Optimization Theory
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Follow on Instagram for UpdatesOptimization Theory Syllabus — Unit-wise Content
The official GTU curriculum for Optimization Theory (subject code 2722912) as prescribed for PE · Semester 2 divides the course into 6 units, covering 31 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 (2722912)Unit 1 Introduction
- Basic concepts
- formulation of problems
- Optimality conditions classification of optimization Problems
- Classical Optimization techniques
- single variable algorithms
- Multivariable algorithms without and with constraints
Unit 2 Multivariable Search
- Linear programming problem- simplex method
- Mixed-integer programming
- Goal programming
- Quadratic Programming
- Transportation models and its variants
- Sequencing problem
- Replacement theory
Unit 3 Non- Linear Programming
- One dimensional methods
- Elimination methods
- Interpolation methods
- Sensitivity method for Unconstrained optimization techniques- Direct search and Descent methods
- Constrained optimization techniques
- direct and indirect methods
Unit 4 Specialized Optimization Techniques
- Geometric Programming
- Dynamic programming
- Integer programming
- Simulated Annealing
- Swarm Optimization
- Ant Colony Optimization
Unit 5 Advanced techniques of linear programming problems, Revised simplex
- Stochastic Programming
- Network models
- Genetic Algorithm
- Optimization of Fuzzy Systems
- Multi-objective Optimization
Unit 6 Case studies
- Various case studies in engineering field