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Algebraic Modeling Systems

Modeling and Solving Real World Optimization Problems

  • Book
  • © 2012

Overview

Editors:
  1. Josef Kallrath

    1. Weisenheim, Germany

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  • Contrast between procedural and declarative languages is worked out in detail
  • Covers GAMS, Mosel, CPLEX Studio, and ZIMPL in great detail
  • Various aspects of modeling and solving real world problems are discussed
  • Includes supplementary material: sn.pub/extras

Part of the book series: Applied Optimization (APOP, volume 104)

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Table of contents (12 chapters)

  1. Front Matter

    Pages i-xxvi
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  2. Introduction and Foundations

    1. Front Matter

      Pages 1-1
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    2. Algebraic Modeling Languages: Introduction and Overview

      • Josef Kallrath
      Pages 3-10

    3. Towards a Self-Reflective, Context-Aware Semantic Representation of Mathematical Specifications

      • Peter Schodl, Arnold Neumaier, Kevin Kofler, Ferenc Domes, Hermann Schichl
      Pages 11-32

  3. Selected Algebraic Modeling Systems

    1. Front Matter

      Pages 33-33
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    2. GUSS: Solving Collections of Data Related Models Within GAMS

      • Michael R. Bussieck, Michael C. Ferris, Timo Lohmann
      Pages 35-56

    3. Generalized Disjunctive Programming: Solution Strategies

      • Juan P. Ruiz, Jan-H. Jagla, Ignacio E. Grossmann, Alex Meeraus, Aldo Vecchietti
      Pages 57-75

    4. Xpress–Mosel

      • Susanne Heipcke
      Pages 77-110

    5. Interval-Based Language for Modeling Scheduling Problems: An Extension to Constraint Programming

      • Philippe Laborie, Jérôme Rogerie, Paul Shaw, Petr Vilím, Ferenc Katai
      Pages 111-143

    6. Using Zimpl for Modeling Production Planning Problems

      • Ulrich Dorndorf, Stefan Droste, Thorsten Koch
      Pages 145-158

  4. Aspects of Modeling and Solving Real World Problems

    1. Front Matter

      Pages 159-159
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    2. Why Our Company Uses Programming Languages for Mathematical Modeling and Optimization

      • Hermann Gold
      Pages 161-169

    3. Data Preparation for Optimization with R

      • Hans-Joachim Pitz
      Pages 171-183

    4. VisPlain®: Insight by Visualization

      • Axel Hecker, Arnd vom Hofe
      Pages 185-198

    5. Economic Simulation Models in Agricultural Economics: The Current and Possible Future Role of Algebraic Modeling Languages

      • Wolfgang Britz, Josef Kallrath
      Pages 199-212

    6. A Practioner’s Wish List Towards Algebraic Modeling Systems

      • Josef Kallrath
      Pages 213-222

  5. Back Matter

    Pages 223-236
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Keywords

About this book

This book Algebraic Modeling Systems – Modeling and Solving Real World Optimization Problems – deals with the aspects of modeling and solving real-world optimization problems in a unique combination. It treats systematically the major algebraic modeling languages (AMLs) and modeling systems (AMLs) used to solve mathematical optimization problems. AMLs helped significantly to increase the usage of mathematical optimization in industry. Therefore it is logical consequence that the GOR (Gesellschaft für Operations Research) Working Group Mathematical Optimization in Real Life had a second meeting devoted to AMLs, which, after 7 years, followed the original 71st Meeting of the GOR (Gesellschaft für Operations Research) Working Group Mathematical Optimization in Real Life which was held under the title Modeling Languages in Mathematical Optimization during April 23–25, 2003 in the German Physics Society Conference Building in Bad Honnef, Germany. While the first meeting resulted in the book Modeling Languages in Mathematical Optimization, this book is an offspring of the 86th Meeting of the GOR working group which was again held in Bad Honnef under the title Modeling Languages in Mathematical Optimization.

Editors and Affiliations

  • Weisenheim, Germany

    Josef Kallrath

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