Teaching Scheme (in Hours)
Theory |
Tutorial |
Practical |
Total |
3 |
2 |
0 |
5 |
Subject Credit : 5
Examination Scheme (in Marks)
Theory
ESE (E)
|
Theory
PA (M)
|
Practical
ESE Viva (V)
|
Practical
PA (I)
|
Total
|
70 |
30 |
30 |
20 |
150 |
Syllabus Content
Unit-1: Operations Research
Origin of Operation Research, Historical Standpoint, Methodology, Different Phases, Characteristics, Scope and Application of Operations research.
Unit-2: Linear Programming Problem
Introduction, 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/1:8/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
Introduction, Replacement of capital equipment which depreciated with time, replacement by alternative equipment, Group and individual replacement policy
Unit-7: Game Theory
Introduction, Characteristics of Game Theory, Two Person, Zero sum games, Pure strategy. Dominance theory, Mixed strategies (2x2, mx2), Algebraic and graphical methods
Unit-8: Decision Theory
Introduction, 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
Reference Books
Sr. |
Title |
Author |
Publication |
Amazon Link |
1 |
Operations Research: An Introduction |
Hamdy Taha |
Pearson |
|
2 |
Operations Research |
D.S Hira & PK Gupta |
S. Chand |
|
3 |
Quantitative Techniques in Management |
N D Vohra |
Tata McGraw -Hill |
|
4 |
Operations Research: Quantitative Techniques for Management |
V. K. Kapoor |
Sultan Chand & Sons |
|