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

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.

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Content:
Front Matter....Pages I-XI
Front Matter....Pages 1-1
Ascent Ray Theorems and Some Applications....Pages 2-9
Semi-Infinite Programming Duality: How Special is It?....Pages 10-36
A Saddle Value Characterization of Fan’s Equilibrium Points....Pages 37-49
Duality in Semi-Infinite Linear Programming....Pages 50-62
On the Role of Duality in the Theory of Moments....Pages 63-92
Existence Theorems in Semi-Infinite Programs....Pages 93-106
Front Matter....Pages 107-107
An Algorithm for a Continuous Version of the Assignment Problem....Pages 108-117
Numerical Estimation of Optima by use of Duality Inequalities....Pages 118-127
Globalization of Locally Convergent Algorithms for Nonlinear Optimization Problems with Constraints....Pages 128-137
A Three-Phase Algorithm for Semi-Infinite Programs....Pages 138-157
A Review of Numerical Methods for Semi-Infinite Optimization....Pages 158-178
An Algorithm for Minimizing Polyhedral Convex Functions....Pages 179-192
Numerical Experiments with Globally Convergent Methods for Semi-Infinite Programming Problems....Pages 193-205
Front Matter....Pages 207-207
On the Partial Construction of the Semi-Infinite Banzhaf Polyhedron....Pages 208-218
Semi-Infinite and Fuzzy Set Programming....Pages 219-235
Semi-Infinite Optimization in Engineering Design....Pages 236-248
A Moment Inequality and Monotonicity of an Algorithm....Pages 249-260
Front Matter....Pages 261-261
Second Order Conditions in Nonlinear Nonsmooth Problems of Semi-Infinite Programming....Pages 262-280
On Stochastic Control Problems with Impulse Cost Vanishing....Pages 281-294
Dual Variational Principles in Mechanics and Physics....Pages 295-309
Back Matter....Pages 310-324

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Content:
Front Matter....Pages I-XI
Front Matter....Pages 1-1
Ascent Ray Theorems and Some Applications....Pages 2-9
Semi-Infinite Programming Duality: How Special is It?....Pages 10-36
A Saddle Value Characterization of Fan’s Equilibrium Points....Pages 37-49
Duality in Semi-Infinite Linear Programming....Pages 50-62
On the Role of Duality in the Theory of Moments....Pages 63-92
Existence Theorems in Semi-Infinite Programs....Pages 93-106
Front Matter....Pages 107-107
An Algorithm for a Continuous Version of the Assignment Problem....Pages 108-117
Numerical Estimation of Optima by use of Duality Inequalities....Pages 118-127
Globalization of Locally Convergent Algorithms for Nonlinear Optimization Problems with Constraints....Pages 128-137
A Three-Phase Algorithm for Semi-Infinite Programs....Pages 138-157
A Review of Numerical Methods for Semi-Infinite Optimization....Pages 158-178
An Algorithm for Minimizing Polyhedral Convex Functions....Pages 179-192
Numerical Experiments with Globally Convergent Methods for Semi-Infinite Programming Problems....Pages 193-205
Front Matter....Pages 207-207
On the Partial Construction of the Semi-Infinite Banzhaf Polyhedron....Pages 208-218
Semi-Infinite and Fuzzy Set Programming....Pages 219-235
Semi-Infinite Optimization in Engineering Design....Pages 236-248
A Moment Inequality and Monotonicity of an Algorithm....Pages 249-260
Front Matter....Pages 261-261
Second Order Conditions in Nonlinear Nonsmooth Problems of Semi-Infinite Programming....Pages 262-280
On Stochastic Control Problems with Impulse Cost Vanishing....Pages 281-294
Dual Variational Principles in Mechanics and Physics....Pages 295-309
Back Matter....Pages 310-324
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