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Additional info for Agile processes in software engineering and extreme programming : 11th International Conference, XP 2010, Trondheim, Norway, June 1-4, 2010. Proceedings

Example text

For such instances we were not able to prove exact optimality, but we yielded small gaps and improved the results reported in [10]. 2 US and German Instances In [4] Barahona introduced two real-life instances defined on complete graphs, that were kindly made available to us by the author: Bar41, a US instance with 30 P. Avella, S. Mattia, and A. Sassano 41 nodes and 646 demand pairs and Bar64, a German instance with 64 nodes and 2016 demand pairs. ¿From each of these two instances a subset of nodes was selected to form two backbone networks with, respectively, 13 and 9 nodes.

Gendron: Bundle-Based Relaxation Methods for Multicommodity Capacitated Fixed Charge Network Design Problems, Discrete Applied Mathematics, to appear (1998). 19. G. Crainic, M. Gendreau: Cooperative Parallel Tabu Search for Capacitated Network Design, Centre de recherche sur les transports, Report CRT-98-71 (1998), Université de Montrèal . 20. G. Crainic, M. Gendreau, J. Farvolden: Simplex-Based Tabu Search for the Multicommodity Capacitated Fixed Charge Network Design Problem, INFORMS Journal on Computing 12(3) (2000) 223-236.

Dash and O. Günlük Gomory and Johnson [12,13]. More recent references include [15], [3], and [14]. Also see [1] for an introduction. In this paper we study facets of and valid inequalities for Y that can be derived from the following simple polyhedral sets: and and their relaxations obtained by allowing the integral variables in these models to be for Our work is partly motivated by the work of Marchand and Wolsey[18], who derive the well-known Gomory mixed-integer cut (GMIC) using GMIC can also be derived from a facet of the master cyclic group polyhedron [11], and our interest in is partly due to the practical importance of the GMIC, which is now routinely used in MIP software.

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