By Paul Klint
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Le yet de cette thèse est de fournir des moyens de calcul et de visualisation d'objets mathématiques issus de l'analyse complexe. Dans ce cadre, de nombreux problèmes d'origine mathématique empêchent d'utiliser les nombres complexes aussi naturellement que les nombres réels : indéterminations dans les calculs, nombre élevé de dimensions empêchant les méthodes naïves de visualisation, phénomènes multiformes.
This ebook constitutes the completely refereed post-proceedings of the 4th foreign Workshop on Declarative Agent Languages and applied sciences, DALT 2006, held in Hakodate, Japan in could 2006 as an linked occasion of AAMAS 2006, the most overseas convention on independent brokers and multi-agent structures.
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5. The solutions are combined using deterministic formulas, yielding five different new solutions for every pair and every triple of reference set solutions combined. Each of these four implementations are limited to run for 240 seconds per instance, although they are only aborted after the Solution Combination Method has been completed, which on the larger test instances may cause a slight violation of the time limit to incur. A summary of results is reported in Section 5. Experiments using Scatter Search 5.
In these, intensiﬁcation is not used and the size of the reference set is ﬁxed to 20, a value that provides suﬃcient diversity in the set. Furthermore, as indicated in section 3, at initialization, if less than 20 local optima have been identiﬁed by tabu search, the reference set is ﬁlled with the best solutions encountered by tabu search that were not local optima, since preliminary testing showed that this had a positive impact on results. 1, we report the percentage gaps observed between the solutions obtained with scatter search for N = 3, 4, 5 and for combination rules (V), (C) and (H) with those produced by path relinking  for the 43 instances tested.
It is therefore relevant to pursue examining other heuristic approaches for the CMND. The purpose of this paper is to report on an extensive investigation of diﬀerent variants of a new metaheuristic for the CMND. This new heuristic is based on the Scatter Search concept originally introduced by Glover [8, 9]. The remainder of the paper is organized as follows. In section 2, we recall the arc-based formulation of the CMND, as well as some of its basic properties that will be exploited in our scatter search heuristic.
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