INDR 262 • Tüm Sınavlar • Introduction to Optimization Methods
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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
11 konu anlatımı
What is Linear Programming?
Example 1
Example 2
Example 3
Example 4
Example 5
Example 6
Closed Form of LP
Example 7
Example 8
Example 9
Solving LP Using Graphical Method
5 konu anlatımı
Solving LP with 2 variables
Example 1
Example 2
Alternative Optimal Solutions
Example 3
Simplex Method
11 konu anlatımı
Augmented Form of LP (Standard Form)
Example 1
Basic Solutions - Basic Feasible Solutions
Example 2
What is Simplex Method?
Example 3
Example 4
Example 5
Example 5 (Minimization)
Example 6 (Minimization)
Example 7 (Reverse)
Special Cases of Simplex Method
4 konu anlatımı
Infeasible LP
Alternative Optimal Solutions
Unbounded LP
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
Graphical Sensitivity Analysis
5 konu anlatımı
Constraint Slopes
Objective Function Slope
Range of Objective Function Coefficients
Shadow Price
Example
Algebraic Sensitivity Analysis
5 konu anlatımı
Overview
Changes in the objective function
Example 1
Changes in the RHS
Example 2
Goal Programming
5 konu anlatımı
Introduction
Preemptive Goal Programming
Solving GP Problems
Example 1
Example 2
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
Sample Midterm Problems
35 soru
Linear Programming 1
Linear Programming 2
Linear Programming 3
Linear Programming 4
Linear Programming 5
Linear Programming 6
Linear Programming 7
Graphical Solution 1
Graphical Solution 2
Graphical Solution 3
Simplex Method and Special Cases 1
Simplex Method and Special Cases 2
Simplex Method and Special Cases 3
Simplex Method and Special Cases 4
Simplex Method and Special Cases 5
Simplex Method and Special Cases 6
Simplex Method and Special Cases 7
Big M Method 1
Big M Method 2
Big M Method 3
Two Phase Method 1
Two Phase Method 2
Two Phase Method 3
Graphical Sensitivity Analysis 1
Graphical Sensitivity Analysis 2
Graphical Sensitivity Analysis 3
Graphical Sensitivity Analysis 4
Algebraic Sensitivity Analysis 1
Algebraic Sensitivity Analysis 2
Goal Programming 1
Goal Programming 2
Goal Programming 3
Matrix Form 1
Matrix Form 2
Matrix Form 3
Soruları bitirdim, ekstra yok mu?
12 soru
Linear Programming 1
Linear Programming 2
Graphical Solution 1
Simplex Method and Special Cases 1
Simplex Method and Special Cases 2
Big M Method
Two Phase Method
Graphical Sensitivity Analysis 1
Graphical Sensitivity Analysis 2
Algebraic Sensitivity Analysis
Goal Programming
Matrix Form
Duality (NEW)
6 konu anlatımı
Dual of an LP
Examples 1-2
Example 3
Weak Duality Theorem
Strong Duality Theorem
Shadow Price
Simplex Tableau Layout (NEW)
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
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
Post-Optimality Analysis
12 konu anlatımı
General Procedure
Optimal Basis v Optimal Solution
Changes in Objective Function - NBV
Example
Changes in Objective Function - BV
Example
Changes in the RHS
Example
Adding a New Variable
Example
Adding a New Constraint
Example
Sample Exam Problems - Part I (NEW)
19 soru
Duality 1
Duality 2
Duality 3
Duality 4
Duality 5
Duality 6
Simplex Tableau Layout 1
Simplex Tableau Layout 2
Simplex Tableau Layout 3
Dual Simplex Method 1
Dual Simplex Method 2
Dual Simplex Method 3
Dual Simplex Method 4
Dual Simplex Method 5
Post-Optimality Analysis 1
Post-Optimality Analysis 2
Post-Optimality Analysis 3
Post-Optimality Analysis 4
Post-Optimality Analysis 5
Introduction to Modeling with Integer Variables
13 konu anlatımı
What is Integer Programming?
Fixed Cost Problems
Example 1
Constraints with Binary Variables
Special Constraints
Assignment Problems
Example 2
Set Covering Problems
Example 3
Example 4
Example 5
Example 6
Example 7
Special Cases of LP: Transportation Problem
10 konu anlatımı
Definition / LP Solution
Assumptions of the Problem
Least Cost Solution
Example 1
Northwest Corner Solution
Example 2
Transportation Simplex Method
Example 3
Example 4
Example 5
Special Cases of LP: Assignment Problem
6 konu anlatımı
Definition / LP Solution
Assumptions of the Problem
Hungarian Method
Hungarian Method: Trouble in Paradise
Example 1
Example 2