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On-line algorithms for the K-server problem and its variants.

by Chi-ming Wat. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1995. / Includes bibliographical references (leaves 77-82). / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Performance analysis of on-line algorithms --- p.2 / Chapter 1.2 --- Randomized algorithms --- p.4 / Chapter 1.3 --- Types of adversaries --- p.5 / Chapter 1.4 --- Overview of the results --- p.6 / Chapter 2 --- The k-server problem --- p.8 / Chapter 2.1 --- Introduction --- p.8 / Chapter 2.2 --- Related Work --- p.9 / Chapter 2.3 --- The Evolution of Work Function Algorithm --- p.12 / Chapter 2.4 --- Definitions --- p.16 / Chapter 2.5 --- The Work Function Algorithm --- p.18 / Chapter 2.6 --- The Competitive Analysis --- p.20 / Chapter 3 --- The weighted k-server problem --- p.27 / Chapter 3.1 --- Introduction --- p.27 / Chapter 3.2 --- Related Work --- p.29 / Chapter 3.3 --- Fiat and Ricklin's Algorithm --- p.29 / Chapter 3.4 --- The Work Function Algorithm --- p.32 / Chapter 3.5 --- The Competitive Analysis --- p.35 / Chapter 4 --- The Influence of Lookahead --- p.41 / Chapter 4.1 --- Introduction --- p.41 / Chapter 4.2 --- Related Work --- p.42 / Chapter 4.3 --- The Role of l-lookahead --- p.43 / Chapter 4.4 --- The LRU Algorithm with l-lookahead --- p.45 / Chapter 4.5 --- The Competitive Analysis --- p.45 / Chapter 5 --- Space Complexity --- p.57 / Chapter 5.1 --- Introduction --- p.57 / Chapter 5.2 --- Related Work --- p.59 / Chapter 5.3 --- Preliminaries --- p.59 / Chapter 5.4 --- The TWO Algorithm --- p.60 / Chapter 5.5 --- Competitive Analysis --- p.61 / Chapter 5.6 --- Remarks --- p.69 / Chapter 6 --- Conclusions --- p.70 / Chapter 6.1 --- Summary of Our Results --- p.70 / Chapter 6.2 --- Recent Results --- p.71 / Chapter 6.2.1 --- The Adversary Models --- p.71 / Chapter 6.2.2 --- On-line Performance-Improvement Algorithms --- p.73 / Chapter A --- Proof of Lemma1 --- p.75 / Bibliography --- p.77

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_320607
Date January 1995
ContributorsWat, Chi-ming., Chinese University of Hong Kong Graduate School. Division of Computer Science.
PublisherChinese University of Hong Kong
Source SetsThe Chinese University of Hong Kong
LanguageEnglish
Detected LanguageEnglish
TypeText, bibliography
Formatprint, vii, 82 leaves : ill. ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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