Modeling Languages in Mathematical Optimization, 2004 Applied Optimization Series, Vol. 88

This volume presents a unique combination of modeling and solving real world optimization problems. It is the only book which treats systematically the major modeling languages and systems used to solve mathematical optimization problems, and it also provides a useful overview and orientation of today's modeling languages in mathematical optimization. It demonstrates the strengths and characteristic features of such languages and provides a bridge for researchers, practitioners and students into a new world: solving real optimization problems with the most advances modeling systems. Audience: This volume is suitable for mathematical programming researchers, scientists in various disciplines who use optimization methods to model and solve problems, operations research practitioners, supply chain management consultants and decision makers in the area of tool selection for optimization tasks as well as students and graduates in mathematics, science, operations research and business.

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.