MAK511

School of Engineering \ Mechanical Engineering

3

9

Elective

Turkish

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Basic concepts in optimization. Unconstrained optimization. Analytical solution, numerical methods and algorithms for unconstrained optimization. Constrained optimization. Analytical solution, numerical methods and algorithms for constrained optimization. Response surface method. Global optimization methods. Multi-objective optimization. Multidisciplinary optimization. Optimization under uncertainty.

R.T. Haftka, Z. Gürdal, Elements of Structural Optimization, 3rd Edition, Kluwer Academic Publishers, 1992.
-- G.N. Vanderplaats, Numerical Optimization Techniques for Engineering Design, VR&D, 1998.
-- S.S. Rao, Engineering Optimization: Theory and Practice, 4th Edition, John Wiley & Sons, 2009.
-- J.S. Arora, Introduction to Optimum Design, 3rd Edition, Elsevier, 2012.

Basic concepts in optimization. Unconstrained optimization. Analytical solution, numerical methods and algorithms for unconstrained optimization. Constrained optimization. Analytical solution, numerical methods and algorithms for constrained optimization. Response surface method. Global optimization methods. Multi-objective optimization. Multidisciplinary optimization. Optimization under uncertainty.

1. To gain the ability to define optimization problems and to understand their mathematical foundations.
2. To gain the ability to determine the most appropriate optimization method for solving an optimization problem.
3. To gain the ability to optimize the performance of mechanical systems by applying optimization techniques.

Week 1: Introduction
Week 2: Fundamentals of Optimization
Week 3: Unconstrained Optimization
Week 4: Unconstrained Optimization (continued)
Week 5: Unconstrained Optimization (continued)
Week 6: Constrained Optimization
Week 7: Constrained Optimization (continued)
Week 8: Response Surface Method
Week 9: Global Methods
Week 10: Multi-objective Optimization
Week 11: Multidisciplinary Optimization
Week 12: Optimization under Uncertainty