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Solving finite domain constraint hierarchies by local consistency and tree search.

by Hui Kau Cheung Henry. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2002. / Includes bibliographical references (leaves 107-112). / Abstracts in English and Chinese. / Abstract --- p.ii / Acknowledgments --- p.iii / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Motivation --- p.1 / Chapter 1.2 --- Organizations of the Thesis --- p.2 / Chapter 2 --- Background --- p.4 / Chapter 2.1 --- Constraint Satisfaction Problems --- p.4 / Chapter 2.1.1 --- Local Consistency Algorithm --- p.5 / Chapter 2.1.2 --- Backtracking Solver --- p.8 / Chapter 2.1.3 --- The Branch-and-Bound Algorithm --- p.10 / Chapter 2.2 --- Over-constrained Problems --- p.14 / Chapter 2.2.1 --- Weighted Constraint Satisfaction Problems --- p.15 / Chapter 2.2.2 --- Possibilistic Constraint Satisfaction Problems --- p.15 / Chapter 2.2.3 --- Fuzzy Constraint Satisfaction Problems --- p.16 / Chapter 2.2.4 --- Partial Constraint Satisfaction Problems --- p.17 / Chapter 2.2.5 --- Semiring-Based Constraint Satisfaction Problems --- p.18 / Chapter 2.2.6 --- Valued Constraint Satisfaction Problems --- p.22 / Chapter 2.3 --- The Theory of Constraint Hierarchies --- p.23 / Chapter 2.4 --- Related Work --- p.26 / Chapter 2.4.1 --- An Incremental Hierarchical Constraint Solver --- p.28 / Chapter 2.4.2 --- Transforming Constraint Hierarchies into Ordinary Con- straint System --- p.29 / Chapter 2.4.3 --- The SCSP Framework --- p.30 / Chapter 2.4.4 --- The DeltaStar Algorithm --- p.32 / Chapter 2.4.5 --- A Plug-In Architecture of Constraint Hierarchy Solvers --- p.34 / Chapter 3 --- Local Consistency in Constraint Hierarchies --- p.36 / Chapter 3.1 --- A Reformulation of Constraint Hierarchies --- p.37 / Chapter 3.1.1 --- Error Indicators --- p.37 / Chapter 3.1.2 --- A Reformulation of Comparators --- p.38 / Chapter 3.1.3 --- A Reformulation of Solution Set --- p.40 / Chapter 3.2 --- Local Consistency in Classical CSPs --- p.41 / Chapter 3.3 --- Local Consistency in SCSPs --- p.42 / Chapter 3.4 --- Local Consistency in CHs --- p.46 / Chapter 3.4.1 --- The Operations of Error Indicator --- p.47 / Chapter 3.4.2 --- Constraint Hierarchy k-Consistency --- p.49 / Chapter 3.4.3 --- A Comparsion between CHAC and PAC --- p.50 / Chapter 3.4.4 --- The CHAC Algorithm --- p.52 / Chapter 3.4.5 --- Time and Space Complexities of the CHAC Algorithm --- p.53 / Chapter 3.4.6 --- Correctness of the CHAC Algorithm --- p.56 / Chapter 4 --- A Consistency-Based Finite Domain Constraint Hierarchy Solver --- p.59 / Chapter 4.1 --- The Branch-and-Bound CHAC Solver --- p.59 / Chapter 4.2 --- Correctness of the Branch-and-Bound CHAC Solver --- p.61 / Chapter 4.3 --- An Example Execution Trace --- p.64 / Chapter 4.4 --- Experiments and Results --- p.66 / Chapter 4.4.1 --- Experimental Setup --- p.68 / Chapter 4.4.2 --- The First Experiment --- p.71 / Chapter 4.4.3 --- The Second Experiment --- p.94 / Chapter 5 --- Concluding Remarks --- p.103 / Chapter 5.1 --- Summary and Contributions --- p.103 / Chapter 5.2 --- Future Work --- p.104 / Bibliography --- p.107

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_323815
Date January 2002
ContributorsHui, Kau Cheung Henry., Chinese University of Hong Kong Graduate School. Division of Computer Science and Engineering.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, xii, 112 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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