Simplicial Global Optimization

Remigijus Paulavičius, Julius Žilinskas (Autoren)

Buch | Softcover

137 Seiten

2013
Springer-Verlag New York Inc.
978-1-4614-9092-0 (ISBN)

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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.

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.- References.-Description of Test Problems.

Erscheint lt. Verlag	9.10.2013
Reihe/Serie	SpringerBriefs in Optimization
Zusatzinfo	51 Illustrations, color; X, 137 p. 51 illus. in color.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Graphentheorie
	Wirtschaft ► Betriebswirtschaft / Management
Schlagworte	Branch and bound • heuristic partitioning • Lipschitz optimization • nonlinear least squares regression • potentially optimal simplex • Simplicial partitions
ISBN-10	1-4614-9092-8 / 1461490928
ISBN-13	978-1-4614-9092-0 / 9781461490920
Zustand	Neuware