Solution Concept in Linear Programs | Lecture 1 | Basic feasible solutions: algebraic interpretation of extreme point
Note: you must have adobe reader to read the same. | 122 kb |

Solution Concept in Linear Programs | Lecture 2 | Relationship between extreme points and corresponding BFS | 152 kb |

Solution Concept in Linear Programs | Lecture 3 | Adjacent extreme points and corresponding BFS along with examples | 158 kb |

Solution Concept in Linear Programs | Lecture 4 | Fundamental theorem of LPP and its illustration through examples | 125 kb |

The Simplex Algorithm | Lecture 1 | LPP in canonical form to get the initial BFS & method of improving current BFS | 135 kb |

The Simplex Algorithm | Lecture 2 | Case of unbounded LPP, Simplex algorithm and illustration through examples | 167 kb |

The Simplex Algorithm | Lecture 3 | Artificial variables and its interpretation in context of feasibility | 159 kb |

The Two Phase Method | Lecture 1 | Two phase method and illustration (you must have adobe reader to read the same) | 137 kb |

The Two Phase Method | Lecture 2 | Degeneracy and its consequences including cases of cycling | 142 kb |

Linear Programming Duality | Lecture 1 | Introduction to duality & formulation of dual LPP for different models through examples | 139 kb |

Linear Programming Duality | Lecture 2 | Duality theorems and their interpretations | 147 kb |

Linear Programming Duality | Lecture 3 | Complementary slackness theorem, Farkas Lemma, Examples | 132 kb |

Linear Programming Duality | Lecture 4 | Economic interpretation & applications of duality | 140 kb |

Linear Programming Duality | Lecture 5 | Dual simplex method and its illustration | 151 kb |

Integer Programming | Lecture 2 | Gomory cut algorithm and derivation of cut equation
(Note: you must have adobe reader to read the same) | 146 kb |

Integer Programming | Lecture 3 | Examples | 253 kb |

Integer Programming | Lecture 4 | Branch and Bound algorithm | 181 kb |