SpringerBriefs in Optimization

Simplicial Global Optimization

Authors: Paulavičius, Remigijus, Žilinskas, Julius

  • ​​Extends class of algorithms for Lipschitz global optimization without the Lipschitz constant
  • Contains a deep investigation of particular cases of simplicial partitions
  • Provides applications where simplicial partitioning is beneficial​
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  • ISBN 978-1-4614-9093-7
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About this book

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.

Reviews

“This is an excellent book written by the well-known specialists in the field of global optimization. The book can be equally useful for beginners and experts in global optimization. An interested reader may even be inspired to develop simplicial versions of other global optimization algorithms. I am sure that this book is a very valuable addition to the literature on global optimization and will be very much appreciated by grateful readers.” (Anatoly Zhigljavsky, Journal of Global Optimization, Vol. 60, 2014)


Table of contents (4 chapters)

  • Simplicial Partitions in Global Optimization

    Paulavičius, Remigijus (et al.)

    Pages 1-19

  • Lipschitz Optimization with Different Bounds over Simplices

    Paulavičius, Remigijus (et al.)

    Pages 21-60

  • Simplicial Lipschitz Optimization Without Lipschitz Constant

    Paulavičius, Remigijus (et al.)

    Pages 61-86

  • Applications of Global Optimization Benefiting from Simplicial Partitions

    Paulavičius, Remigijus (et al.)

    Pages 87-106

Buy this book

eBook $39.99
price for USA (gross)
  • ISBN 978-1-4614-9093-7
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $54.99
price for USA
  • ISBN 978-1-4614-9092-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Simplicial Global Optimization
Authors
Series Title
SpringerBriefs in Optimization
Copyright
2014
Publisher
Springer-Verlag New York
Copyright Holder
Remigijus Paulavičius, Julius Žilinskas
eBook ISBN
978-1-4614-9093-7
DOI
10.1007/978-1-4614-9093-7
Softcover ISBN
978-1-4614-9092-0
Series ISSN
2190-8354
Edition Number
1
Number of Pages
X, 137
Number of Illustrations and Tables
51 illustrations in colour
Topics