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1999 TL
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Mathematical Modeling and Exact Methods
Kutay Selçuk
1999 TL

Mathematical Modeling and Exact Methods
Kutay Selçuk
1999 TL
Optimization Overview
Convex Sets
Example 1
Convex Functions
Example 2
Example 3
Example 4
Duality
Example 5
Example 6
IP Problems and Solutions
Complexity Analysis
NP Complete - NP Hard
Example 1
Heuristics Methods
Analyzing Complexity
Example 2
Example 3
Big-O Notation
Example 4
Pseudo Polynomial Time
Example 5
Sample Midterm Problems I
Optimization Overview 1
Optimization Overview 2
Optimization Overview 3
Complexity Analysis 1
Complexity Analysis 2
Complexity Analysis 3
Complexity Analysis 4
Complexity Analysis 5
Complexity Analysis 6
Knapsack Problems and Heuristic Methods - Part I
Introduction
Mathematical Modelling
Example 1
Mathematical Modelling
Example 2
Example 3
Example 4
Knapsack Problems and Heuristic Methods - Part II
Bottom-Up Algorithm
Example 1
Example 2
Bottom-Up Algorithm’s Pseudocode
Example 3
Top-Down Algorithm
Example 4
Example 5
Top-Down Algorithm’s Pseudocode
Sample Midterm Problems II
Knapsack Problems and Heuristic Methods 1
Knapsack Problems and Heuristic Methods 2
Knapsack Problems and Heuristic Methods 3
Knapsack Problems and Heuristic Methods 4
Knapsack Problems and Heuristic Methods 5
Knapsack Problems and Heuristic Methods 6
Knapsack Problems and Heuristic Methods 7
Knapsack Problems and Heuristic Methods 8
Knapsack Problems and Heuristic Methods 9
Knapsack Problems and Heuristic Methods 10
Branch and Bound Method (YENİ)
Branch
Bound
Example 1
Example 2
Example 3
Exam Like Question 1
Exam Like Question 2
Exam Like Question 3
Exam Like Question 4 (IE 342 Çıkmış)
Exam Like Question 5 (IE 342 Çıkmış)
Integer Programming (YENİ)
What is Integer Programming?
Constraints with Binary Variables
Special Constraints
Non-Linear Objectives
Piecewise Linear Example
Absolute Value Example
Max-Min Example
If-then --> Either-or
Example 1
Example 2
Exam Like Question 1
Exam Like Question 2
Exam Like Question 3 (IE 342 Çıkmış)
Exam Like Question 4 (IE 342 Çıkmış)
Exam Like Question 5
Exam Like Question 6
1999 TL