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Quick Facts

Medium Of Instructions	Mode Of Learning	Mode Of Delivery
English	Self Study	Video and Text Based

Course Overview

The Operations Research course by Swayam teaches an approach to solve problems that involves operation of systems using scientific techniques and tools. This course provides knowledge of techniques that can be used to solve real life problems in day to day life. Learning this course would help the candidate to manage problems in finance, healthcare, transportation, marketing and telecommunication.

This course covers concepts like linear programming, assignment problems, replacement theory, game theories, inventory theory and Queuing theory. It also wraps basic terminologies and concepts in three modes of dynamic programming.

Nonlinear programming methodologies like Lagrange multiplier methods, quadratic programming and KT conditions are also taught clearly. Learning this course would help the candidate to solve long term and short term problems very efficiently.

Special cases in transportation & assignment problems and travelling salesman problems are discussed with solutions. The entire course is divided into ten chapters with equal weightage. Each chapter has MCQ questions at the end that helps the candidate to learn every topic of the chapter very clearly.

The Highlights

The course duration of 15 weeks
Post Graduation level programme
E-learning programme offering
Credit transfer
Certification imparted by Swayam
Government aided course
Certification by government

Programme Offerings

video lectures
Puzzles
quizzes
Discussion forum Assessments
assignments
E-texts

Courses and Certificate Fees

Fees Informations	Certificate Availability	Certificate Providing Authority
INR 1000	yes	Jadavpur University, Kolkata

There is no registration fee to join the Operations Research course by Swayam.
The candidate is entitled to make a fee payment of Rs. 1000 for appearing in exams.
The programme is free of cost

The exam fee detail is described below

Category	Amount
Exam Fee	Rs.1000

Eligibility Criteria

Education

Candidates who are presently pursuing Post graduate in Mathematics are eligible for this programme.

Certification Qualifying Details

Candidates need to register and appear for the final examination. Once the exam is over, candidates need to pay a fee for a certificate as well.

What you will learn

Programming skills

This course gives a clear understanding of the candidate in areas in Operations Research field such as

Nonlinear, Integer and Dynamic programming
Basic characteristics of the Probability distribution of Arrivals and Queuing System
Components of critical path method and network
Assumptions and terminologies in job sequencing and processing
Formulation of Graphical method for solving Big-M method and LPP

Who it is for

Operations Manager

The Operations Research course by Swayam is specially developed for the following users

Post Graduates in maths domain
UG &PG Students

Admission Details

The participants can adhere to the following simple steps for registering themselves to the Operations Research course by Swayam.

Step 1: Visit the course website.

Step 2: The students can directly register if they already have an account in Swayam else they have to Sign-In.

Step 3: Note that the registration link for this programme isn’t available currently. The candidate can register when the link opens.

The Syllabus

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

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

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

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

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

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

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

Revision, Assignment and Evaluation

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)

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

Chapter 7 – Network Analysis

Module-3: Program Evaluation and Review Technique (PERT)
Module-4: LP and Dual LP Solutions to Network Problem

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

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

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

Revision, Assignment and Evaluation

Evaluation process

Details regarding the exam will be available when the registration form for the exam is published.

Instructors

Jadavpur University, Kolkata Frequently Asked Questions (FAQ's)

1: Are candidates supposed to pay any fee for pursuing courses from Swayam?

The courses delivered through Swayam are provided at free of cost by the government to the learners, but students wanting certifications shall be paying a little fee for the exam.

2: Where can a learner find the course and its syllabus and information regarding course credit?

The learner will be able to find the syllabus and course credit details on the course detail page. These details are visible to the learner even before registering for that course.

3: Can the user enroll into multiple courses with the Swayam portal?

Yes, the user can enrol in multiple courses on Swayam after registration. All the courses are self-paced so the participant can find his/her own time to complete the course.

4: How can the participant take classes from Swayam?

The participant can take classes from SWAYAM in online mode only through online course study materials, assignments, puzzles, quizzes, online discussion forum and video tutorials.

5: What are the benefits of this course?

This course improves the decision making skills of the candidate by providing better coordination and control and yields higher productivity. It helps the user to easily tackle the real world problems in their routine.

6: What is the duration of this course?

The duration of this course is 15 weeks. Weekly assignments and assessments are provided during the course which gradually improves the knowledge of the candidate in the preferred field.

7: Can the candidate attempt the assessments from mobile?

Yes, the candidate can attempt the tests and attend the classes through mobile as well. An application called Swayam is available in play stores. The candidate can download and use them.

8: Is there any qualification needed to attend the course?

No, there is no qualification. The candidates who are interested to take this course can attend. This course is specially meant for post graduates from mathematics.

9: How can the candidate search for a particular programme in Swayam?

The candidate can search using filters like national coordinator, course duration, exam date and course credits. They can also look for the needed courses under the enrolment open and enrolment closed categories.