課程信息
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中級

中級

完成時間(小時)

完成時間大約為12 小時

建議:9 hours/week...
可選語言

英語(English)

字幕:英語(English)
100% 在線

100% 在線

立即開始,按照自己的計劃學習。
可靈活調整截止日期

可靈活調整截止日期

根據您的日程表重置截止日期。
中級

中級

完成時間(小時)

完成時間大約為12 小時

建議:9 hours/week...
可選語言

英語(English)

字幕:英語(English)

教學大綱 - 您將從這門課程中學到什麼

1
完成時間(小時)
完成時間為 1 小時

Introduction to Approximation algorithms

In the module the motivation for studying approximation algorithms will be given. We will discuss what optimization problems are, and what the difference between heuristics and approximation algorithms is. Finally, we will introduce the concept of approximation ratio, which plays a central role in the analysis of the quality of approximation algorithms....
Reading
1 個視頻 (總計 13 分鐘), 1 個閱讀材料, 1 個測驗
Reading1 個閱讀材料
Course notes 1.130分鐘
Quiz1 個練習
Introduction20分鐘
2
完成時間(小時)
完成時間為 5 小時

The Load Balancing problem

In this module we will study various approximation algorithms for the load balancing problem. This problems asks to distribute a given set of jobs, each with a certain processing time, over a number of machine. The goal is to do this such that all jobs are finished as soon as possible. We will analyze the quality of the computed solutions computed using the concept of rho-approximation, which we saw in the previous lecture. In this analysis we will see that lower bounds on the optimal solution play a crucial role in the analysis (or, for maximization problems: upper bounds)....
Reading
3 個視頻 (總計 45 分鐘), 1 個閱讀材料, 2 個測驗
Video3 個視頻
Analysis of the greedy-algorithm19分鐘
The ordered scheduling algorithm14分鐘
Reading1 個閱讀材料
Course notes 1.245分鐘
Quiz1 個練習
The load balancing problem25分鐘
3
完成時間(小時)
完成時間為 3 小時

LP Relaxation

In this module we will introduce the technique of LP relaxation to design approximation algorithms, and explain how to analyze the approximation ratio of an algorithm based in LP relaxation. We will do this using the (weighted) Vertex Cover problem as an example. Before we explain the technique of LP relaxation, however, we first give a simple 2-approximation algorithm for the unweighted Vertex Cover problem. ...
Reading
6 個視頻 (總計 69 分鐘), 2 個閱讀材料, 1 個測驗
Video6 個視頻
An approximation algorithm for vertex-cover11分鐘
A brief introduction to linear programming12分鐘
Weighted vertex-cover15分鐘
LP relaxation for weighted vertex-cover7分鐘
LP relaxation: Analyzing approximation ratio12分鐘
Reading2 個閱讀材料
Course notes 3.120分鐘
Course notes 3.245分鐘
Quiz1 個練習
LP Relaxation30分鐘
4
完成時間(小時)
完成時間為 6 小時

Polynomial-time approximation schemes

In this module we will introduce the concept of Polynomial-Time Approximation Scheme (PTAS), which are algorithms that can get arbitrarily close to an optimal solution. We describe a general technique to design PTASs, and apply it to the famous Knapsack problem. Finally we will see how to analyze PTASs that are designed with the general technique....
Reading
6 個視頻 (總計 62 分鐘), 2 個閱讀材料, 2 個測驗
Video6 個視頻
Knapsack Problem6分鐘
A dynamic-programming algorithm for knapsack16分鐘
A PTAS for knapsack12分鐘
Analysis of the PTAS for knapsack: approximation ratio11分鐘
Analysis of the PTAS for knapsack: running time8分鐘
Reading2 個閱讀材料
Course notes 4.145分鐘
Course notes 4.245分鐘
Quiz1 個練習
Polynomial-time approximation schemes45分鐘

講師

Avatar

Mark de Berg

Prof.dr.
Mathematics and Computer Science

關於 EIT 数字

EIT Digital is a pan-European education and research-based open innovation organization founded on excellence. Its mission is to foster digital technology innovation and entrepreneurial talent for economic growth and quality of life. By linking education, research and business, EIT Digital empowers digital top talents for the future. EIT Digital provides online "blended" Innovation and Entrepreneurship education to raise quality, increase diversity and availability of the top-level content provided by 20 reputable universities of technology around Europe. The universities all together deliver a unique blend of the best of technical excellence and entrepreneurial skills and mindset to digital engineers and entrepreneurs at all stages of their careers. The academic partners support Coursera’s bold vision to enable anyone, anywhere, to transform their lives by accessing the world’s best learning experience. This means that EIT Digital gradually shares parts of its entrepreneurial and academic education programmes to demonstrate its excellence and make it accessible to a much wider audience. EIT Digital’s online education portfolio can be used as part of blended education settings, in both Master and Doctorate programmes, and for professionals as a way to update their knowledge. EIT Digital offers an online programme in 'Internet of Things through Embedded Systems'. Achieving all certificates of the online courses and the specialization provides an opportunity to enroll in the on campus program and get a double degree. These are the courses in the online programme: ...

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