Titlebook: Integer Programming and Combinatorial Optimization; 13th International C Andrea Lodi,Alessandro Panconesi,Giovanni Rinaldi Conference proce

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Computing with Multi-row Gomory Cutsputationally significant, class of general cutting planes are Gomory mixed integer cuts (GMI). However finding other classes of general cuts for MIP that work well in practice has been elusive. Recent advances on the understanding of valid inequalities derived from the infinite relaxation introduced

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Degree Bounded Matroids and Submodular Flowsa hypergraph on its ground set with lower and upper bounds .(.) ≤ .(.) for each hyperedge .. The task is to find a minimum cost basis which contains at least .(.) and at most .(.) elements from each hyperedge .. In the second problem we have a submodular flow problem, a lower bound .(.) and an upper

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Integer Programming and Combinatorial Optimization978-3-540-68891-4Series ISSN 0302-9743 Series E-ISSN 1611-3349

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A Polynomial Time Approximation Scheme for the Square Packing Problem a polynomial time approximation scheme for this problem, that for any value .> 0 finds and packs a subset .′ ⊆ . of profit at least (1 − .) ., where . is the profit of an optimum solution. This settles the approximability of the problem and improves on the previously best approximation ratio of 5/4 + . achieved by Harren’s algorithm.

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https://doi.org/10.1007/978-3-540-68891-4algorithm; algorithms; combinatorial optimization; combinatorics; complexity; computational geometry; opti