Advance Operations Research
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Follow on Instagram for UpdatesAdvance Operations Research Syllabus — Unit-wise Content
The official GTU curriculum for Advance Operations Research (subject code 2744602) as prescribed for M(E · Semester 4 divides the course into 11 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 (2744602)Unit 1 General concepts
- OR Models
- OR Techniques and phases of implementing OR in practice
Unit 2 Linear Programming Model
- Formulation of mathematical models
- Solution of linear programming problems involving product mix, resource allocation
- transportation and assignment by graphical
- simplex and dual simplex methods
- Duality theorem and applications and Sensitivity analysis
Unit 3 Transportation Problems
- General Concepts
- Formulation of TT problems and LP formulation of TT Problems
- Solution Methods: North West Corner Method
- Least Cost Method
- Vogels Approximation Method
- Optimality Tests: Stepping Stone Method and Modified Distribution method
- Balanced/Unbalanced transportation problem
Unit 4 Assignment Problems
- General Concepts
- Assumptions & Limitations
- Formulation and solution of assignment problem
- Special Issues: Restricted routes/Multiple Optimal Solutions
Unit 5 Network Analysis
- Introduction to Network
- Minimum spanning tree algorithm
- Shortest path problem
- Maximal flow problem
Unit 6 Project Management
- Applications of Networks
- Types of Networks: Critical Path Method and Programme Evaluation Review Technique
- Estimation of Project completion time
- Project Cost Analysis: Crashing
- Project cost time trade- off, Resource allocation techniques
Unit 7 Queuing Model
- Queuing theory notation and assumptions
- Poisson’s queuing models
Unit 8 Games theory
- Two-person zero-sum games
- The Maximin -Minimax principle
- Games without saddle points - Mixed Strategies
- 2xn and mx2 Games -Dominance property
- Algebraic solutions to rectangular games
- Graphical solution
Unit 9 Integer programming
- Graphical representation
- Gomory's cutting plane method
- Branch-and-bound method
- Travelling salesman problem
- Cargo loading problem
Unit 10 Non linear programming
- Single variable optimization Introduction
- Kuhn-Tucker conditions
- Quadratic programming
- Separable programming
Unit 11 Special topics
- Analytic Hierarchy Process for Decision Making
- Extreme Difference Method
- Generalized Transportation Problem
- Generalized Assignment Problem
- Multi-objective Transportation Problem
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