Modeling Languages in Mathematical Optimization [Paperback]

I Theoretical and Practical Concepts of Modeling Languages.- 1 Mathematical Optimization and the Role of Modeling Languages.- 1.1 Mathematical Optimization.- 1.2 Classes of Problems in Mathematical Optimization.- 1.2.1 A Deterministic Standard MINLP Problem.- 1.2.2 Constraint Satisfaction Problems.- 1.2.3 Multi-Objective Optimization.- 1.2.4 Multi-Level Optimization.- 1.2.5 Semi-Infinite Programming.- 1.2.6 Optimization Involving Differential Equations.- 1.2.7 Safety Programming.- 1.2.8 Optimization Under Uncertainty.- 1.2.8.1 Approaches to Optimization Under Uncertainty.- 1.2.8.2 Stochastic Optimization.- 1.2.8.3 Beyond Stochastic Programming.- 1.3 The History of Modeling Languages in Optimization.- 1.4 Conventions and Abbreviations.- 2 Models and the History of Modeling.- 2.1 The History of Modeling.- 2.2 Models.- 2.3 Mathematical Models.- 2.4 The Modeling Process.- 2.4.1 The Importance of Good Modeling Practice.- 2.4.2 Making Mathematical Models Accessible for Computers.- 3 Mathematical Model Building.- 3.1 Why Mathematical Modeling?.- 3.2 A List of Applications.- 3.3 Basic numerical tasks.- 3.4 The Modeling Diagram.- 3.5 General Rules.- 3.6 Conflicts.- 3.7 Attitudes.- 4 Theoretical Concepts and Design of Modeling Languages.- 4.1 Modeling Languages.- 4.1.1 Algebraic Modeling Languages.- 4.1.2 Non-algebraic Modeling Languages.- 4.1.3 Integrated Modeling Environments.- 4.1.4 Model-Programming Languages.- 4.1.5 Other Modeling Tools.- 4.2 Global Optimization.- 4.2.1 Problem Description.- 4.2.2 Algebraic Modeling Languages and Global Optimization.- 4.3 A Vision  What the Future Needs to Bring.- 4.3.1 Data Handling.- 4.3.2 Solver Views.- 4.3.3 GUI.- 4.3.4 Object Oriented Modeling  Derived Models.- 4.3.5 Hierarchical Modeling.- 4.3.6 Building Blocks.- 4.3.7 Open Model Exchange Format.- 5 The Importance of Modeling Languages for Solving Real-World Problems.- 5.1 Modeling Languages and Real World Problems.- 5.2 Requirements from Practitioners towards Modeling Languages lc7