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Approximation Algorithms for NP-Hard Problems by Dorit Hochbaum

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

Many combinatorial optimization problems can be expressed as the minimization or maximization of a submodular function, including min- and max-cut, coverage problems, and welfare maximization in algorithmic game theory. They showed that this problem is NP-hard even to approximate, and presented several heuristic algorithms. Unsurprisingly, submodular maximization tends to be NP-hard for most natural choices of constraints, so we look for approximation algorithms. These results He helped create new approximation algorithms for fundamental optimization problems such as the Sparsest Cuts problem and the Euclidean Travelling Salesman problem, and contributed to the development of semi-definite programming as a practical algorithmic tool. Rosea: This is the first book to fully address the study of approximation algorithms as a tool for coping with intractable problems. Instead of trying to solve this problem exactly, we will reason about whether constant factor approximation algorithms exist, i.e. Presented at Computer Science Department, Sharif University of Technology (Optimization Seminar ). Arora's research revolutionized the approach to essentially unsolvable problems that have long bedeviled the computing field, the so-called NP-complete problems. Product Description This is the first book to fully address the study of approximation algorithms as a tool for coping with intractable problems. In this problem, multiple missions compete for sensor resources. This is one of Karp's original NP-complete problems.