IE-202 Introduction to Modeling and Optimization
Assoc. Prof. Dr. Emre Alper Yıldırım
2008-2009- Spring
A general overview of operations research, with selected applications from engineering and management systems, and interdisciplinary areas. The methodology of mathematical modeling and its relation to problems in industrial, commercial, and public systems. Introduction to linear programming: the simplex method, duality, sensitivity analysis, and related topics. Network models and project scheduling.
| Lecture 41 (2009-05-14) Economic Interpretation of the Dual Problem and Review | ||
| Lecture 40 (2009-05-11) Sensitivity Analysis - continued | ||
| Lecture 39 (2009-05-11) Sensitivity Analysis - continued | ||
| Lecture 38 (2009-05-07) Sensitivity Analysis - continued | ||
| Lecture 37 (2009-05-04) The Dual Simplex Method - continued, Introduction to Sensitivity Analysis | ||
| Lecture 36 (2009-05-04) Complementary Slackness Conditions - continued, the Dual Simplex Method | ||
| Lecture 35 (2009-04-30) Complementary Slackness Conditions | ||
| Lecture 34 (2009-04-27) Strong Duality Theorem | ||
| Lecture 33 (2009-04-27) Weak Duality Theorem | ||
| Lecture 32 (2009-04-20) The Duality Theory - continued | ||
| Lecture 31 (2009-04-20) Introduction to the Duality Theory | ||
| Lecture 30 (2009-04-16) The Two-Phase Method | ||
| Lecture 29 (2009-04-13) The Big-M Method - continued | ||
| Lecture 28 (2009-04-13) The Simplex Method in Matrix Notation - continued, the Big-M Method | ||
| Lecture 27 (2009-04-09) Bland's Rule, The Simplex Method in Matrix Notation | ||
| Lecture 26 (2009-04-06) The Simplex Method and Degeneracy | ||
| Lecture 25 (2009-04-06) The Simplex Method - continued | ||
| Lecture 24 (2009-04-02) The Simplex Method - continued | ||
| Lecture 23 (2009-03-30) The Simplex Method - continued | ||
| Lecture 22 (2009-03-30) Degeneracy and Introduction to the Simplex Method | ||
| Lecture 21 (2009-03-26) Systems of Equations, Basic Solutions, and Basic Feasible Solutions | ||
| Lecture 20 (2009-03-23) Conversion into Standard-Form Linear Programming Problems and Systems of Equations | ||
| Lecture 19 (2009-03-23) A Conceptual Algorithm and Standard-Form Linear Programming Problems | ||
| Lecture 18 (2009-03-19) Geometry of Linear Programming - continued | ||
| Lecture 17 (2009-03-16) Geometry of Linear Programming - continued | ||
| Lecture 16 (2009-03-16) Geometry of Linear Programming | ||
| Lecture 15 (2009-03-12) Graphical Solution of Two-Variable Linear Programming problems - continued | ||
| Lecture 14 (2009-03-09) Graphical Solution of Two-Variable Linear Programming problems - continued | ||
| Lecture 13 (2009-03-09) Integer Programming examples - continued, Graphical Solution of Two-Variable Linear Programming Problems | ||
| Lecture 12 (2009-03-05) Integer Programming examples - continued | ||
| Lecture 11 (2009-03-02) Integer Programming examples - continued | ||
| Lecture 10 (2009-03-02) Integer Programming examples - continued | ||
| Lecture 9 (2009-02-26) Integer Programming examples - continued | ||
| Lecture 8 (2009-02-23) Integer Programming examples - continued | ||
| Lecture 7 (2009-02-23) Integer Programming examples | ||
| Lecture 6 (2009-02-19) Linear Programming examples - continued | ||
| Lecture 5 (2009-02-16) Linear Programming examples - continued | ||
| Lecture 4 (2009-02-16) Linear Programming examples | ||
| Lecture 3 (2009-02-12) Linear Programming and Integer Programming Terminology and Definitions, Assumptions of Linear and Integer Programming | ||
| Lecture 2 (2009-02-09) Brief History of Operations Research, Modeling Process, Linear Programming Examples | ||
| Lecture 1 (2009-02-09) Basic definitions: Industrial Engineering, Operations Research, Optimization and Modeling |
