By Karen Aardal, Frederik von Heymann (auth.), Michel Goemans, José Correa (eds.)
This ebook constitutes the court cases of the sixteenth overseas convention on Integer Programming and Combinatorial Optimization, IPCO 2013, held in Valparaíso, Chile, in March 2013. The 33 complete papers awarded have been rigorously reviewed and chosen from ninety eight submissions. The convention is a discussion board for researchers and practitioners engaged on a number of points of integer programming and combinatorial optimization with the purpose to give fresh advancements in thought, computation, and functions. The scope of IPCO is seen in a extensive experience, to incorporate algorithmic and structural leads to integer programming and combinatorial optimization in addition to revealing computational experiences and novel functions of discrete optimization to functional problems.
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Extra resources for Integer Programming and Combinatorial Optimization: 16th International Conference, IPCO 2013, Valparaíso, Chile, March 18-20, 2013. Proceedings
An extension of the mixed integer rounding cuts of Nemhauser and Wolsey  to MICQO was given by Atamt¨ urk and Narayanan [2,3]. C ¸ ezik and Iyengar  studied the extension of the Chv´atal-Gomory procedure from MILO to MICQO. The Lift-and-Project algorithm of Balas et al.  developed for MILO was generalized by Stubbs and Mehrotra  to MICQO. M. Goemans and J. ): IPCO 2013, LNCS 7801, pp. 37–48, 2013. c Springer-Verlag Berlin Heidelberg 2013 38 K. N. Jensen Intersection cuts form a very important class of cutting planes for solving MILO problems .
Combinatorial Optimization: Polyhedra and Eﬃciency. dk Abstract. Balas introduced intersection cuts for mixed integer linear sets. Intersection cuts are given by closed form formulas and form an important class of cuts for solving mixed integer linear programs. In this paper we introduce an extension of intersection cuts to mixed integer conic quadratic sets. We identify the formula for the conic quadratic intersection cut by formulating a system of polynomial equations with additional variables that are satisﬁed by points on a certain piece of the boundary deﬁned by the intersection cut.
Theorem 3. 3 e e−1 -approximation. The All-or-Nothing Group Packing Problem For agap instances where each group Gi has a utility Pi > 0 if all of its items are packed, and 0 otherwise, we show that agap can be approximated within a small constant ρ ∈ (2, 3 + ε], for some ε > 0. Speciﬁcally, + ε)-approximation for all-or-nothing group Theorem 4. There is a ( 2(γ+1) γ m packing, where γ = kmax . 24 R. Adany et al. References 1. pdf 2. : Maximizing a submodular set function subject to a matroid constraint.
Integer Programming and Combinatorial Optimization: 16th International Conference, IPCO 2013, Valparaíso, Chile, March 18-20, 2013. Proceedings by Karen Aardal, Frederik von Heymann (auth.), Michel Goemans, José Correa (eds.)