صياغة البرمجة الرياضية

Mathematical Programming Formulation and applications of linear and integer programming: simplex method, sensitivity analysis and duality; parametric programming and post-optimality analysis; branch and bound technique; implicit enumeration; cutting plane algorithm. Theory and applications of non-linear optimization: convex sets, convex and concave functions, Kuhn-Tucker conditions; duality in nonlinear programming; computational methods for quadratic and convex programming; geometric programming; dynamic programming.