The course aims to provide the students with the skills to plan and model complex systems, and rational and optimal solution methods.

Modeling: Formulating the problem, constructing a mathematical model. Introduction to linear programming : Assumptions of linear programming, the linear programming model, Graphical solution method Simplex method : Essence of the simplex method, setting up the simplex method, the algebra of the simplex method, tie breaking in the simplex method, Dual simplex method, Duality theory and sensitivity analysis : the essence of duality theory, economic interpretation of duality, primal-dual relationships, the role of duality theory in sensitivity analysis, the essence of sensitivity analysis, applying sensitivity analysisInteger programming: Cutting plane algorithm.