18ME754: Optimization Techniques ME Syllabus for BE 7th Sem 2018 Scheme VTU (Open Elective-B)

Optimization Techniques detailed Syllabus for Mechanical Engineering (ME), 2018 scheme has been taken from the VTUs official website and presented for the VTU students. For Course Code, Teaching Department, Paper Setting Board, Theory Lectures, Tutorial, Practical/Drawing, Duration in Hours, CIE Marks, Total Marks, Credits and other information, visit full semester subjects post given below. The Syllabus PDF files can also be downloaded from the official website of the university.

For all the other VTU 7th Sem ME Syllabus for BE 2018 Scheme, do visit Mechanical Engineering 7th Sem 2018 Scheme. For all the Open Elective-B subjects refer to Open Elective-B Scheme. The detail syllabus for optimization techniques is as follows.

Course Learning Objectives:

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Module-1

Introduction: Statement of optimisation problem, Design vector, Design constraints, Objective function, Classification of optimisation problems based on :constraints, nature of design variables, nature of the equations involved Single variable optimisation: Necessary and sufficient conditions, Multivariable optimization with no constraints: Necessary and sufficient conditions, Semi definite case, Saddle point, Multi variable optimization with equality constraints, Solution by direct substitution, Lagrange Multipliers, Interpretation of Lagrange multipliers, Multivariable optimization with inequality constraints: Khun Tucker conditions(concept only).

Module-2

Nonlinear Programming: One-Dimensional Minimization Methods, Introduction, Unimodal Function, Elimination methods: unrestricted search, fixed step size, accelerated step size, Exhaustive search: dichotomous search, interval halving method, Fibonacci method, golden section method, Interpolation methods: Quadratic and cubic interpolation method, direct root method, Newton method, Quasi-Newton method, secant method.

Module-3

Module-4

Nonlinear Programming: Indirect Search (Descent) Methods: Gradient of a function, Steepest decent method, Fletcher Reeves method, Newton’s method, Davidson-Fletcher-Powell method.

Module-5

Integer Programming: Introduction, Graphical representation, Gomory’s cutting plane method: concept of a cutting plane, Gomory’s method for all-integer programming problems, Bala’s algorithm for zero-one programming, Branch-and-Bound Method.

Course Outcomes:

Question Paper Pattern:

The question paper will have ten full questions carrying equal marks.
Each full question will be for 20 marks.
There will be two full questions (with a maximum of four sub- questions) from each module.
Each full question will have sub- question covering all the topics under a module.
The students will have to answer five full questions, selecting one full question from each module.
Each full question will have sub- question covering all the topics under a module.
The students will have to answer five full questions, selecting one full question from each module.

Text Books:

Engineering Optimization Theory and Practice S. S. Rao John Wiley & Sons Fourth Edition 2009
Optimisation Concepts and Applications in Engineering A. D. Belegundu, T.R. Chanrupatla, Cambridge University Press 2011

Reference Books:

For detail Syllabus of all other subjects of BE Mechanical Engineering, 2018 scheme, visit Mechanical Engineering 7th Sem Syllabus for 2018 scheme.

For all (CBSE & Non-CBSC) BE results, visit VTU BE all semester results.

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