Approximation Algorithms For Np Hard Problems

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Approximation Algorithms For Np Hard Problems

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Author : Dorit S. Hochbaum
language : en
Publisher: Course Technology
Release Date : 1997

Approximation Algorithms For Np Hard Problems written by Dorit S. Hochbaum and has been published by Course Technology this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Computers categories.

This is the first book to fully address the study of approximation algorithms as a tool for coping with intractable problems. With chapters contributed by leading researchers in the field, this book introduces unifying techniques in the analysis of approximation algorithms. APPROXIMATION ALGORITHMS FOR NP-HARD PROBLEMS is intended for computer scientists and operations researchers interested in specific algorithm implementations, as well as design tools for algorithms. Among the techniques discussed: the use of linear programming, primal-dual techniques in worst-case analysis, semidefinite programming, computational geometry techniques, randomized algorithms, average-case analysis, probabilistically checkable proofs and inapproximability, and the Markov Chain Monte Carlo method. The text includes a variety of pedagogical features: definitions, exercises, open problems, glossary of problems, index, and notes on how best to use the book.

Super Polynomial Approximation Algorithms For Np Hard Problems

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Author : Hadas Taubman
language : en
Publisher:
Release Date : 2000

Super Polynomial Approximation Algorithms For Np Hard Problems written by Hadas Taubman and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with categories.

Approximation Algorithms For Np Hard Routing Problems

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Author : Greg Norman Frederickson
language : en
Publisher:
Release Date : 1977

Approximation Algorithms For Np Hard Routing Problems written by Greg Norman Frederickson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Algorithms categories.

Fast Algorithms For Np Hard Problems Which Are Optimal Or Near Optimal With Probability One

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Author : Routo Terada
language : en
Publisher:
Release Date : 1979

Fast Algorithms For Np Hard Problems Which Are Optimal Or Near Optimal With Probability One written by Routo Terada and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Algorithms categories.

Approximation Algorithms For Np Hard Routing Problems

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Author : Greg N. Frederickson
language : en
Publisher:
Release Date : 1979

Approximation Algorithms For Np Hard Routing Problems written by Greg N. Frederickson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with categories.

Approximation Algorithms For Certain Np Hard Problems

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Author : Alan Jay Wecker
language : en
Publisher:
Release Date : 1982

Approximation Algorithms For Certain Np Hard Problems written by Alan Jay Wecker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.

Approximation Algorithms

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Author : Vijay V. Vazirani
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-12-05

Approximation Algorithms written by Vijay V. Vazirani and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-05 with Computers categories.

Covering the basic techniques used in the latest research work, the author consolidates progress made so far, including some very recent and promising results, and conveys the beauty and excitement of work in the field. He gives clear, lucid explanations of key results and ideas, with intuitive proofs, and provides critical examples and numerous illustrations to help elucidate the algorithms. Many of the results presented have been simplified and new insights provided. Of interest to theoretical computer scientists, operations researchers, and discrete mathematicians.

Algorithmics For Hard Problems

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Author : Juraj Hromkovič
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Algorithmics For Hard Problems written by Juraj Hromkovič and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-14 with Computers categories.

Algorithmic design, especially for hard problems, is more essential for success in solving them than any standard improvement of current computer technologies. Because of this, the design of algorithms for solving hard problems is the core of current algorithmic research from the theoretical point of view as weIl as from the practical point of view. There are many general textbooks on algorithmics, and several specialized books devoted to particular approaches such as local search, randomization, approximation algorithms, or heuristics. But there is no textbook that focuses on the design of algorithms for hard computing tasks, and that systematically explains, combines, and compares the main possibilities for attacking hard algorithmic problems. As this topic is fundamental for computer science, this book tries to elose this gap. Another motivation, and probably the main reason for writing this book, is connected to education. The considered area has developed very dynamically in recent years and the research on this topic discovered several profound re sults, new concepts, and new methods. Some of the achieved contributions are so fundamental that one can speak about paradigms which should be ineluded in the education of every computer science student. Unfortunately, this is very far from reality. This is because these paradigms are not sufficiently known in the computer science community, and so they are insufficiently communicated to students and practitioners.

Approximation Algorithms For Combinatorial Optimization

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Author :
language : en
Publisher:
Release Date : 2004

Approximation Algorithms For Combinatorial Optimization written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Approximation theory categories.

Approximation Algorithms For Np Hard Clustering Problems

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Author : Ramgopal Reddy Mettu
language : en
Publisher:
Release Date : 2002

Approximation Algorithms For Np Hard Clustering Problems written by Ramgopal Reddy Mettu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Algorithms categories.

Given a set of n points and their pairwise distances, the goal of clustering is to partition the points into a "small" number of "related" sets. Clustering algorithms are used widely to manage, classify, and summarize many kinds of data. In this dissertation, we study the classic facility location and k-median problems in the context of clustering, and formulate and study a new optimization problem that we call the online median problem. For each of these problems, it is known to be NP-hard to compute a solution with cost less than a certain constant factor times the optimal cost. We give simple constant-factor approximation algorithms for the facility location, k-median, and online median problems with optimal or near-optimal time bounds. We also study distance functions that are "approximately" metric, and show that such distance functions allow us to obtain a faster online median algorithm and to generalize our analysis to other objective functions, such as that of the well-known k-means heuristic. Given n points, the associated interpoint distances and nonnegative point weights, and a nonnegative penalty for each point, the facility location problem asks us to identify a set of cluster centers so that the weighted average cluster radii and the sum of the cluster center penalties are both minimized. The k-median problem asks us to identify exactly k cluster centers while minimizing just the weighted average cluster radii. We give a simple greedy algorithm for the facility location problem that runs in O(n^2) time and produces a solution with cost at most 3 times optimal. For the k-median problem, we develop and make use of a sampling technique that we call "successive sampling," and give a randomized constant-factor approximation algorithm that runs in O(n(k+\log{n}+\log^2{n})) time. We also give an Omega(nk) lower bound on the running time of any randomized constant-factor approximation algorithm for the k-median problem that succeeds with even a negligible constant probability. In many settings, it is desirable to browse a given data set at differing levels of granularity (i.e., number of clusters). To address this concern, we formulate a generalization of the k-median problem that we call the online median problem. The online median problem asks us to compute an ordering of the points so that, over all i, when a prefix of length i is taken as a set of cluster centers, the weighted average radii of the induced clusters is minimized. We show that a natural generalization of the greedy strategy that we call "hierarchically greedy" yields an algorithm that produces an ordering such that every prefix of the ordering is within a constant factor of the associated optimal cost. Furthermore, our algorithm has a running time of Theta(n^2). Finally, we study the performance of our algorithms in practice. We present implementations of our k-median and online median algorithms; our experimental results indicate that our approximation algorithms may be useful in practice.