Titlebook: Dual-Feasible Functions for Integer Programming and Combinatorial Optimization; Basics, Extensions a Claudio Alves,Francois Clautiaux,Jurge

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2364-687X s that may be applied to a broad set of applications. Examples are provided to illustrate the underlying concepts and to pave the way for future contributions.978-3-319-80183-4978-3-319-27604-5Series ISSN 2364-687X Series E-ISSN 2364-6888

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Claudio Alves,Francois Clautiaux,Jurgen RietzExplains the concept of dual-feasible functions within the general framework of duality, Dantzig-Wolfe decomposition and column generation.Details relevant extensions and applications of dual-feasible

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Pengpeng Chen,Hailong Sun,Zhijun Chenclassical formulation of Gilmore and Gomory for this problem. Since many problems can be modeled using a similar formulation, it makes sense to explore the concept of dual-feasible function within a more general class of applications. A first approach is to considermulti-dimensional dual-feasible fu

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Leong Hou U,Marc Spaniol,Junying Chen particular to derive valid inequalities for integer programs. Since the notion of superadditivity is essential for this purpose, we start by reviewing superadditivity in the scope of valid inequalities. Different examples are provided with alternative families of dualfeasible functions. We discuss

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What Have We Learned from OpenReview?Integer Programming (IP) is a modelling tool that has been widely applied in the last decades to obtain solutions for complex real problems, as those that arise in cutting and packing, location, routing and many other areas.