ISDLO5012: Optimization Techniques Syllabus for IS 5th Sem 2018 Pattern Mumbai University (Department Level Optional Course-1)

Optimization Techniques detailed syllabus scheme for Instrumentation Engineering (IS), 2018 regulation has been taken from the MU official website and presented for the Bachelor of Engineering students. For Course Code, Course Title, Test 1, Test 2, Avg, End Sem Exam, Team Work, Practical, Oral, Total, and other information, do visit full semester subjects post given below.

For 5th Sem Scheme of Instrumentation Engineering (IS), 2018 Pattern, do visit IS 5th Sem Scheme, 2018 Pattern. For the Department Level Optional Course-1 scheme of 5th Sem 2018 regulation, refer to IS 5th Sem Department Level Optional Course-1 Scheme 2018 Pattern. The detail syllabus for optimization techniques is as follows.

Optimization Techniques Syllabus for Instrumentation Engineering TE 5th Sem 2018 Pattern Mumbai University

Course Objectives:

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Course Outcomes:

Students will be able to –

1. Translate descriptive statements of the design engineering problems in to a mathematical statement of optimization.
2. Write optimality conditions for unconstrained and constrained problems and use Lagrange multiplier and KKT necessary conditions for solving problems.
3. Translating linear programming problem (LPP) in to standard form and then use simplex or two phase simplex method.
4. Use alternate form of two-phase simplex method called Big-M method also write dual problem for the given LP Problem for solving it.
5. Explain gradient-based search and direct search methods for design optimization problems.
6. Use the numerical methods for unconstrained optimization.

Prerequisites:

Knowledge of derivative, partial differentiation, Matrix Algebra, Taylor series.

Module 1

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Module 2

Classical Optimization Techniques: Fundamental concepts- local and global minima, local and global maxima, quadratic form, necessary and sufficient condition of single and multivariable optimization with no constraints, multivariable optimization with equality and inequality constraints (Kuhn-Tucker condition), Lagrange Theorem, Convex programming problem 04 CO2

Module 3

Linear Programming – Simplex Method Definition of linear programming problem (LPP), standard form of LPP, terminology, basic concepts, Simplex Algorithm and flowchart, simplex method, two-phase simplex method, Duality in LPP 08 CO3

Module 4

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Module 5

Numerical Methods for Unconstrained Optimum Design – Direct Method General algorithm for unconstrained minimization methods, rate of convergence, unimodal and multimodal function, reduction of a single variable, one dimensional minimization methods- Equal Interval method, Golden section search method. 04 CO5

Module 6

Numerical Methods for Unconstrained Optimum Design -Indirect Method Gradient of a function, Steepest Descent, Conjugate gradient (Fletcher-Reeves), Step size determination – polynomial interpolation, properties of gradient vector, scaling of design variables, Newtons method, Quasi Newton method, DFP method, BFGS method, 08 CO6

Internal Assessment:

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Theory Examination:

1. Question paper will comprise of 6 questions, each carrying 20 Marks.
2. Total 4 questions need to be solved.
3. Question No. 1 will be compulsory and based on entire syllabus wherein sub questions of 4 to 5 marks will be asked.
4. Remaining questions will be mixed in nature.
5. In question paper weightage of each module will be proportional to number of respective lecture hours as mentioned in the syllabus.

Text Books:

1. Jasbir S. Arora, Introduction to Optimum Design, 3rd Edition, Academic Press – 2012.

Reference Books:

1. S. S. Rao, Optimization, 3rd Enlarged Edition, New Age International (P) Ltd., Publishers, New Delhi, 2010.
2. T. E. Edger and D. M. Himmeblaue, Optimization of Chemical Processes, McGraw Hill International Editions, 1989.
3. William L. Luyben, Process Modeling, Simulation, And Control For Chemical Engineers McGraw-Hill Publishing Company,1990.
4. Kalyanmoy Deb, Optimization for Engineering Design, Prentice Hall of India (P) Ltd., New Delhi, 1998.
5. Ashok D. Belegundu, Optimization concepts and applications in Engineering, Pearson Education, 2002.

For detail Syllabus of all subjects of Instrumentation Engineering (IS) 5th Sem 2018 regulation, visit IS 5th Sem Subjects of 2018 Pattern.