Modeling of allocation and control problems in industry and social systems.
Framework and overview of optimization with examples of continuous and discrete optimization,unconstrained and constrained problems.
Single stage and multistage models.
Formulations and equivalences. Examples from science,engineering and business.
Linear programming. Geometry and algebra of the simplex method.
Duality & sensitivity.Combinatorial optimization problems with emphasis on applications, notion of large feasible spaces and neighborhood solutions, representation of solution space, search tree, search techniques, branch and bound method.
Examples of mixed-integer programming models. Use of binary variables in constraint modeling.