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| Presentation | 2018-09-18 13:25 Minimax regret 1-center problems with parametric weights Shohei Ookatsu, Naoki Katoh (Kwansei Gakuin Univ.), Junichi Teruyama, Yuya Higashikawa (Univ. of Hyogo), Hiroyoshi Miwa (Kwansei Gakuin Univ.)  COMP2018-13 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | In this paper, based on the minimax regret model which is an approach for the robust optimization, we consider 1-center problems in weighted and undirected graphs. In an input graph, the weight of a vertex is given as a positive function in time and the length of an edge is given as a positive value. At time t, the weighted distance of v w.r.t. x is defined as the product of the shortest distance from v to x and the weight of v, and the location cost of x is defined as the maximum weighted distance w.r.t. x. The regret of x at time t is defined as the value subtracted the optimal location cost at t from the location cost of x at t. Our aim is to find the location which minimizes the maximum regret over time. We present polynomial time algorithms for the problems on paths and trees. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | minimax regret / facility location problem / polynomial time algorithm / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 118, no. 216, COMP2018-13, pp. 29-33, Sept. 2018. | |
| Paper # | COMP2018-13 | |
| Date of Issue | 2018-09-11 (COMP) | |
| ISSN | 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 | COMP2018-13 |
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| Conference Information | |
| Committee | COMP |
| Conference Date | 2018-09-18 - 2018-09-18 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Kyusyu Institute of Technology |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2018-09-COMP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Minimax regret 1-center problems with parametric weights |
| Sub Title (in English) | |
| Keyword(1) | minimax regret |
| Keyword(2) | facility location problem |
| Keyword(3) | polynomial time algorithm |
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| 1st Author's Name | Shohei Ookatsu |
| 1st Author's Affiliation | Kwansei Gakuin University (Kwansei Gakuin Univ.) |
| 2nd Author's Name | Naoki Katoh |
| 2nd Author's Affiliation | Kwansei Gakuin University (Kwansei Gakuin Univ.) |
| 3rd Author's Name | Junichi Teruyama |
| 3rd Author's Affiliation | University of Hyogo (Univ. of Hyogo) |
| 4th Author's Name | Yuya Higashikawa |
| 4th Author's Affiliation | University of Hyogo (Univ. of Hyogo) |
| 5th Author's Name | Hiroyoshi Miwa |
| 5th Author's Affiliation | Kwansei Gakuin University (Kwansei Gakuin Univ.) |
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| Speaker | Author-1 |
| Date Time | 2018-09-18 13:25:00 |
| Presentation Time | 25 minutes |
| Registration for | COMP |
| Paper # | COMP2018-13 |
| Volume (vol) | vol.118 |
| Number (no) | no.216 |
| Page | pp.29-33 |
| #Pages | 5 |
| Date of Issue | 2018-09-11 (COMP) |
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