ME752A
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OPTIMIZATION METHODS IN ENGINEERING DESIGN
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Credits:
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3L-0T-0P-1A (10 Credits)
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Objective of the course:
This course will introduce the students to the basic fundamentals of optimization methods that can be used during a design process. Considering the computational aspect of the subject especially in higher dimensions, the course will involve significant amount of computational assignments and a term project in the general area of engineering optimization. To account for the extra effort required in these activities, an extra self-assessment credit has been assigned.
Course content: (Precise syllabus for publication in course bulletin)
Classical optimization methods, unconstrained minimization; Univariate, conjugate direction, gradient and variable metric methods, constrained minimization, Feasible direction and projections. Advanced topics like Integer and Geometric programming, genetic algorithms, simulated annealing techniques.
Lecture-wise breakup (each lecture of 50 minutes/one hour fifteen minutes duration):
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Sl. No.
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Topic
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Suggested number of lectures
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1
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Introduction and overview of optimization problems including the notion of convergence and convexity
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3/2
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2
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Basics of univariate unconstrained minimization
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3/2
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3
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Fundamentals of multivariate optimization including equation solving and least squares probelm
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4/3
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4
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Discussion of professional (applied) methods for multivariate optimization
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4/3
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5
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Basics of constrained optimization
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6/4
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6
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Linear programming problems
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3/2
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7
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Quadratic programming problem
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5/3
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8
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Different family of methods for solving a constrained optimizationb problem
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6/4
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9
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Advanced topics
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6/5
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Total number of lectures
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40/28
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Suggested text and reference materials:
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Optimization for Engineering Design. K Deb.
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Optimization concepts and applications in engineering, A. D. Belegundu and T. R. Chandrupatla.
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Linear and Nonlinear programming. S. Nash and A. sofer.
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