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Presentation 2010-07-30 15:55
An Efficient Algorithm for the Partial Group of Pareto-Solutions at a Multi-Objective Network
Tomoaki Akiba (Yamagata Coll. of Ind & Tech.), Liu Danqin, Hisashi Yamamoto (Tokyo Metro Univ.) R2010-23
Abstract (in Japanese) (See Japanese page) 
(in English) The multi-objective network model can be applied to a well-known problems, which is the problem of finding the routing problem for the Internet, optimal scheduling problem of a production and distribution system and multistage-structured modeling for supply chain management system etc.. On the other hand, shortest path problem is an optimization problem of finding the shortest path connecting the two specific nodes of a directed or undirected graph. When considering not only the distances between the nodes but also other than the information, for example, toll, fuel cost or longitudinal level, the navigation system is formulated as a multi-objective shortest path problem that involves multiple conflicting objective functions. To solve the multi-objective single source shortest path problem is difficult because the multiple objectives have to be simultaneously optimized. Thus, few algorithms for this problem have been proposed yet. In this study, we consider three-objective shortest path problem, and propose 3 efficient algorithms for Pareto-solutions, based on “extended Dijkstra's algorithm”. One algorithm finds out partial group of Pareto-solutions. From the results of the numerical experiments, we see proposed algorithm is efficient for the calculation of Pareto-solutions.
Keyword (in Japanese) (See Japanese page) 
(in English) Multi-Objective Network / Shortest Path Problem / Partial Group of Pareto-Solutions / / / / /  
Reference Info. IEICE Tech. Rep., vol. 110, no. 159, R2010-23, pp. 37-41, July 2010.
Paper # R2010-23 
Date of Issue 2010-07-23 (R) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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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)
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Conference Information
Committee R  
Conference Date 2010-07-30 - 2010-07-30 
Place (in Japanese) (See Japanese page) 
Place (in English)  
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Paper Information
Registration To R 
Conference Code 2010-07-R 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) An Efficient Algorithm for the Partial Group of Pareto-Solutions at a Multi-Objective Network 
Sub Title (in English)  
Keyword(1) Multi-Objective Network  
Keyword(2) Shortest Path Problem  
Keyword(3) Partial Group of Pareto-Solutions  
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1st Author's Name Tomoaki Akiba  
1st Author's Affiliation Yamagata College of Industry & Technology (Yamagata Coll. of Ind & Tech.)
2nd Author's Name Liu Danqin  
2nd Author's Affiliation Tokyo Metropolitan University (Tokyo Metro Univ.)
3rd Author's Name Hisashi Yamamoto  
3rd Author's Affiliation Tokyo Metropolitan University (Tokyo Metro Univ.)
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Speaker Author-1 
Date Time 2010-07-30 15:55:00 
Presentation Time 25 minutes 
Registration for R 
Paper # R2010-23 
Volume (vol) vol.110 
Number (no) no.159 
Page pp.37-41 
#Pages
Date of Issue 2010-07-23 (R) 


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