Industrial Engineering - Operations Research

Linear programming problems, Transportation & Assignment Problems, Sequencing, Queuing Theory, CPM & PERT Analysis.

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Last Updated: 2022-06-13 07:06:33 English Course Type: Self Learning

Linear Programming Problem LPP - Graphical method, Slope method, Simplex method
Transportation Problem - North-West Corner rule or DENTZY's method, Vogel's approximation method (VAM)
Assignment Problem - Hungarian method or Flood technique
Sequencing - Shortest Processing Time (SPT) Rule, Earliest Due Date (EDD), n jobs in 2 machines
Queuing Theory - Mathematical study of queues, Kendall Notation
Network Analysis - Critical Path Method (CPM), Program Evaluation Review Technique (PERT)

Being one of the most most prominent subject in mechanical/manufacturing/industrial engineering curriculum, This subject has very much weightage in every aspect. Be it for academic proficiency, acing competitive exams or cracking that tough interview, OR (Operations Research) plays a very significant role.

In professional front, The field of operations research provides a more powerful approach to decision making than ordinary software and data analytics tools. Employing operations research, professionals can help companies achieve more complete datasets, consider all available options, predict all possible outcomes and estimate risk. . Additionally, operations research can be tailored to specific business processes or use cases to determine which techniques are most appropriate to solve the problem.

----- The ultimate aim of all the tools & practices involved in OR is to "Optimize" ------

In this course we are going to get the knowledge of various tools & practices of operations research with an ultimate aim to optimize problems & increase productivity. The course is divided into several sections, Linear Programming Problems, Transportation problems, Assignment problems, Sequencing, queuing theory & lastly PERT & CPM:

Linear Programming Problems (LPP) - In LPP, we will understand how to optimize a problem by using various methods like graphical method, slope method & simplex method. We will also understand about binding constraints & certain special cases.

Transportation & Assignment problems - In transportation, we will understand about popular methods like N-W corner rule & Vogel’s approximation method to optimize a transportation related problem. Whereas for assignment problems, we will look into Hungarian method.

Sequencing - In sequencing we will learn about n jobs in 1 machine via – Shortest Processing Time rule or SPT & Earliest due date rule or EDD. And n jobs in 2 machines.

Queuing theory - In queuing theory, we will get to know about the mathematical study of queues, Kendall notation, various queuing terminologies like arrival rate, service rate, calling population & many more.

Network analysis - We will do network analysis via PERT & CPM which comes very handy for project planning & execution.

The bottom-line of this course is to teach you the academic aspects of operations research keeping in mind the practical application to a greater extent. By taking this course, you are not only increasing your knowledge in academic front but also gaining insights about optimization at industry level.

No experience is needed. Just a sound background of mathematics.
The most important trait -

Mechanical engineering graduates & undergraduates.
Industrial or manufacturing engineering graduates & undergraduates.
Professionals working in industry who want to optimize something.
University students having OR (Operations Research) as their subject.
Aspirants preparing for post engineering competitive examination.

Section 1 : Introduction 1 Lectures 00:02:26
Lecture 1 :
Scope of the course Preview
Section 2 : LLP - Linear Programming Problems 10 Lectures 00:50:14
Lecture 1 :
What are Optimization problems
Lecture 2 :
Mathematical formulation of LPP
Lecture 3 :
Steps for solving an LPP
Lecture 4 :
LPP Formulation
Lecture 5 :
How to draw graphs
Lecture 6 :
Numerical based on graphical method
Lecture 7 :
Shortcut Slope method
Lecture 8 :
Binding constraints & Special cases
Lecture 9 :
LPP Analytical (Simplex) method
Lecture 10 :
Numerical based on simplex method
Section 3 : Transpiration Problems 5 Lectures 00:19:18
Lecture 1 :
What are transpiration problems?
Lecture 2 :
Allocation
Lecture 3 :
North-West Corner rule or DENTZY's methods
Lecture 4 :
Vogel's approximation method (VAM)
Lecture 5 :
Numerical on transportation problems
Section 4 : Assignment Problems 4 Lectures 00:10:18
Lecture 1 :
Understanding assignment problems
Lecture 2 :
Hungarian method or Flood technique
Lecture 3 :
Numerical on assignment problem
Lecture 4 :
Solving maximization transportation & assignment problems
Section 5 : Sequencing 5 Lectures 00:17:48
Lecture 1 :
The appropriate order
Lecture 2 :
SPT - Shortest Processing Time
Lecture 3 :
EDD - Earliest Due Date
Lecture 4 :
n jobs in 2 machines
Lecture 5 :
Numerical on n jobs in 2 machines
Section 6 : Queuing Theory 5 Lectures 00:15:24
Lecture 1 :
Mathematical study of queues
Lecture 2 :
Why is queuing theory important
Lecture 3 :
Kendall Notation
Lecture 4 :
Important formulae
Lecture 5 :
Numerical on queuing theory
Section 7 : PERT & CPM - Network Analysis 9 Lectures 00:21:44
Lecture 1 :
Project,Activity & Event
Lecture 2 :
Rules for network diagram
Lecture 3 :
Types of network diagram
Lecture 4 :
How to make a network diagram
Lecture 5 :
Network analysis
Lecture 6 :
CPM - Critical Path Method
Lecture 7 :
Computational approach of CPM
Lecture 8 :
PERT - Program Evaluation Review Technique
Lecture 9 :
Numerical on PERT analysis

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J Aatish Rao,

5945 Course Views

8 Courses

A dynamic team-spirited mechanical engineering professional having 8+ years of industrial exposure. "Conducting workshops & engaging in teaching activities is the key ingredients of life". Certified to provide training on various software, science & engineering-related topics. AutoDesk Certified Professional,AutoDesk Fusion Certified user, ClearFit Certified Team Leader, Industrial Consultant and a keen enthusiast of stargazing. E-learning is such a supplement which can nourish you without being physically present :)