Optimization in Chemical Engineering

Week 1: Introduction to Optimization(Statement of optimization problems, Classification of optimization problems,

Examples from engineering applications, Review of linear algebra)
Week 2: Optimization Problem Formulation (Models for optimization, Optimization problems in chemical/biochemical
engineering)
Week 3: Basic Concepts of Optimization – I (Continuity of functions, Unimodal and multimodal functions, Optimality
criteria for unconstrained single variable functions)
Week 4: Basic Concepts of Optimization – II (Optimality criteria for unconstrained multivariable functions, Equality
constrained problems, Lagrange multipliers, Kuhn Tucker conditions)
Week 5: Unconstrained Single Variable Optimization: Methods and Applications (Region elimination methods, Methods
requiring derivatives: Newton-Raphson method, Bisection method, Secant method)
Week 6: Unconstrained Multivariable Optimization: Direct Search Methods (Simplex method, Hooke-Jeeves pattern search
method, Powell’s conjugate direction method)
Week 7: Unconstrained Multivariable Optimization: Gradient Based Methods (Cauchy’s method, Newton’s method, Marquardt method)Week 8: Introduction to Linear Programming (Formulation of linear programming models, Graphical solution, Linear programs in standard form)
Week 9: Linear Programming: The Simplex Method (Simplex method, Use of artificial variables, Two phase method)
Week 10: Constrained Nonlinear Programming (Penalty function method, Lagrange multiplier method)
Week 11: Applications of Optimization (Optimization of various chemical and biochemical processes)(MATLAB)
Week 12: Software Tools for Optimization(MS Excel Solver)