CH5170 : Process Optimization

Linear Algebra Introduction to vector spaces and matrix algebra with geometric interpretation. Formulation of Optimization Problems in Chemical Engineering Continuos, integer and mixed optimization problems, Unconstrained and constrained optimization. Univariate Optimization methods bracketing techniques, Golden section and cubic interpolation. Multivariate Unconstrained Optimization Derivation of necessary and sufficiency condition for local optimum, NelderHead's method, Powell's method, Steepest descent, Conjugate gradient, Newton and quasiNewton methods. Multivariate Constrained Optimization Penalty function methods, KarushKuhnTucker conditions for local optimality, Linear programming, Wolfe's reduced gradient methods, Generalized reduced gradient, Quadratic programming and successive quadratic programming. Integer programming : branch and bound method. Method of successive cuts, Mixed integer linear and nonlinear programming. Random Search Methods Simulated annealing and genetic algorithms.