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Last updated:

September 26, 2023

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

Description

Introduction to Operations Research. Instructor: Prof. G. Srinivasan, Department of Management Studies, IIT Madras.

Operations research is a field of study about optimizing performance under given constraints. Operations research also helps us develop models for decision making. The course covers topics on linear programming, graphical and algebraic solutions, simplex algorithm, duality, understanding the dual, solving LPs using solver, transportation problem and assignment problem. (from nptel.ac.in)

Course Curriculum

    • Lecture 01 – Product Mix Problem and Notations Unlimited
    • Lecture 02 – Manpower and Production Planning Formulations Unlimited
    • Lecture 03 – Media Selection Problem and Bicycle Problem Unlimited
    • Lecture 04 – Caterer Problem Unlimited
    • Lecture 05 – Maximum Flow and Bin Packing Problems Unlimited
    • Lecture 06 – Graphical Method (Maximization) Unlimited
    • Lecture 07 – Graphical Method (Minimization) Unlimited
    • Lecture 08 – Algebraic Method (Maximization) Unlimited
    • Lecture 09 – Algebraic Method (Minimization) Unlimited
    • Lecture 10 – Comparing Graphical and Algebraic Methods Unlimited
    • Lecture 11 – Algebraic Form of Simplex Algorithm Unlimited
    • Lecture 12 – Tabular Form of Simplex (Maximization) Unlimited
    • Lecture 13 – Tabular Form of Simplex (Minimization) Unlimited
    • Lecture 14 – Unboundedness Unlimited
    • Lecture 15 – Infeasibility Unlimited
    • Lecture 16 – Motivation to the Dual Unlimited
    • Lecture 17 – Writing the Dual for a General LP Unlimited
    • Lecture 18 – Writing the Dual for a General LP (cont.) Unlimited
    • Lecture 19 – Duality Theorems Unlimited
    • Lecture 20 – Complementary Slackness Theorem Unlimited
    • Lecture 21 – Dual Solution using Complementary Slackness Unlimited
    • Lecture 22 – Dual Solution from Simplex Table; Economic Interpretation of Dual Unlimited
    • Lecture 23 – Economic Interpretation of the Dual; Dual Simplex Algorithm Unlimited
    • Lecture 24 – Solving LPs with Mixed Type of Constraints Unlimited
    • Lecture 25 – Matrix Method for LP Problems Unlimited
    • Lecture 26 – Introducing the Transportation Problem Unlimited
    • Lecture 27 – North West Corner Rule and Minimum Cost Method Unlimited
    • Lecture 28 – Penalty Cost Method Unlimited
    • Lecture 29 – Stepping Stone Method and Modified Distribution Method Unlimited
    • Lecture 30 – MODI Method; Dual of the Transportation Problem and the Optimality of … Unlimited
    • Lecture 31 – Introducing the Assignment Problem Unlimited
    • Lecture 32 – Solving the Assignment Problem Unlimited
    • Lecture 33 – Hungarian Algorithm; Alternate Optimum Unlimited
    • Lecture 34 – Unequal Number of Rows and Columns; Dual of the Assignment Problem Unlimited
    • Lecture 35 – Optimality of the Hungarian Algorithm Unlimited
    • Lecture 36 – Setting up the Problem and Solving Simple LP Problems Unlimited
    • Lecture 37 – Unboundedness and Infeasibility Unlimited
    • Lecture 38 – Solving Other Formulations Unlimited
    • Lecture 39 – Solving a Transportation Problem Unlimited
    • Lecture 40 – Solving an Assignment Problem Unlimited

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