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Problem set 4 | Network Optimization

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Project Content

5 Sections 46 Items

Information

3 Items

Syllabus
Calendar
Projects

Lecture Notes

20 Items

Introduction to network models
Computational complexity and data structures
Graph search algorithms
Transformations and flow decomposition
Shortest paths: label setting algorithms
The radix heap algorithm
Shortest paths: label correcting algorithms
Algorithm analysis
Basic algorithms for the maximum flow problem
Combinatorial applications of maximum flows
Preflow push algorithms
More on preflow push algorithms
Minimum cost flow: basic algorithms
Minimum cost flow: polynomial time algorithms
Applications of network flows; Linear programming review
The network simplex algorithm
Lagrangian relaxation 1
Lagrangian relaxation 2
Multicommodity flows 1
Multicommodity flows 2

Assignments

5 Items

Problem set 1
Problem set 2
Problem set 3
Problem set 4
Problem set 5

Exams

2 Items

Midterm 2 review problems
Midterm 2 practice problems

Animations

16 Items

Breadth first search
Depth first search
Topological ordering
Eulerian cycles in directed graphs
Flow decomposition
Dijkstra's algorithm
Dial's algorithm
2-level bucket algorithm
Radix heap animation
Label correcting algorithm
Modified label correcting algorithm
Ford-Fulkerson algorithm
Preflow push algorithm
Negative cycle (cycle canceling) algorithm
Successive shortest path (SSP) algorithm
Network simplex animations

Created by

Open Courseware

USA

Information

3 Items

Syllabus
Calendar
Projects

Lecture Notes

20 Items

Introduction to network models
Computational complexity and data structures
Graph search algorithms
Transformations and flow decomposition
Shortest paths: label setting algorithms
The radix heap algorithm
Shortest paths: label correcting algorithms
Algorithm analysis
Basic algorithms for the maximum flow problem
Combinatorial applications of maximum flows
Preflow push algorithms
More on preflow push algorithms
Minimum cost flow: basic algorithms
Minimum cost flow: polynomial time algorithms
Applications of network flows; Linear programming review
The network simplex algorithm
Lagrangian relaxation 1
Lagrangian relaxation 2
Multicommodity flows 1
Multicommodity flows 2

Assignments

5 Items

Problem set 1
Problem set 2
Problem set 3
Problem set 4
Problem set 5

Exams

2 Items

Midterm 2 review problems
Midterm 2 practice problems

Animations

16 Items

Breadth first search
Depth first search
Topological ordering
Eulerian cycles in directed graphs
Flow decomposition
Dijkstra's algorithm
Dial's algorithm
2-level bucket algorithm
Radix heap animation
Label correcting algorithm
Modified label correcting algorithm
Ford-Fulkerson algorithm
Preflow push algorithm
Negative cycle (cycle canceling) algorithm
Successive shortest path (SSP) algorithm
Network simplex animations

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