Mathematical Modeling
- Value of mathematical models, Steps of modeling, different types of variables, constraints and objective functions
- Classification of mathematical models, Multi-objective models, Models with interval coefficients, Bilevel models
- Introduction to pyomo package
- Propositions and binary variables
- Constraints and indicators, Either-or constraints, Not-equal constraint, If-then constrains
- Variables multiplication, McCormick relaxation
- Multi-parametric disaggregation technique, Separable programming
- Piecewise linear functions
- Maximin and Minimax functions, Absolute value function, Fractional programming, Constraint aggregation
- Qualitative comparison of models
- Ideal formulation, Totally unimodular models
- Improving formulations
- Constraint logic programming
- Debugging
- Real-world applications