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Algorithms and Model Formulations in Mathematical Programming

  • Conference proceedings
  • © 1989

Overview

Editors:
  1. Stein W. Wallace

    1. Chr. Michelsen Institute, Fantoft, Norway

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Part of the book series: NATO ASI Subseries F: (NATO ASI F, volume 51)

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Table of contents (33 papers)

  1. Front Matter

    Pages I-IX
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  2. Modeling and Strong Linear Programs for Mixed Integer Programmings

    1. Modeling and Strong Linear Programs for Mixed Integer Programming

      • Ellis L. Johnson
      Pages 1-43

  3. Advances in Nonlinear Network Models and Algorithms

    1. Advances in Nonlinear Network Models and Algorithms

      • John M. Mulvey
      Pages 45-72

  4. Mathematical Programming as an Intellectual Activity

    1. Mathematical Programming as an Intellectual Activity

      • A. H. G. Rinnooy Kan
      Pages 73-90

  5. The Aggregation Principle in Scenario Analysis and Stochastic Optimization

    1. The Aggregation Principle in Scenario Analysis and Stochastic Optimization

      • Roger J-B Wets
      Pages 91-113

  6. Methods for Large-Scale Linear Programming

    1. Methods for Large-Scale Linear Programming

      • Walter Murray
      Pages 115-137

  7. Extended Abstracts

    1. Front Matter

      Pages 139-139
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    2. Resource Constrained Assignment Problems

      • Ronny Aboudi, Kurt Jörnsten
      Pages 141-141

    3. The Resource Constrained Spanning Tree Problem: Alternative Modelling and Algorithmic Approaches

      • Jaime Barceló, Kurt Jörnsten, Sakis Migdalas
      Pages 142-143

    4. Constructive Dual Methods for Non-Linear Discrete Programing Problems

      • P. Bárcia, J. D. Coelho
      Pages 144-144

    5. A Decomposition Based Procedure for Production Scheduling in Job-Shops with Negligible Setup Times

      • Öner S. Benli
      Pages 145-146

    6. An Example of a Declarative Approach to Model Creation

      • Iain Buchanan, K. I. M. McKinnon
      Pages 147-148

    7. Optimal Solution of the Local Delivery Problem Through Minimum K-Trees

      • Marshall L. Fisher
      Pages 149-149

    8. AMPL: A Mathematical Programing Language

      • Robert Fourer, David M. Gay, Brian W. Kernighan
      Pages 150-151

    9. Multiperiod Linear Stochastic Programming and a Forestry Application

      • Gus Gassmann
      Pages 152-154

    10. A Multi-Period Network Design Problem: Model and Solution Techniques

      • Åsa Hallefjord
      Pages 155-156

    11. Finite-Dimensional Variational and Quasivariational Inequalities: Algorithmic Developments and Applications in Socio-Eoonomic Planning

      • Patrick T. Harker
      Pages 157-157

    12. Stochastic Equilibrium Programming for Dynamic Oligopolistic Markets

      • A. Haurie, Y. Smeers, G. Zaccour
      Pages 158-159

    13. A Dynamic Approach to Oligopolistic Market Equilibrium

      • Adi Ben-Israel, Sjur D. Flåm
      Pages 160-160

    14. Estimated Parameters in Mathematical Programming: Modelling and Statistical Issues

      • Alan J. King
      Pages 161-161
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Keywords

About this book

The NATO Advanced Research Workshop (ARW) "Algorithms and Model Formulations in Mathematical Programming" was held at Chr. Michelsen Institute in Bergen, Norway, from June 15 to June 19, 1987. The ARW was organized on behalf of the Committee on Algorithms (COAL) of the Mathematical Programming Society (MPS). Co-directors were Jan Telgen (Van Dien+Co Organisatie, Utrecht, The Netherlands) and Roger J-B Wets (The University of California at Davis, USA). 43 participants from 11 countries attended the ARW. The workshop was organized such that each day started with a - minute keynote presentation, followed by a 45-minute plenary discussion. The first part of this book contains the contributions of the five keynote speakers. The plenary discussions were taped, and the transcripts given to the keynote speakers. They have treated the transcripts differently, some by working the discussions into their papers, others by adding a section which sums up the discussions. The plenary discussions were very interesting and stimulating due to active participation of the audience. The five keynote speakers were asked to view the topic of the workshop, the interaction between algorithms and model formulations, from different perspectives. On the first day of the workshop Professor Alexander H.G. Rinnooy Kan (Erasmus University, Rotterdam, The Netherlands) put the theme into a larger context by his talk "Mathematical programming as an intellectual activity". This is an article of importance to any mathematical programmer who is interested in his field's history and present state.

Editors and Affiliations

  • Chr. Michelsen Institute, Fantoft, Norway

    Stein W. Wallace

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