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| Presentation | 2014-07-21 14:55 Solving Ability of Lin-Kernighan Method Driven by Chaotic Dynamics for Traveling Salesman Problems Takahiro Mitsuoka, Mikio Hasegawa (Tokyo Univ. of Science)  NLP2014-35 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Effectiveness of chaos for optimization has been shown by many previous researches. In this paper, a chaotic search based on the 2-opt for the Traveling Salesman Problem (TSP) is extended to the k-opt based version. A chaotic search based on the adaptive k-opt, whose k is adaptively changed in similar way to the Lin-Kernighan method, is proposed. Our proposed method is based on the tabu search. First, a conventional tabu search is implemented on a neural network model, which has refractory effects on each neuron. The tabu search neural network can be simply extended to chaotic neural network, by replacing the output function with analog sigmoidal function. By numerical simulations, it is shown that the proposed method solves good near optimum solutions, which is about 1% different from the best known solutions, with only 5000 iterations even for an 11849-city TSP. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Chaos / Combinatorial Optimization / Neural Networks / Lin-Kernighan Method / Tabu Search / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 114, no. 145, NLP2014-35, pp. 23-26, July 2014. | |
| Paper # | NLP2014-35 | |
| Date of Issue | 2014-07-14 (NLP) | |
| ISSN | Print edition: ISSN 0913-5685 Online edition: ISSN 2432-6380 | |
| Copyright and reproduction |
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034) | |
| Download PDF | NLP2014-35 |
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| Conference Information | |
| Committee | NLP |
| Conference Date | 2014-07-21 - 2014-07-22 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Hakodate City Central Library |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Nonlinear Problems, etc. |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2014-07-NLP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Solving Ability of Lin-Kernighan Method Driven by Chaotic Dynamics for Traveling Salesman Problems |
| Sub Title (in English) | |
| Keyword(1) | Chaos |
| Keyword(2) | Combinatorial Optimization |
| Keyword(3) | Neural Networks |
| Keyword(4) | Lin-Kernighan Method |
| Keyword(5) | Tabu Search |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Takahiro Mitsuoka |
| 1st Author's Affiliation | Tokyo University of Science (Tokyo Univ. of Science) |
| 2nd Author's Name | Mikio Hasegawa |
| 2nd Author's Affiliation | Tokyo University of Science (Tokyo Univ. of Science) |
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| Speaker | Author-1 |
| Date Time | 2014-07-21 14:55:00 |
| Presentation Time | 25 minutes |
| Registration for | NLP |
| Paper # | NLP2014-35 |
| Volume (vol) | vol.114 |
| Number (no) | no.145 |
| Page | pp.23-26 |
| #Pages | 4 |
| Date of Issue | 2014-07-14 (NLP) |
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