Optimization Techniques
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Follow on Instagram for UpdatesOptimization Techniques Syllabus — Unit-wise Content
The official GTU curriculum for Optimization Techniques (subject code ME02000431) as prescribed for MD · Semester 2 divides the course into 7 units, covering 33 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.
Download the official syllabus PDF (ME02000431)Unit 1 Introduction to Optimization
- Historical Development
- Engineering applications of Optimization
- Design vector and constraints
- Constraint surface
- Objective Program Name: Master of Engineering Level: PG Subject Code : ME02000431 Subject Name : Optimization Techniques function
- Classification Of Optimization Problems
Unit 2 Classical Optimization Techniques
- Single variable optimization
- Constrained and unconstrained multi- variable optimization
- Direct substitution method
- Lagrange’s method of multipliers
- Karush-Kuhn-Tucker conditions
Unit 3 Linear Programming
- Statement of an LPproblem
- Graphical Solution of an LP problem
- Simplex method
- Dual simplex method
Unit 4 Non-linear Programming
- One-dimensional minimization method Unimodalfunction
- Dichotomou ssearch
- Interval halving method
- Fibonacci method
- Golden section method
- Direct root methods
Unit 5 Non-linear Programming
- Unconstrained Optimization Techniques DirectSearchMethods:Randomsearchmethods
- Un ivariate method
- Hookes and Jeeves’ method
- Powell’s method Indirect Search Methods:Steepestdescent method
- Fletcher-Reeves method
- Newton’s method
Unit 6 Non-linear Programming
- Constrained Optimization Techniques Direct Methods: Random search method
- Sequential linear programming Indirect methods: Transformation techniques
- Exterior penalty function method
- Interior penalty function method
Unit 7 Evolutionary Algorithms
- Genetic algorithm
- Particle swarm optimization