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Course12610566360 lectures

Operations Research

Prof. Rajendra Singh · IIT Kharagpur

Start with lecture 1 At NPTEL

About

Operations Research is a multidisciplinary field that applies analytical methods to help make better management decisions. It is often called the “science of the better” because it focuses on optimising processes, resource allocation, and decision-making to achieve optimal solutions. The course helps solve complex real-world problems using mathematics and domain-specific knowledge.

Operations Research bridges the gap between theory and application, enabling systematic and evidence-based decision-making in various domains. It helps organisations deal with complexities, reduce costs, improve productivity, and gain a competitive edge. Its practical and quantitative approach makes it an essential tool for decision-makers.

Intended audience: Students studying Agricultural Engineering, Mechanical Engineering, Production and Industrial Engineering, Mechatronics, Environmental Science or related disciplines at the undergraduate or early graduate level. In addition, professionals or decision-makers may also find this course helpful.

Lectures

Week 1

  1. Lecture 01: OR - Introduction YouTube
  2. Lecture 02: OR and Systems Approach YouTube
  3. Lecture 03: Mathematical Modelling Process & Linear Programming YouTube
  4. Lecture 04: Linear Programming - Problem Formulation YouTube
  5. Lecture 05: Linear Programming - Problem Formulation YouTube

Week 2

  1. Lecture 06 : Linear Programming – Graphical Solution I YouTube
  2. Lecture 07 : Linear Programming – Graphical Solution II YouTube
  3. Lecture 08 : Linear Program in Standard form YouTube
  4. Lecture 09 : Linear Programming – Simplex Method I YouTube
  5. Lecture 10 : Linear Programming – Simplex Method II YouTube

Week 3

  1. Lecture 11: Linear Programming – Simplex Method YouTube
  2. Lecture 12: Big-M Simplex Method YouTube
  3. Lecture 13: Big_M_Practice Problems YouTube
  4. Lecture 14: Two-Phase Simplex Method YouTube
  5. Lecture 15: Two-Phase_Practice Problems YouTube

Week 4

  1. Lecture 16 : Revised Simplex Method I YouTube
  2. Lecture 17: : Revised Simplex Method II YouTube
  3. Lecture 18 : Duality Theory YouTube
  4. Lecture 19 : Dual Simplex Method YouTube
  5. Lecture 20 : Practice Problems YouTube

Week 5

  1. Lecture 21: Sensitivity Analysis YouTube
  2. Lecture 22: Sensitivity Analysis II YouTube
  3. Lecture 23: Sensitivity Analysis Practice Problems YouTube
  4. Lecture 24: Case Studies I YouTube
  5. Lecture 25: Case Studies II YouTube

Week 6

  1. Lecture 26 : Goal Programming YouTube
  2. Lecture 27 : Weighted Goal Programming YouTube
  3. Lecture 28 : Weighted Goal Programming Examples YouTube
  4. Lecture 29 : Lexicographic Goal Programming YouTube
  5. Lecture 30 : Example and Case Study YouTube

Week 7

  1. Lecture 31 : Transportation - Introduction & Mathematical Formulation YouTube
  2. Lecture 32 : Finding an Initial Basic Feasible Solution YouTube
  3. Lecture 33 : Degeneracy and Initial Basic Feasible Solution Examples YouTube
  4. Lecture 34 : Practice Problems YouTube
  5. Lecture 35 : Finding the Optimal Solution YouTube

Week 8

  1. Lecture 36: Practice Problems YouTube
  2. Lecture 37: Practice Problems – Solution Demo YouTube
  3. Lecture 38: Practice Problems YouTube
  4. Lecture 39: Case Study Examples YouTube
  5. Lecture 40: Assignment Problem YouTube

Week 9

  1. Lecture 41 : Assignment Problem – Practice Problem & Special Cases YouTube
  2. Lecture 42 : Assignment Problem – Special Cases YouTube
  3. Lecture 43 : Assignment Case Study & Inventory Control YouTube
  4. Lecture 44 : EOQ Models YouTube
  5. Lecture 45 : EOQ Practice Problems YouTube

Week 10

  1. Lecture 46 : Replacement Theory YouTube
  2. Lecture 47 : Sequencing Problem YouTube
  3. Lecture 48 : Queuing Theory - I YouTube
  4. Lecture 49 : Queuing Theory - II YouTube
  5. Lecture 50 : Case Study YouTube

Week 11

  1. Lecture 51: Project Management - Introduction to Network Analysis YouTube
  2. Lecture 52: Network Analysis - II YouTube
  3. Lecture 53: Solution by Network Analysis YouTube
  4. Lecture 54: CPM: Enumerative method YouTube
  5. Lecture 55: Practice Problems YouTube

Week 12

  1. Lecture 56: CPM: Mathematical Programming Models I YouTube
  2. Lecture 57: CPM: Mathematical Programming Models II YouTube
  3. Lecture 58: Introduction to PERT YouTube
  4. Lecture 59: Problem Examples on PERT and CPM YouTube
  5. Lecture 60: Project Management - Case study YouTube

Syllabus and materials

At NPTEL, as the course publishes them.

Credits and licence

Institution
IIT Kharagpur
Department
Agriculture
Teacher
Prof. Rajendra Singh
Level
Undergraduate
Language
English
Subjects
Biology
Source
NPTEL
Licence
CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
Attribution
NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
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