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511112 Optimization Techniques - Elective IV Teaching Scheme Examination Scheme Lectures: 3 hrs/week Theory: 100 Marks Duration: 3 hours Credits - 3
1. Introduction to optimization Engineering Applications, statement of an optimization problem, classification. Introduction to optimization techniques. 2. Single variable optimization Fabbonci search methods, golden section search methods, gradient based methods, Newton- Raphson method, secant method. 3. Multi-variable optimization Direct search methods: Evolutionary optimization method, Powell’s conjugate direction method. Gradient based methods: Steepest descent method, Newton’s method. 4. Constrained optimization Constraint handling methods, method of feasible directions, generalized reduced gradient method, gradient projection method. 5. Specialized algorithms: Integer programming, geometric programming. 6. Non-Traditional Optimization Algorithms Genetic algorithms (GA) - working principle, Differences and Similarities between GA’s and traditional methods, GA’s for constrained optimization. Simulated Annealing (SA) approach – introduction only.
References 1. Rao S S “Optimization”, Wiley Eastern, New Delhi, 1995. 2. Kalyanamoy Deb, “Optimization for engineering design”, Prentice Hall of India, New Delhi, 2000. 3. Ravindran, Phillips and Solberg, “Operations Research: Principles and Practice”, John Wiley & Sons (Asia), Pvt. Ltd. 4. H. S. Kasana and K. D. Kumar, “Introductory Operations Research: Theory and Applications”, Springer International Edition. 5. Belegundu, “Optimization Concepts and Applications in Engineering”, Wiley Students Edition. 6. Deb, “Multi Objective Optimization Using Evolutionary Algorithms”, Wiley Students Edition. 7. Fletcher, “Practical Methods of Optimization”, Wiley Students Edition.
For more details, visit http://www.unipune.ernet.in/stud_info/Syllabi/Syllabus_2008.html
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