| Course Status : | Upcoming |
| Course Type : | Core |
| Language for course content : | English |
| Duration : | 15 weeks |
| Category : |
|
| Credit Points : | 4 |
| Level : | Postgraduate |
| Start Date : | 14 Jul 2025 |
| End Date : | 31 Oct 2025 |
| Enrollment Ends : | 31 Aug 2025 |
| Exam Date : | |
| NCrF Level : | 6.5 |
| Industry Details : | Manufacturing, Supply chain analytics, Logistics, Finance, Telecommunications Government |
Week 1: Chapter 1 –
Linear Programming Problem
Module-1: Mathematical Formulation of LPP and Graphical Method for Solving LPP
Module-2: Simplex Method for Solving LPP and
Big-M Method
Week 2: Chapter
1 – Linear Programming Problem
Module-3: Some Special Cases in LPP
Module-4: Duality,
and Solving LPP using Duality in Simplex Method
Module-5: Dual Simplex Method and Revised Simplex Method
Week 3: Chapter 2 – Transportation and
Assignment Problems
Module-1: Mathematical Formulation and Initial BFS of Transportation Problem
Module-2: Optimality
Test by Stepping Stone Method and MODI Method, and Some Special Cases of
Transportation Problem
Module-3: Assignment
Problem and Its Solution by Hungarian Method, and Travelling Salesman Problem
Week 4: Chapter 3 – Game Theory
Module-1: Basic Concept and Terminologies, Two-person Zero-sum Game, and Game with
Pure and Mixed Strategies
Module-2: Dominance
Principle, Arithmetic Method, and Graphical Method for Solving (2× n) Game
Module-3: Graphical
Method for Solving (m×2) Game and Solution of Game by Simplex Method
Week 5: Chapter 4 – Job Sequencing and
Replacement Theory
Module-1: Basic Terminologies and Assumptions of Job Sequencing, and
Processing of n Jobs through 2
and 3 Machines
Module-2: Processing n Jobs through m Machines, and Processing 2 Jobs
through m Machines - Graphical
Method
Module-3:
Introduction to Replacement Theory and Determination of Optimal Replacement Time
Module-4:
Selection of the Best Machine, and Individual and Group Replacement Policies
Week 6: Chapter 5 – Inventory Theory
Module-1: Economic Order Quantity and
EOQ Models without Shortage
Module-2: EOQ models with Shortage and EPQ Models with/without Shortages
Week 7: Chapter 5 – Inventory Theory
Module-3: Multi-item Inventory Models, Purchase Inventory Model, and Inventory
Models with Price Breaks
Module-4: Newsboy
Problem and Probabilistic Inventory Model with Instantaneous Demand and No Set
up Cost
Module-5: Probabilistic
Inventory Model with Uniform Demand and No Set up Cost, and Buffer Stock in
Probabilistic Inventory Model
Week 8: Revision,
Assignment and Evaluation
Week 9: Chapter
6 – Queuing Theory
Module-1: Basic Characteristics of Queuing System and Probability
Distribution of Arrivals
Module-2:
Probability Distribution of Departures and Model I (M|M|1):(∞|FCFS)
Module-3:
Model I. (General): (M|M|1): (∞|FCFS), and Model II. (M|M|1):
(N|FCFS)
Module-4:
Model III - (M|M|s): (∞|FCFS), and Model IV - (M|Ek|1): ( ∞|FCFS)
Week 10: Chapter
7 – Network Analysis
Module-1: Basic Components of Network and Critical Path Method (CPM)
Module-2: Total
Float and Free Float of Activity, and CPM Model: Time-cost Optimization
Week 11: Chapter
7 – Network Analysis
Module-3: Program Evaluation and Review Technique (PERT)
Module-4: LP
and Dual LP Solutions to Network Problem
Week 12: Chapter
8 – Dynamic Programming
Module-1: Basic Concept and Terminology, and Dynamic Programming Models I and II
Module-2: DP Model III,
Solution of Discrete DP Problem and Solution of LPP by DP
Week 13: Chapter
9 – Integer Programming
Module-1: Introduction to Integer Programming, and Gomory's Cutting Plane Method
for All IPP
Module-2: Gomory's
Cutting Plane Method for Mixed IPP, and Branch and Bound Method
Week 14: Chapter
10 – Nonlinear Programming
Module-1: NLPP with Equality Constraints: Lagrange Multiplier Method
Module-2: NLPP
with Inequality Constraints: Kuhn-Tucker (KT) Conditions, and Quadratic
Programming
Module-3: Wolfe's
Modified Simplex Method and Beale's Method
Week 15: Revision,
Assignment and Evaluation
Dr.Bibhas C. Giri is a Professor in the
Department of Mathematics at Jadavpur University, where he also completed his
M.Sc. in Mathematics and Ph.D. in Operations Research. He has been teaching
Operations Research at the postgraduate level since 2005.His research interests
include Sustainable and Green Supply Chain Management, the impact of emerging
technologies such as Blockchain and Artificial Intelligence/Machine Learning on
supply chain performance, Inventory Theory, Production Planning and Control,
Multi-Criteria Decision Making, and Soft Computing with a focus on Fuzzy Systems.Dr.Giri
has authored over 250 research articles in international peer-reviewed journals
and contributed 10 chapters to edited volumes. His work has been cited more
than 14,000 times (Google Scholar), and he has so far supervised 25 Ph.D.
scholars.He has received several prestigious international fellowships,
including the Alexander von Humboldt Fellowship (Germany), Fulbright Fellowship
(USA), and Commonwealth Fellowship (UK). He currently serves as Vice-President
of the Operational Research Society of India.
All students who obtain 40% marks in the internal assessment and 40% marks in the end-term proctored exam separately will be eligible for the SWAYAM Credit Certificate.
The online registration form has to be filled and the final exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
DOWNLOAD APP
FOLLOW US