Operational Research
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Follow on Instagram for UpdatesOperational Research Syllabus — Unit-wise Content
The official GTU curriculum for Operational Research (subject code ME03000121) as prescribed for C(E · Semester 3 divides the course into 7 units, covering 49 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 (ME03000121)Unit 1 Basics of Optimization
- General methods for operation research models
- introduction to linear and non-linear programming formulation of different models
Unit 2 Linear Programming Problems
- Properties of Linear Programming Solution
- Formulation of a LPP, - graphical solution
- simplex method
- Big M Method
- Dual Simplex method
- duality in LPP, sensitivity analysis
- Integer linear programming
- revised simplex method
- parametric linear programming
- Dynamic programming under certainty
- Dynamic programming approach for solving LPP
Unit 3 Project Management and Inventory Control
- CPM, PERT
- Crashing of Project Network
- Project Scheduling with Constrained Resources
- Models of Inventory
- Operation of Inventory system
- Purchase Inventory model
- Multiple-item Model with Shortage limitation
- EOQ Model for Purchase Model for Multi-item Joint Replenishment
Unit 4 Decision and Game Theory
- Decision under Certainty
- Decision under Risk
- Decision under Uncertainty
- Decision Tree
- Theory of games
- Game with Pure Strategies
- Game with Mixed Strategies
- Saddle point
- Dominance Property
Unit 5 Classical Optimization Methods
- Single variable optimization
- Program Name: Master of Engineering Level: PG Subject Code: ME03000121 Course/Subject Name: Operational Research Constrained and unconstrained multi-variable optimization
- Direct substitution method
- Lagrange’s method of multipliers
- Kuhn Tucker conditions
Unit 6 Non-linear Programming
- Constrained Optimization Techniques Unimodal function
- Unrestricted search
- Exhaustive search
- Dichotomous search
- Interval halving method
- Fibonacci method
- Golden section method Unconstrained Optimization Techniques Direct Search Methods: Random search methods
- Grid search method
- Univariate method
- Constrained Optimization Techniques Direct Methods: Random search method
- Sequential linear programming
Unit 7 Evolutionary Algorithms An overview of evolutionary algorithms,
- Simulated annealing algorithm
- Genetic algorithm
- Particle swarm optimization
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