Semi-Infinite Programming

Recent Advances

  • Miguel Á. Goberna
  • Marco A. López

Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 57)

Table of contents

  1. Front Matter
    Pages i-xvii
  2. History

  3. Theory

    1. Front Matter
      Pages 43-43
    2. Ivan I. Eremin
      Pages 45-58
    3. Abdelhak Hassouni, Werner Oettli
      Pages 59-74
    4. Marco A. López, Virginia N. Vera de Serio
      Pages 101-120
    5. Alexander Shapiro
      Pages 135-165
  4. Numerical Methods

  5. Modeling and Applications

About this book

Introduction

Semi-infinite programming (SIP) deals with optimization problems in which either the number of decision variables or the number of constraints is finite. This book presents the state of the art in SIP in a suggestive way, bringing the powerful SIP tools close to the potential users in different scientific and technological fields.
The volume is divided into four parts. Part I reviews the first decade of SIP (1962-1972). Part II analyses convex and generalised SIP, conic linear programming, and disjunctive programming. New numerical methods for linear, convex, and continuously differentiable SIP problems are proposed in Part III. Finally, Part IV provides an overview of the applications of SIP to probability, statistics, experimental design, robotics, optimization under uncertainty, production games, and separation problems.
Audience: This book is an indispensable reference and source for advanced students and researchers in applied mathematics and engineering.

Keywords

algorithm algorithms linear optimization modeling numerical methods optimization programming robotics statistics

Editors and affiliations

  • Miguel Á. Goberna
    • 1
  • Marco A. López
    • 1
  1. 1.Universidad de AlicanteSpain

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-3403-4
  • Copyright Information Springer-Verlag US 2001
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-5204-2
  • Online ISBN 978-1-4757-3403-4
  • Series Print ISSN 1571-568X
  • About this book