Combinatorial Optimization

Handbook of Randomized Computing

Volume I/II

Editors: Rajasekaran, S., Pardalos, P.M., Reif, J.H., Rolim, J. (Eds.)

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About this book

The technique of randomization has been employed to solve numerous prob­ lems of computing both sequentially and in parallel. Examples of randomized algorithms that are asymptotically better than their deterministic counterparts in solving various fundamental problems abound. Randomized algorithms have the advantages of simplicity and better performance both in theory and often is a collection of articles written by renowned experts in practice. This book in the area of randomized parallel computing. A brief introduction to randomized algorithms In the analysis of algorithms, at least three different measures of performance can be used: the best case, the worst case, and the average case. Often, the average case run time of an algorithm is much smaller than the worst case. 2 For instance, the worst case run time of Hoare's quicksort is O(n ), whereas its average case run time is only O(nlogn). The average case analysis is conducted with an assumption on the input space. The assumption made to arrive at the O(n logn) average run time for quicksort is that each input permutation is equally likely. Clearly, any average case analysis is only as good as how valid the assumption made on the input space is. Randomized algorithms achieve superior performances without making any assumptions on the inputs by making coin flips within the algorithm. Any analysis done of randomized algorithms will be valid for all possible inputs.

Buy this book

Hardcover $99.00
price for USA
  • ISBN 978-0-7923-6959-2
  • Free shipping for individuals worldwide
  • This title is currently reprinting. You can pre-order your copy now.
Softcover $99.00
price for USA
  • ISBN 978-1-4613-4886-3
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Handbook of Randomized Computing
Book Subtitle
Volume I/II
Editors
  • Sanguthevar Rajasekaran
  • Panos M. Pardalos
  • J.H. Reif
  • José Rolim
Series Title
Combinatorial Optimization
Series Volume
9
Copyright
2001
Publisher
Springer US
Copyright Holder
Springer Science+Business Media Dordrecht
Hardcover ISBN
978-0-7923-6959-2
Softcover ISBN
978-1-4613-4886-3
Series ISSN
1388-3011
Edition Number
1
Number of Pages
XXVII, 969
Topics