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Semi-Infinite Programming and Applications

An International Symposium Austin, Texas, September 8–10, 1981

  • Conference proceedings
  • © 1983

Overview

Editors:
  1. Anthony V. Fiacco

    1. Department of Operations Research School of Engineering and Applied Science, The George Washington University, Washington, DC, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Kenneth O. Kortanek

    1. Department of Mathematics, Carnegie-Mellon University, Pittsburgh, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 215)

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Table of contents (20 papers)

  1. Front Matter

    Pages I-XI
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  2. Duality Theory

    1. Front Matter

      Pages 1-1
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    2. Ascent Ray Theorems and Some Applications

      • Charles E. Blair
      Pages 2-9

    3. Semi-Infinite Programming Duality: How Special is It?

      • Jonathan M. Borwein
      Pages 10-36

    4. A Saddle Value Characterization of Fan’s Equilibrium Points

      • A. Charnes, K. O. Kortanek, V. Lovegren
      Pages 37-49

    5. Duality in Semi-Infinite Linear Programming

      • R. J. Duffin, R. G. Jeroslow, L. A. Karlovitz
      Pages 50-62

    6. On the Role of Duality in the Theory of Moments

      • J. H. B. Kemperman
      Pages 63-92

    7. Existence Theorems in Semi-Infinite Programs

      • Maretsugu Yamasaki
      Pages 93-106

  3. Algorithmic Developments

    1. Front Matter

      Pages 107-107
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    2. An Algorithm for a Continuous Version of the Assignment Problem

      • E. J. Anderson, A. B. Philpott
      Pages 108-117

    3. Numerical Estimation of Optima by use of Duality Inequalities

      • R. J. Duffin
      Pages 118-127

    4. Globalization of Locally Convergent Algorithms for Nonlinear Optimization Problems with Constraints

      • H. Gfrerer, J. Guddat, Hj. Wacker, W. Zulehner
      Pages 128-137

    5. A Three-Phase Algorithm for Semi-Infinite Programs

      • Sven-Åke Gustafson
      Pages 138-157

    6. A Review of Numerical Methods for Semi-Infinite Optimization

      • Rainer Hettich
      Pages 158-178

    7. An Algorithm for Minimizing Polyhedral Convex Functions

      • M. R. Osborne
      Pages 179-192

    8. Numerical Experiments with Globally Convergent Methods for Semi-Infinite Programming Problems

      • G. A. Watson
      Pages 193-205

  4. Problem Analysis and Modeling

    1. Front Matter

      Pages 207-207
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    2. On the Partial Construction of the Semi-Infinite Banzhaf Polyhedron

      • L. Papayanopoulos
      Pages 208-218

    3. Semi-Infinite and Fuzzy Set Programming

      • M. L. Parks Jr., A. L. Soyster
      Pages 219-235

    4. Semi-Infinite Optimization in Engineering Design

      • E. Polak
      Pages 236-248
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Keywords

About this book

Semi-infinite programming is a natural extension of linear pro­ gramming that allows finitely many variables to appear in infinitely many constraints. As the papers in this collection will reconfirm, the theoretical and practical manifestations and applications of this prob­ lem formulation are abundant and significant. This volume presents 20 carefully selected papers that were pre­ sented at the International Symposium on Semi-Infinite Programming and Applications, The University of Texas at Austin, September 8-10, 1981. A total of 70 papers were presented by distinguished participants from 15 countries. This was only the second international meeting on this topic, the first taking place in Bad Honnef,Federal Republic of Germany in 1978. A proceedings of that conference was organized and edited by Rainer Hettich of the University of Trier and published by Springer­ Verlag in 1979. The papers in this volume could have been published in any of several refereed journals. It is also probable that the authors of these papers would normally not have met at the same professional society meeting. Having these papers appear under one cover is thus something of a new phenomenon and provides an indication of both the unification and cross-fertilization opportunities that have emerged in this field. These papers were solicited only through the collective efforts of an International Program Committee organized according to the fol­ lowing research areas.

Editors and Affiliations

  • Department of Operations Research School of Engineering and Applied Science, The George Washington University, Washington, DC, USA

    Anthony V. Fiacco

  • Department of Mathematics, Carnegie-Mellon University, Pittsburgh, USA

    Kenneth O. Kortanek

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