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  • © 2001

Semi-Infinite Programming

Recent Advances

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

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xvii
  2. History

    1. Front Matter

      Pages 1-1
  3. Theory

    1. Front Matter

      Pages 43-43
    2. About Disjunctive Optimization

      • Ivan I. Eremin
      Pages 45-58
    3. On Regularity and Optimality in Nonlinear Semi-Infinite Programming

      • Abdelhak Hassouni, Werner Oettli
      Pages 59-74
    4. Stability of the Feasible Set Mapping in Convex Semi-Infinite Programming

      • Marco A. López, Virginia N. Vera de Serio
      Pages 101-120
    5. On Duality Theory of Conic Linear Problems

      • Alexander Shapiro
      Pages 135-165
  4. Modeling and Applications

    1. Front Matter

      Pages 235-235
    2. Separation by Hyperplanes: A Linear Semi-Infinite Programming Approach

      • Miguel A. Goberna, Marco A. López, Soon-Yi Wu
      Pages 255-269

About this book

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.

Editors and Affiliations

  • Universidad de Alicante, Spain

    Miguel Á. Goberna, Marco A. López

Bibliographic Information

Buy it now

Buying options

eBook USD 189.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access