PCH111 PROCESS OPTIMIZATION |
||||
|
L |
T |
P |
Cr |
|
3 |
1 |
0 |
3.5 |
Course Objective:
To learn the modeling skills necessary
to describe and formulate optimization problems arising in process systems
engineering.
Introduction: Process optimization, Formulation of various
process optimization problems and their classification, Basic concepts of
optimization: Convex and concave functions, necessary and sufficient conditions
for stationary points.
Optimization of One Dimensional Functions: Unconstrained multivariable optimization: Direct
search methods, Bracketing methods: Exhaustive search method, bounding phase
method, Region elimination methods: Interval halving method, Fibonacci search
method, golden section search method, PointEstimation
method: Successive quadratic estimation, Solutions for one dimensional problems
using MATLAB.
Indirect First Order and Second Order Method: Gradient-based
methods: Newton-Raphson method,bisection method, secant method, cubic search
method, Root-finding using optimization techniques.
Multivariable Optimization Algorithms: Optimality criteria, Unidirectional
search, Direct search methods: Evolutionary optimization method, simplex search
method, Powell’s conjugate direction method, Gradient based methods: Cauchy’s
(steepest descent) method, Newton’s method.
Constrained Optimization Algorithms: Kuhn-Tucker conditions, Transformation methods, Penalty
function method, Method of multipliers, Sensitivity analysis, Direct search for
constraint Minimization, Variable elimination method, Complex search method,
Successive linear and quadratic programming, Optimization of staged and
discrete processes.
Specialized and Non-traditional Algorithms: Integer Programming: Penalty function method, Genetic
Algorithms (GA), Gas for constrained optimization, Advanced GA’s.
Recommended Books:
1.
Edgar, T.F.,and Himmelblau, D.M.,
Optimization of Chemical Processes, McGraw-Hill (1988).
2.
Kalyanmoy, D., Optimization for Engineering Design, Prentice Hall (1998).
3.
Beveridge, G.S.,
and Schechter,R.S., Optimization: Theory and Practice, McGraw-Hill Book Co., New York (1970).
4.
Husain, A., and Gangiah, K., OptimizationTechniques for Chemical Engineers,
Macmillan Co. of India (1976).
5.
Venkataraman,
P., Applied Optimization with MATLAB programming, Wiley (2009).