Modeling Languages in Mathematical Optimization

herausgegeben von Josef Kallrath

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.