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Integration of constraint programming and linear programming techniques for constraint satisfaction problem and general constrained optimization problem.

Wong Siu Ham. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2001. / Includes bibliographical references (leaves 131-138). / Abstracts in English and Chinese. / Abstract --- p.ii / Acknowledgments --- p.vi / Chapter 1 --- Introduction --- p.1 / Chapter 1.1 --- Motivation for Integration --- p.2 / Chapter 1.2 --- Thesis Overview --- p.4 / Chapter 2 --- Preliminaries --- p.5 / Chapter 2.1 --- Constraint Programming --- p.5 / Chapter 2.1.1 --- Constraint Satisfaction Problems (CSP's) --- p.6 / Chapter 2.1.2 --- Satisfiability (SAT) Problems --- p.10 / Chapter 2.1.3 --- Systematic Search --- p.11 / Chapter 2.1.4 --- Local Search --- p.13 / Chapter 2.2 --- Linear Programming --- p.17 / Chapter 2.2.1 --- Linear Programming Problems --- p.17 / Chapter 2.2.2 --- Simplex Method --- p.19 / Chapter 2.2.3 --- Mixed Integer Programming Problems --- p.27 / Chapter 3 --- Integration of Constraint Programming and Linear Program- ming --- p.29 / Chapter 3.1 --- Problem Definition --- p.29 / Chapter 3.2 --- Related works --- p.30 / Chapter 3.2.1 --- Illustrating the Performances --- p.30 / Chapter 3.2.2 --- Improving the Searching --- p.33 / Chapter 3.2.3 --- Improving the representation --- p.36 / Chapter 4 --- A Scheme of Integration for Solving Constraint Satisfaction Prob- lem --- p.37 / Chapter 4.1 --- Integrated Algorithm --- p.38 / Chapter 4.1.1 --- Overview of the Integrated Solver --- p.38 / Chapter 4.1.2 --- The LP Engine --- p.44 / Chapter 4.1.3 --- The CP Solver --- p.45 / Chapter 4.1.4 --- Proof of Soundness and Completeness --- p.46 / Chapter 4.1.5 --- Compared with Previous Work --- p.46 / Chapter 4.2 --- Benchmarking Results --- p.48 / Chapter 4.2.1 --- Comparison with CLP solvers --- p.48 / Chapter 4.2.2 --- Magic Squares --- p.51 / Chapter 4.2.3 --- Random CSP's --- p.52 / Chapter 5 --- A Scheme of Integration for Solving General Constrained Opti- mization Problem --- p.68 / Chapter 5.1 --- Integrated Optimization Algorithm --- p.69 / Chapter 5.1.1 --- Overview of the Integrated Optimizer --- p.69 / Chapter 5.1.2 --- The CP Solver --- p.74 / Chapter 5.1.3 --- The LP Engine --- p.75 / Chapter 5.1.4 --- Proof of the Optimization --- p.77 / Chapter 5.2 --- Benchmarking Results --- p.77 / Chapter 5.2.1 --- Weighted Magic Square --- p.77 / Chapter 5.2.2 --- Template design problem --- p.78 / Chapter 5.2.3 --- Random GCOP's --- p.79 / Chapter 6 --- Conclusions and Future Work --- p.97 / Chapter 6.1 --- Conclusions --- p.97 / Chapter 6.2 --- Future work --- p.98 / Chapter 6.2.1 --- Detection of implicit equalities --- p.98 / Chapter 6.2.2 --- Dynamical variable selection --- p.99 / Chapter 6.2.3 --- Analysis on help of linear constraints --- p.99 / Chapter 6.2.4 --- Local Search and Linear Programming --- p.99 / Appendix --- p.101 / Proof of Soundness and Completeness --- p.101 / Proof of the optimization --- p.126 / Bibliography --- p.130

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_323420
Date January 2001
ContributorsWong, Siu Ham., 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, xiii, 138 leaves : ill. (some col.) ; 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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