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Optimization Techniques in Engineering

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Course
Undergraduate
Semester
Sem. VII
Subject Code
AE413

Syllabus

Introduction to optimization – linear programming – duality and sensitivity analysis – integer programming – nonlinear programming – unconstrained optimization – constrained optimization: equality and inequality constraints – optimality conditions and optimization approaches – nontraditional optimization approaches – applications in aerospace engineering.

Text Books

1. Ravindran, A., Phillips, D. T., and Solberg, J. J., Operations Research: Principles and Practice, 2nd ed., Wiley-India (2006).

2. Rao, S. S., Engineering Optimization: Theory and Practices, 4th ed., John Wiley (2009).

References

1. Winston, W. L., Operations Research: Applications and Algorithms, 4th ed., Cengage Learning (2010).

2. Ravindran, A., Ragsdell, K. M., and Reklaitis, G. V., Engineering Optimization: Methods and Applications, 2nd ed., Wiley-India (2006).

3. Deb, K., Optimization for Engineering Design: Algorithms and Examples, 2nd ed., PHI Learning (2012).

4. Deb, K., Multi-Objective Optimization Using Evolutionary Algorithms, Wiley-India (2010).

Course Outcomes (COs):
CO1: Apply basic concepts of mathematics to formulate an optimization problem.

CO2: Analyze and solve general linear programming, integer programming and other operations research problems.

CO3: Analyze and solve various constrained and unconstrained non-linear programming problems in single variable as well as multivariable.

CO4: Implement computer codes for mathematical as well non-traditional methods, and analyze the results.