IE 222 • Tüm Sınavlar • Operations Research I
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Eğitmen
Ömer Faruk Altun
Co-founder & Head of Education
2011 yılında Endüstri Mühendisliği okumak için başladığım Sabancı Üniversitesi'nden 2018 yılında Bilgisayar Mühendisi olarak mezun oldum. 13 yıldır Altun ismiyle başta Sabancı Üniversitesi olmak üzere çeşitli okullarda Endüstri ve Bilgisayar Mühendisliği alanlarında ders vermekteyim. Unicourse'ta sunduğum derslerin yanında eğitim departmanının da sorumluluğunu üstlenmekteyim.
Konular
Linear Programming
11 konu anlatımı
What is Linear Programming?
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Example 7
Example 8
Example 9
Example 10
Using Mathematical Notation
4 konu anlatımı
Are we doing something new?
Example 1
Example 2
Example 3
Graphical Method
6 konu anlatımı
Solving LP with 2 variables
Example 1
Example 2
Example 3
Alternative Optimal Solutions
Example 4
Simplex Algorithm
11 konu anlatımı
Standard Form of LP
Example 1
Basic Solutions - Basic Feasible Solutions
Example 2
What is Simplex Method?
Example 3
Example 4
Example 5
Example 6 (Minimization)
Example 7 (Minimization)
Example 8 (Reverse)
Special Cases of Simplex Algorithm
5 konu anlatımı
Infeasible LP
Alternative Optimal Solutions
Unbounded LP
Direction of Unboundedness
Degeneracy
Big M and Two Phase Methods
7 konu anlatımı
Introducing Artifical Variables
Big M Method
Example 1
Example 2
Two Phase Method
Example 3
Example 4
Matrix Form of Simplex
6 konu anlatımı
Magic of Linear Algebra
Matrices of LP
Forming a Table
Example 1
One Formula to Rule Them All
Example 2
🦄 🦄 Exam Practice: Sınav Provası I 🦄 🦄
8 soru
Modeling
Modeling
Graphical Solution
Simplex Method
Simplex Method
Big-M Simplex Method
Two-Phase Simplex Method
Matrix Form of Simplex
🦄 🦄 Exam Practice: Sınav Provası II 🦄 🦄
8 soru
Modeling
Modeling
Graphical Solution
Simplex Method
Simplex Method
Big-M Simplex Method
Two-Phase Simplex Method
Matrix Form of Simplex
🦄 🦄 Exam Practice: Sınav Provası III 🦄 🦄
8 soru
Modeling
Modeling
Graphical Solution
Simplex Method
Simplex Method
Big-M Simplex Method
Two-Phase Simplex Method
Matrix Form of Simplex
🦄 🦄 Exam Practice: Sınav Provası IV 🦄 🦄
8 soru
Modeling
Modeling
Graphical Solution
Simplex Method
Simplex Method
Simplex Method
Big-M Simplex Method
Two-Phase Simplex Method
🦄 🦄 Exam Practice: Sınav Provası V 🦄 🦄
8 soru
Modeling
Modeling
Graphical Solution
Simplex Method
Simplex Method
Big-M Simplex Method
Two-Phase Simplex Method
Matrix Form of Simplex
🦄 🦄 Exam Practice: Sınav Provası VI 🦄 🦄
8 soru
Modeling
Modeling
Graphical Solution
Simplex Method
Simplex Method
Big-M Simplex Method
Two-Phase Simplex Method
Matrix Form of Simplex
🦄 🦄 Exam Practice: Sınav Provası VII 🦄 🦄
8 soru
Modeling
Graphical Solution
Simplex Method
Simplex Method
Simplex Method
Big-M Simplex Method
Two-Phase Simplex Method
Matrix Form of Simplex
Duality and Optimality Conditions
12 konu anlatımı
Dual of an LP
Examples 1-2
Example 3
Weak Duality Theorem
Strong Duality Theorem
Shadow Price
Complementary Slackness
Example 4
Example 5
Matrix Formula - Dual Solution
Primal/Dual Feasibility and Optimality
Example 6
Dual Simplex Method
8 konu anlatımı
Idea Behind Dual Simplex
Comparing Primal/Dual Simplex
Example 1
Example 2
Combining with Primal Simplex
Example 3
Example 4
Example 5
Sensitivity Analysis
14 konu anlatımı
General Procedure
Optimal Basis v Optimal Solution
Changing Objective Function Coefficient of a NBV
Example
Changing Objective Function Coefficient of a BV
Example
Changing RHS of a Constraint
Example
Changing Column of a NBV
Example
Adding a New Variable
Example
Adding a New Constraint
Example
Transportation Problem
14 konu anlatımı
Definition / LP Solution
Assumptions of the Problem
Least Cost Method
Example 1
Example 2
Northwest Corner Method
Example 3
Example 4
Vogel's Method
Example 5
Transportation Simplex Method
Example 6
Example 7
Example 8
🦄🦄 Exam Practice: Sınav Provası I 🦄🦄
6 soru
Duality
Duality
Duality
Dual Simplex Method
Sensitivity Analysis
Sensitivity Analysis
🦄🦄 Exam Practice: Sınav Provası II 🦄🦄
6 soru
Duality
Duality
Dual Simplex Method
Sensitivity Analysis
Sensitivity Analysis
Transportation Problem
🦄🦄 Exam Practice: Sınav Provası III 🦄🦄
6 soru
Duality
Duality
Duality
Dual Simplex Method
Sensitivity Analysis
Sensitivity Analysis
🦄🦄 Exam Practice: Sınav Provası IV 🦄🦄
6 soru
Duality
Duality
Dual Simplex Method
Sensitivity Analysis
Sensitivity Analysis
Transportation Problem
🦄🦄 Exam Practice: Sınav Provası V 🦄🦄
6 soru
Duality
Duality
Dual Simplex Method
Sensitivity Analysis
Sensitivity Analysis
Transportation Problem
🦄🦄 Exam Practice: Sınav Provası VI 🦄🦄
6 soru
Duality
Simplex / Duality / Sensitivity
Dual Simplex Method
Dual Simplex Method
Sensitivity Analysis - Part 1
Sensitivity Analysis - Part 2