Semi-Infinite Programming and Applications: An International Symposium Austin, Texas, September 8-10, 1981

by A.V. Fiacco (Editor), K.O. Kortanek (Editor)

Overview

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 problem formulation are abundant and significant. This volume presents 20 carefully selected papers that were presented 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.

Product Details

ISBN-13:	9783540123040
Publisher:	Springer Berlin Heidelberg
Publication date:	05/01/1983
Series:	Lecture Notes in Economics and Mathematical Systems , #215
Edition description:	Softcover reprint of the original 1st ed. 1983
Pages:	325
Product dimensions:	6.69(w) x 9.61(h) x 0.03(d)

Table of Contents

I Duality Theory.- Ascent Ray Theorems and Some Applications.- Semi-Infinite Programming Duality: How Special Is It?.- A Saddle Value Characterization of Fan’s Equilibrium Points.- Duality in Semi-Infinite Linear Programming.- On the Role of Duality in the Theory of Moments.- Existence Theorems in Semi-Infinite Programs.- II Algorithmic Developments.- An Algorithm for a Continuous Version of the Assignment Problem.- Numerical Estimation of Optima by Use of Duality Inequalities.- Globalization of Locally Convergent Algorithms for Nonlinear Optimization Problems with Constraints.- A Three-Phase Algorithm for Semi-Infinite Programs.- A Review of Numerical Methods for Semi-Infinite Optimization.- An Algorithm for Minimizing Polyhedral Convex Functions.- Numerical Experiments with Globally Convergent Methods for Semi-Infinite Programming Problems.- III Problem Analysis and Modeling.- On the Partial Construction of the Semi-Infinite Banzhaf Polyhedron.- Semi-Infinite and Fuzzy Set Programming.- Semi-Infinite Optimization in Engineering Design.- A Moment Inequality and Monotonicity of an Algorithm.- IV Optimality Conditions and Variational Principles.- Second Order Conditions in Nonlinear Nonsmooth Problems of Semi-Infinite Programming.- On Shastic Control Problems with Impulse Cost Vanishing.- Dual Variational Principles in Mechanics and Physics.- Authors, Participants, and Affiliations.- Referees.- Table of Contents of the Book of Abstracts.