ISE 222 • Tüm Sınavlar • Operations Research I
Yeditepe biz geldik! Endüstri Mühendisliğinin en çok talep edilen, en önemli dersi artık Unicourse'da! Bu dersimizde matematiksel modellemenin temek prensiplerini öğrenerek, önümüzdeki dönemlerde öğreneceğiniz Simülasyon ve Stokastik Modelleme gibi derslerin temellerini atacaksanız.
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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
Introduction to 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
Graphical Solution of a Linear Program
6 konu anlatımı
Solving LP with 2 variables
Example 1
Example 2
Example 3
Alternative Optimal Solutions
Example 4
The Simplex Algorithm
15 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)
Infeasible LP
Alternative Optimal Solutions
Unbounded LP
Degeneracy
Goal Programming
4 konu anlatımı
Introduction
Preemptive Goal Programming
Example 1
Example 2
Sensitivity Analysis: An Applied Approach
5 konu anlatımı
Constraint Slopes
Objective Function Slope
Range of Objective Function Coefficients
Shadow Price
Example
Big M and Two Phase Simplex Methods
7 konu anlatımı
Introducing Artifical Variables
Big M Method
Example 1
Example 2
Two Phase Method
Example 3
Example 4
Duality
7 konu anlatımı
What is duality?
Example 1
Example 2
Example 2
Complementary Slackness
Example 4
Example 5
Sensitivity Analysis
11 konu anlatımı
Algebraic Solution of LP
Example 0
Sensitivity Analysis Procedure
Changing Coefficients of a Non-Basic Variable
Example 1
Example 2
Changing Right-Hand-Side of a Constraint
Example 3
Changing Coefficients of a Basic Variable
Example 4
Example 5
Sample Exam Questions
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
Graphical Solution 4
Simplex Method 1
Simplex Method 2
Simplex Method 3
Simplex Method 4
Simplex Method 5
Goal Programming 1
Goal Programming 2
Goal Programming 3
Graphical Sensitivity 1
Graphical Sensitivity 2
Big M Method 1
Big Method 2
Big M Method 3
Big M Method 4
Two Phase Method 1
Two Phase Method 2
Two Phase Method 3
Two Phase Method 4
Duality 1
Duality 2
Duality 3
Duality 4
Duality 5
Duality 6
(NEW) Spring 24 Midterm 1 Exam
4 soru
Two Phase Method
Graphical Solution
Linear Programming
Goal Programming
Transportation Problem
13 konu anlatımı
Definition / LP Solution
Assumptions of the Problem
Least Cost Solution
Example 1
Northwest Corner Solution
Example 2
Vogel's Method
Example 3
Transportation Simplex Method
Example 4
Example 5
Example 6
Example 7
Transshipment Problem
2 konu anlatımı
Transshipment Problem Definition/LP Solution
Transshipment Problem Example
Assignment Problem
6 konu anlatımı
Definition / LP Solution
Assumptions of the Problem
Hungarian Method
Hungarian Method: A Problem!
Example 1
Example 2
Shortest Path Problem
7 konu anlatımı
What is a network?
Shortest Path Problems
Dijkstra's Algorithm
Example 1
Example 2
Example 3
Example 4
Maximum Flow & Minimum Spanning Tree Problems
5 konu anlatımı
Maximum Flow Problem
Minimum Spanning Tree Problem
Prim's Algorithm
Example 1
Example 2
Integer Programming
6 konu anlatımı
What is Integer Programming?
Fixed Cost Problems
Constraints with Binary Variables
Special Constraints
Assignment Problems
Set Covering Problems
Branch and Bound Algorithm
4 konu anlatımı
Introduction
Example 1
Example 2
An Important Question
Sample Exam Problems
23 soru
Transportation Problem 1
Transportation Problem 2
Transportation Problem 3
Transshipment Problem 1
Assignment Problem 1
Assignment Problem 2
Assignment Problem 3
Shortest Path Problem 1
Shortest Path Problem 2
Shortest Path Problem 3
Maximum Flow Problem 1
Minimum Spanning Tree Problem 1
Minimum Spanning Tree Problem 2
Integer Programming 1
Integer Programming 2
Integer Programming 3
Integer Programming 4
Integer Programming 5
Integer Programming 6
Integer Programming 7
Branch and Bound 1
Branch and Bound 2
Branch and Bound 3