Engineering Optimization
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Follow on Instagram for UpdatesEngineering Optimization Syllabus — Unit-wise Content
The official GTU curriculum for Engineering Optimization (subject code 2720821) as prescribed for M( · Semester 2 divides the course into 7 units, covering 35 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 (2720821)Unit 1 Introduction to Optimization
- Engineering applications of Optimization
- Design vector and constraints
- Constraint surface
- Objective 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 LP problem
- Simplex method
- Dual simplex method. 03 10%
Unit 4 Non-linear Programming
- One-dimensional minimization: Unimodal function
- Unrestricted search
- Exhaustive search
- Dichotomous search
- Interval halving method
- Fibonacci method
- Golden section method
- Direct root methods: Newton-Raphson and Quasi Newton methods
Unit 5 Non-linear Programming
- Unconstrained Optimization Techniques: Direct Search Methods: Random search methods
- Grid search method
- Univariate method
- Hookes and Jeeves’ method
- Powell’s method Indirect Search Methods: Steepest descent 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 Modern Methods of Optimization
- Genetic algorithms
- simulated annealing
- fuzzy optimization
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