Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Paulavičius, Remigijus
Titre(s) : Simplicial global optimization [Texte électronique] / Remigijus Paulavičius, Julius Žilinskas
Publication : New York : Springer, cop. 2014
Description matérielle : 1 ressource dématérialisée
Collection : Springer Briefs in optimization
Note(s) : Includes bibliographical references (pages 131-137)
Simplicial Global Optimization is centered on deterministic covering methods partitioning
feasible region by simplices. This book looks into the advantages of simplicial partitioning
in global optimization through applications where the search space may be significantly
reduced while taking into account symmetries of the objective function by setting
linear inequality constraints that are managed by initial partitioning. The authors
provide an extensive experimental investigation and illustrates the impact of various
bounds, types of subdivision, strategies of candidate selection on the performance
of algorithms. A comparison of various Lipschitz bounds over simplices and an extension
of Lipschitz global optimization with-out the Lipschitz constant to the case of simplicial
partitioning is also depicted in this text. Applications benefiting from simplicial
partitioning are examined in detail such as nonlinear least squares regression and
pile placement optimization in grillage-type foundations. Researchers and engineers
will benefit from simplicial partitioning algorithms such as Lipschitz branch and
bound, Lipschitz optimization without the Lipschitz constant, heuristic partitioning
presented. This book will leave readers inspired to develop simplicial versions of
other algorithms for global optimization and even use other non-rectangular partitions
for special applications.
Autre(s) auteur(s) : Žilinskas, Julius (1973-....). Fonction indéterminée
Sujet(s) : Optimisation mathématique
Indice(s) Dewey :
519.6 (23e éd.) = Optimisation mathématique
Identifiants, prix et caractéristiques : ISBN 9781461490937
Identifiant de la notice : ark:/12148/cb446664345
Notice n° :
FRBNF44666434
(notice reprise d'un réservoir extérieur)
Table des matières : 1. Simplicial partitions in global optimization ; 2. Lipschitz optimization with different
bounds over simplices ; 3. Simplicial Lipschitz optimization without Lipschitz constant
; 4. Applications of global optimization benefiting from simplicial partitions ;
Appendix A. Description of test problems.