IE 232 • Tüm Sınavlar • Mathematical Modeling and Optimization
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Ömer Faruk Altun
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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 Modeling
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 Solution
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)
Simplex Algorithm: Special Cases
7 konu anlatımı
Infeasible LP
Alternative Optimal Solutions
Unbounded LP
Direction of Unboundedness
Degeneracy
Alternative Optimal Solutions Example 1
Alternative Optimal Solutions Example 2
Big M Method
4 konu anlatımı
Introducing Artifical Variables
Big M Method
Example 1
Example 2
🦄🦄 Exam Practice: Sınav Provası I 🦄🦄
6 soru
Modeling
Modeling
Graphical Solution
Simplex Method
Simplex Method
Big-M Simplex Method
🦄🦄 Exam Practice: Sınav Provası II 🦄🦄
6 soru
Modeling
Modeling
Graphical Solution
Simplex Method
Simplex Method
Big-M Simplex Method
🦄🦄 Exam Practice: Sınav Provası III 🦄🦄
6 soru
Modeling
Modeling
Graphical Solution
Simplex Method
Simplex Method
Big-M Simplex Method
🦄🦄 Exam Practice: Sınav Provası IV 🦄🦄
6 soru
Modeling
Modeling
Graphical Solution
Simplex Method
Simplex Method
Big-M Simplex Method
🦄🦄 Exam Practice: Sınav Provası V 🦄🦄
6 soru
Modeling
Modeling
Graphical Solution
Simplex Method
Simplex Method
Big-M Simplex Method
🦄🦄 Exam Practice: Sınav Provası VI 🦄🦄
6 soru
Modeling
Modeling
Graphical Solution
Simplex Method
Simplex Method
Big-M Simplex Method
Graphical Sensitivity Analysis
5 konu anlatımı
Constraint Slopes
Objective Function Slope
Range of Objective Function Coefficients
Shadow Price
Example
Representation of LP with Linear Algebra
9 konu anlatımı
Magic of Linear Algebra
Matrices of LP
Forming a Table
Example 1
One Formula to Rule Them All
Example 2
Dual Solution
Primal/Dual Feasibility and Optimality
Example 3
Duality
9 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
Dual Simplex Method
4 konu anlatımı
Idea Behind Dual Simplex
Comparing Primal/Dual Simplex
Example 1
Example 2
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
🦄🦄 Exam Practice: Sınav Provası I 🦄🦄
6 soru
Graphical Sensitivity Analysis
Representation of LP with Linear Algebra
Duality
Duality
Dual Simplex Method
Sensitivity Analysis
🦄🦄 Exam Practice: Midterm II Provası II 🦄🦄
6 soru
Graphical Sensitivity Analysis
Representation of LP with Linear Algebra
Duality
Duality
Dual Simplex Method
Simplex / Duality / Sensitivity
🦄🦄 Exam Practice: Midterm II Provası III 🦄🦄
6 soru
Graphical Sensitivity Analysis
Representation of LP with Linear Algebra
Duality
Duality
Dual Simplex Method
Sensitivity Analysis
🦄🦄 Exam Practice: Midterm II Provası IV 🦄🦄
6 soru
Graphical Sensitivity Analysis
Representation of LP with Linear Algebra
Duality
Duality
Dual Simplex Method
Sensitivity Analysis
🦄🦄 Exam Practice: Midterm II Provası V 🦄🦄
6 soru
Graphical Sensitivity Analysis
Representation of LP with Linear Algebra
Duality
Duality
Dual Simplex Method
Sensitivity Analysis
Modeling with Integer Variables
3 konu anlatımı
What is Integer Programming?
Constraints with Binary Variables
Special Constraints
Transportation and Transshipment Problems
15 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
Transshipment Problem Definition/LP Solution
Example 8
Assignment Problem
6 konu anlatımı
Definition / LP Solution
Assumptions of the Problem
Hungarian Method
Hungarian Method: Trouble in Paradise
Example 1
Example 2
🦄🦄 Exam Practice: Sınav Provası I 🦄🦄
6 soru
Graphical Solution Method
Simplex Method
Duality
Sensitivity Analysis
Transportation Problem
Assignment Problem
🦄🦄 Exam Practice: Sınav Provası II 🦄🦄
6 soru
Modeling
Simplex Method
Big-M Simplex Method
Sensitivity Analysis
Transportation Problem
Assignment Problem
🦄🦄 Exam Practice: Sınav Provası III 🦄🦄
6 soru
Simplex Method
Duality
Sensitivity Analysis
Transportation Problem
Assignment Problem
Assignment Problem
🦄🦄 Exam Practice: Sınav Provası IV 🦄🦄
6 soru
Modeling
Duality
Graphical Sensitivity Analysis
Sensitivity Analysis
Transportation Problem
Assignment Problem
🦄🦄 Exam Practice: Sınav Provası V 🦄🦄
6 soru
Modeling
Simplex Method
Representation of LP with Linear Algebra
Sensitivity Analysis
Sensitivity Analysis
Assignment Problem
🦄🦄 Exam Practice: Sınav Provası VI 🦄🦄
6 soru
Big-M Simplex Method
Duality
Sensitivity Analysis - Part 1
Sensitivity Analysis - Part 2
Transportation Problem
Assignment Problem