Operation Research
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Operation Research Syllabus — Unit-wise Content
The official GTU curriculum for Operation Research (subject code 2171901) as prescribed for Manufacturing · Semester 7 divides the course into 9 units, covering 53 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 (2171901)Unit 1 Operations Research
- Origin of Operation Research
- Historical Standpoint
- Different Phases
- Scope and Application of Operations Research
Unit 2 Linear Programming Problem
- Requirement of LP, Basic Assumptions
- Formulation of LP, General Statement of LP, Solution techniques of LP: Graphical Methods
- Analytical Methods: Simplex
- Big M and Two Phase
- Sensitivity Analysis
- Primal and Dual Problems
- Economic Interpretation
Unit 3 Transportation and Assignment
- Transportation Problems definition
- Linear form
- Solution methods: North west corner method
- least cost method
- Vogel’s approximation method
- Degeneracy in transportation
- Modified Distribution method
- Unbalanced problems and profit maximization problems
- Transshipment Problems
- Assignment Problems and Travelling sales man Problem
Unit 4 Queuing Theory
- Basis of Queuing theory
- elements of queuing theory
- Kendall’s Notation
- Operating characteristics of a queuing system
- Classification of Queuing models
- Preliminary examples of M/M/1:∞/FCFA
Unit 5 Inventory Control
- Inventory classification
- Different cost associated to Inventory
- Economic order quantity
- Inventory models with deterministic demands
- ABC analysis
Unit 6 Replacement theory
- Replacement of capital equipment which depreciated with time
- replacement by alternative equipment
- Group and individual replacement policy
Unit 7 Game Theory
- Characteristics of Game Theory
- Two Person
- Zero sum games
- Pure strategy
- Dominance theory
- Mixed strategies (2x2
- Algebraic and graphical methods.
Unit 8 Decision Theory
- Decision under certainty
- Decision under risk
- Decision under uncertainty: Laplace criterion
- MaxiMin criterion
- MiniMax criterion
- savage MiniMax regret criterion
- hurwicz criterion
- Decision tree
Unit 9 Project Management
- Introduction to PERT and CPM, critical Path calculation
- float calculation and its importance
- Cost reduction by Crashing of activity. 06 Total Hours
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