| Paper Abstract and Keywords |
| Presentation |
2010-09-29 10:00
Run-time Analysis of Ant Colony Optimization over the Cheapest Path with a Context-dependent Cost Atsushi Murata, Yoshinori Takei (Nagaoka Univ. of Tech.) COMP2010-24 |
| Abstract |
(in Japanese) |
(See Japanese page) |
| (in English) |
Since Ant Colony Optimization (ACO) was introduced by Dorigo and his colleagues in the early 1990s, it has been worked as a scheme for finding (heuristic) algorithms for a number of hard combinatorial optimization problems. On the other hand, even to a problem which has a known efficient
algorithm, it is important to analyze the application of ACO algorithm for understanding intrinsic nature of ACO. For the single destination shortest path problem (SDSP), Attiratanasunthron and Fakcharoenphol presented the first ACO algorithm with an explicit run-time upper bound, for directed acyclic graphs. For the problem, Horoba and Sudholt showed an improved upper bound $O(n^{3}+(n\log n)/\rho)$ iterations, where $n$ is the number of vertices in the graph, $\rho$ is a parameter called as the pheromone evapolation rate. In the shortest path problem, the cost of passing an edge is constant for that edge, usually called as distance. However, in some application, it is required that the cost of passing an edge depends on the context that the edge is used as a part of the path.
In this paper, we consider the application of ACO algorithm of Horoba and Sudholt to a generalized SDSP in which the cost of an ant traversing an edge is weighted in a certain manner depending on the path that the ant used to approach the edge. We show that, without major change of the algorithm, the run-time for the generalized case is essentially the same as that of the original shortest path problem if the dependence of the weight on the context satisfies a certain multiplicative functional equation and any cheapest path with respect to the cost is of finite length. |
| Keyword |
(in Japanese) |
(See Japanese page) |
| (in English) |
ant colony optimization / metaheuristics / run-time / shortest path problem / / / / |
| Reference Info. |
IEICE Tech. Rep., vol. 110, no. 214, COMP2010-24, pp. 1-8, Sept. 2010. |
| Paper # |
COMP2010-24 |
| Date of Issue |
2010-09-22 (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 |
COMP2010-24 |
| Conference Information |
| Committee |
COMP |
| Conference Date |
2010-09-29 - 2010-09-29 |
| Place (in Japanese) |
(See Japanese page) |
| Place (in English) |
Nagaoka Univ. of Tech. |
| Topics (in Japanese) |
(See Japanese page) |
| Topics (in English) |
|
| Paper Information |
| Registration To |
COMP |
| Conference Code |
2010-09-COMP |
| Language |
English (Japanese title is available) |
| Title (in Japanese) |
(See Japanese page) |
| Sub Title (in Japanese) |
(See Japanese page) |
| Title (in English) |
Run-time Analysis of Ant Colony Optimization over the Cheapest Path with a Context-dependent Cost |
| Sub Title (in English) |
|
| Keyword(1) |
ant colony optimization |
| Keyword(2) |
metaheuristics |
| Keyword(3) |
run-time |
| Keyword(4) |
shortest path problem |
| Keyword(5) |
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| Keyword(6) |
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| Keyword(7) |
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| Keyword(8) |
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| 1st Author's Name |
Atsushi Murata |
| 1st Author's Affiliation |
Nagaoka University of Technology (Nagaoka Univ. of Tech.) |
| 2nd Author's Name |
Yoshinori Takei |
| 2nd Author's Affiliation |
Nagaoka University of Technology (Nagaoka Univ. of Tech.) |
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| Speaker |
Author-1 |
| Date Time |
2010-09-29 10:00:00 |
| Presentation Time |
35 minutes |
| Registration for |
COMP |
| Paper # |
COMP2010-24 |
| Volume (vol) |
vol.110 |
| Number (no) |
no.214 |
| Page |
pp.1-8 |
| #Pages |
8 |
| Date of Issue |
2010-09-22 (COMP) |