by Liang Fa Ming. / Publication date from spine. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1995. / Includes bibliographical references (leaves 49-53). / ABSTRACT --- p.1 / Chapter CHAPTER 1 : --- Introduction --- p.2 / Chapter 1.1 ： --- The TSP Problem --- p.2 / Chapter 1.2: --- Application --- p.3 / Chapter CHAPTER 2 : --- Review of Exact and Approximate Algorithms for TSP --- p.4 / Chapter 2.1 : --- Exact Algorithm --- p.4 / Chapter 2.2 : --- Heuristic Algorithms --- p.8 / Chapter CHAPTER 3 : --- Markov Chain Monte Carlo Methods --- p.16 / Chapter 3.1: --- Markov Chain Monte Carlo --- p.16 / Chapter 3.2 : --- Conditioning and Gibbs Sampler --- p.17 / Chapter 3.3: --- The Metropolis-Hasting Algorithm --- p.18 / Chapter 3.4: --- Auxiliary Variable Methods --- p.21 / Chapter CHAPTER 4: --- Weighted Markov Chain Monte Carlo Method --- p.24 / Chapter CHAPTER 5 : --- Traveling Salesman Problem --- p.31 / Chapter 5.1: --- Buildup Order --- p.33 / Chapter 5.2: --- Path Construction through a Group of Points --- p.34 / Chapter 5.3: --- Solving TSP Using the Weighted Markov Chain Method --- p.38 / Chapter 5.4: --- Temperature Scheme --- p.40 / Chapter 5.5 : --- How to Adjust the Constant Prior-Ratio --- p.41 / Chapter 5.6: --- Validation of Our Algorithm by a Simple Example --- p.41 / Chapter 5.7 : --- Adding/Deleting Blockwise --- p.42 / Chapter 5.8: --- The sequential Optimal Method and Post Optimization --- p.43 / Chapter 5. 9 : --- Composite Algorithm --- p.44 / Chapter 5.10: --- Numerical Comparisons and Tests --- p.45 / Chapter CHAPTER 6 : --- Conclusion --- p.48 / REFERENCES --- p.49 / APPENDIX A --- p.54 / APPENDIX B --- p.58 / APPENDIX C --- p.61
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_321498 |
| Date | January 1996 |
| Contributors | Liang, F. (Faming) , 1970-, Chinese University of Hong Kong Graduate School. Division of Statistics. |
| Publisher | Chinese University of Hong Kong |
| Source Sets | The Chinese University of Hong Kong |
| Language | English |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, 65 leaves : ill. ; 30 cm. |
| Rights | Use 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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