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| Presentation | 2013-12-21 13:45 k-Sink Location Problem in Dynamic Path Networks Yuya Higashikawa (Kyoto Univ.), Mordecai J. Golin (HKUST), Naoki Katoh (Kyoto Univ.)  COMP2013-54 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | This paper considers the $k$-sink location problem in dynamic path networks. In our model, a dynamic path network consists of an undirected path with positive edge lengths, uniform edge capacity, and positive vertex supplies. Let ${bm x}$ denote a $k$-sink location. Under the optimal evacuation to a given ${bm x}$, any two evacuation paths never cross each other. Additionally, we assume that all evacuees given at the same vertex evacuate to the same sink. Then, there exists a $(k-1)$-vector ${bm d}$, called $(k-1)$-divider, such that each component represents the boundary dividing all evacuees between adjacent two sinks into two groups, i.e., one group evacuates to the left sink and the other group evacuates to the right sink. Then, the problem is to find ${bm x}$ and ${bm d}$ which minimizes the time required for all evacuees on a path divided by ${bm d}$ to complete evacuation to ${bm x}$. We present an $O(kn log n)$ time algorithm for the $k$-sink location problem in a dynamic path network with uniform capacity, where $n$ is the number of vertices in the given network. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | sink location / dynamic network / evacuation planning / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 113, no. 371, COMP2013-54, pp. 93-97, Dec. 2013. | |
| Paper # | COMP2013-54 | |
| Date of Issue | 2013-12-13 (COMP) | |
| 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 | COMP2013-54 |
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| Conference Information | |
| Committee | COMP |
| Conference Date | 2013-12-20 - 2013-12-21 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Okinawa Industry Support Center |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2013-12-COMP |
| Language | English (Japanese title is available) |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | k-Sink Location Problem in Dynamic Path Networks |
| Sub Title (in English) | |
| Keyword(1) | sink location |
| Keyword(2) | dynamic network |
| Keyword(3) | evacuation planning |
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| 1st Author's Name | Yuya Higashikawa |
| 1st Author's Affiliation | Kyoto University (Kyoto Univ.) |
| 2nd Author's Name | Mordecai J. Golin |
| 2nd Author's Affiliation | The Hong Kong University of Science and Technology (HKUST) |
| 3rd Author's Name | Naoki Katoh |
| 3rd Author's Affiliation | Kyoto University (Kyoto Univ.) |
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| Speaker | Author-1 |
| Date Time | 2013-12-21 13:45:00 |
| Presentation Time | 25 minutes |
| Registration for | COMP |
| Paper # | COMP2013-54 |
| Volume (vol) | vol.113 |
| Number (no) | no.371 |
| Page | pp.93-97 |
| #Pages | 5 |
| Date of Issue | 2013-12-13 (COMP) |
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