012 Springer-Ve

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Orbital Shrinkingd to “encapsulate” model symmetry. This leads to a discrete relaxation of the original problem, whose solution yields a bound on its optimal value. Encouraging preliminary computational experiments on the tightness and solution speed of this relaxation are presented.
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Semidefinite Relaxations for Mixed 0-1 Second-Order Cone Programhat the semidefinite relaxation improves significantly the continuous relaxation (112% on average) and that it often provides a lower bound very close to the optimal value. In addition, the computational time for obtaining these results remains reasonable.
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Fast Separation Algorithms for Three-Index Assignment Problemsustrate the idea on the separation of known inequalities for the three index assignment polytope. It turns out that we find new separation algorithms with better complexities than the current ones (that were called best possible).
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Minimum Ratio Cover of Matrix Columns by Extreme Rays of Its Induced Coneeven in the case in which |.| = 1. We introduce a mixed integer programming formulation for the MGRC problem, which is solvable in polynomial time if all columns should be covered, and introduce a branch-and-cut algorithm for the MLRC problem. Finally, we present computational experiments on data obtained from real metabolic networks. .
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