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509105. Process Optimization
Teaching scheme Examination Scheme
Lecture: - 3h/week Theory: - 100 Marks
Introduction to 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. Point-Estimation method: Successive quadratic estimation method.
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 & Non-traditional Algorithms: Integer Programming: Penalty function method, Nontraditional
Optimization Algorithms: Genetic Algorithms: Working principles, differences
between GAs and traditional methods, similarities between GAs and traditional methods, GAs
for constrained optimization, other GA operators, Real-coded GAs, Advaced GAs.
Reference
1. Kalyanmoy Deb ,Optimization for engineering design, , Prentice Hall of India
2. T.F.Edgar and D.M.Himmelblau, optimization of chemical processes, Mc Graw Hill,
3. International editions, chemical engineering series, 1989.
4. G.S. Beveridge and R.S. Schechter, Optimization theory and practice, Mc Graw Hill,
Newyork, 1970.
5. Rekllitis, G.V., Ravindran, A., and Ragdell, K.M., Engineering Optimization- Methods
and Applications, John Wiley, New York, 1983.
6. SS Rao, Optimization Theory and Applications
For more details, visit http://www.unipune.ernet.in/stud_info/Syllabi/Syllabus_2008.html
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