Modeling Languages in Mathematical Optimization (Applied Optimization Vol.88) （2004. 440 p.）

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Modeling Languages in Mathematical Optimization (Applied Optimization Vol.88) （2004. 440 p.）

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  • 製本 Hardcover:ハードカバー版／ページ数 440 p.
  • 言語 ENG
  • 商品コード 9781402075476

Full Description

This book deals with the aspects of modeling and solving real-world optimiza- tion problems in a unique combination. It treats systematically the major mod- eling languages and modeling systems used to solve mathematical optimization problems. The book is an offspring ofthe 71 st Meeting of the GOR (Gesellschaft fill Operations Research) Working Group Mathematical Optimization in Real Life which was held under the title Modeling Languages in Mathematical Op- timization during April 23-25, 2003 in the German Physics Society Confer- ence Building in Bad Honnef, Germany. The modeling language providers AIMMS Johannes Bisschop, Paragon Decision Technology B. V, Haarlem, The Netherlands, AMPL Bob Fourer, Northwestern Univ.; David M. Gay, AMPL Optimization LLC. , NJ, GAMS Alexander Meeraus, GAMS Development Corporation, Washington D. C. , Mosel Bob Daniel, Dash Optimization, Blisworth, UK, MPL Bjami Krist jansson, Maximal Software, Arlington, VA, NOP-2 Hermann Schichl, Vienna University, Austria, PCOMP Klaus Schittkowski, Bayreuth University, Germany, and OPL Sofiane Oussedik, ILOG Inc.
, Paris, France gave deep insight into their motivations and conceptual design features of their software, highlighted their advantages but also critically discussed their limits. The participants benefited greatly from this symposium which gave a useful overview and orientation on today's modeling languages in optimization. Roughly speaking, a modeling language serves the need to pass data and a mathematical model description to a solver in the same way that people, es- Of course, in pecially mathematicians describe those problems to each other.

Contents

I Theoretical and Practical Concepts of Modeling Languages.- 1 Mathematical Optimization and the Role of Modeling Languages.- 2 Models and the History of Modeling.- 3 Mathematical Model Building.- 4 Theoretical Concepts and Design of Modeling Languages.- 5 The Importance of Modeling Languages for Solving Real-World Problems.- II The Modeling Languages in Detail.- 6 The Modeling Language AIMMS.- 7 Design Principles and New Developments in the AMPL Modeling Language.- 8 General Algebraic Modeling System (GAMS).- 9 The LINGO Algebraic Modeling Language.- 10 The LPL Modeling Language.- 11 The MINOPT Modeling Language.- 12 Mosel: A Modular Environment for Modeling and Solving Optimization Problems.- 13 The MPL Modeling System.- 14 The Optimization Systems MPSX and OSL.- 15 The NOP-2 Modeling Language.- 16 The OMNI Modeling System.- 17 The OPL Studio Modeling System.- 18 PCOMP: A Modeling Language for Nonlinear Programs with Automatic Differentiation.- 19 The Tomlab Optimization Environment.- III The Future of Modeling Systems.- 20 The Future of Modeling Languages and Modeling Systems.- References.