Approximation Algorithms for NP-Hard Problems by Dorit Hochbaum

Approximation Algorithms for NP-Hard Problems



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Approximation Algorithms for NP-Hard Problems Dorit Hochbaum ebook
ISBN: 0534949681, 9780534949686
Publisher: Course Technology
Page: 620
Format: djvu


Here is an example to give a feeling. In spite of their theoretical hardness, heuristic solvers are often able to solve large realistic problem instances surprisingly fast. As we know, NP-hard problems are nightmare for the computers. My answer is that is it ignores randomized and approximation algorithms. I also wanted to include just a little bit of my own opinion on why studying approximation algorithms is worthwhile. The problem is NP-hard and an approximation algorithm has been described in the reference. Both these problems are NP-hard, which motivates our interest in their approximation. Moreover, we prove that better approximation algorithms do not exist unless NP-complete problems admit efficient algorithms. Approximation algorithms for the knapsack problem 453. The field of "Sparse Approximation" deals with ways to perform atom decomposition, namely finding the atoms building the data vector. For these problems, approximation algorithms are good choices. Different approximation algorithms have their advantages and disadvantages. Approximation algorithms for the traveling salesman problem 443. This problem is known to be NP-hard even for alphabet of size 2. The traveling salesman problem (TSP) is an NP-complete problem. This problem addresses the issue of timing when deploying viral campaigns. Even if P is not equal to NP, there may be randomized algorithms (either Monte Carlo or Las Vegas) that can answer NP hard problems rapidly. Comparing Algorithms for the Traveling Salesman Problem. 12.3 approximation algorithms for np-hard problems 441.

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