Mathematics - Optimization (English)

   Tuesday, April 22, 2025   

Starting a new Lecture Notes Series on Mathematics - Optimization

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Mathematics - Optimization By Lecture Notes together!

Lecture 1: Mod-01 Lec-01 Optimization - Introduction

Lecture 2: Mod-01 Lec-02 Formulation of LPP

Lecture 3: Mod-01 Lec-03 Geometry of LPP and Graphical Solution of LPP

Lecture 4: Mod-01 Lec-04 Solution of LPP : Simplex Method

Lecture 5: Mod-01 Lec-05 Big - M Method

Lecture 6: Mod-01 Lec-06 Two - Phase Method

Lecture 7: Mod-01 Lec-07 Special Cases in Simple Applications

Lecture 8: Mod-01 Lec-08 Introduction to Duality Theory

Lecture 9: Mod-01 Lec-09 Dual Simplex Method

Lecture 10: Mod-01 Lec-10 Post Optimaility Analysis

Lecture 11: Mod-01 Lec-11 Integer Programming - I

Lecture 12: Mod-01 Lec-12 Integer Programming - II

Lecture 13: Mod-01 Lec-13 Introduction to Transportation Problems

Lecture 14: Mod-01 Lec-14 Solving Various types of Transportation Problems

Lecture 15: Mod-01 Lec-15 Assignment Problems

Lecture 16: Mod-01 Lec-16 Project Management

Lecture 17: Mod-01 Lec-17 Critical Path Analysis

Lecture 18: Mod-01 Lec-18 PERT

Lecture 19: Mod-01 Lec-19 Shortest Path Algorithm

Lecture 20: Mod-01 Lec-20 Travelling Salesman Problem

Lecture 21: Mod-01 Lec-21 Classical optimization techniques : Single variable optimization

Lecture 22: Mod-01 Lec-22 Unconstarined multivariable optimization

Lecture 23: Mod-01 Lec-23 Nonlinear programming with equality constraint

Lecture 24: Mod-01 Lec-24 Nonlinear programming KKT conditions

Lecture 25: Mod-01 Lec-25 Numerical optimization : Region elimination techniques

Lecture 26: Mod-01 Lec-26 Numerical optimization : Region elimination techniques (Contd.)

Lecture 27: Mod-01 Lec-27 Fibonacci Method

Lecture 28: Mod-01 Lec-28 Golden Section Methods

Lecture 29: Mod-01 Lec-29 Interpolation Methods

Lecture 30: Mod-01 Lec-30 Unconstarined optimization techniques : Direct search method

Lecture 31: Mod-01 Lec-31 Unconstarined optimization techniques : Indirect search method

Lecture 32: Mod-01 Lec-32 Nonlinear programming : constrained optimization techniques

Lecture 33: Mod-01 Lec-33 Interior and Exterior penulty Function Method

Lecture 34: Mod-01 Lec-34 Separable Programming Problem

Lecture 35: Mod-01 Lec-40 Multi attribute decision making

Lecture 36: Mod-01 Lec-35 Introduction to Geometric Programming

Lecture 37: Mod-01 Lec-36 Constrained Geometric Programming Problem

Lecture 38: Mod-01 Lec-37 Dynamic Programming Problem

Lecture 39: Mod-01 Lec-38 Dynamic Programming Problem (Contd.)

Lecture 40: Mod-01 Lec-39 Multi Objective Decision Making