Presentation | 2009-01-29 An Algorithm for the Marking Construction Problem of Petri Nets Enhanced by a MAX-LFS Algorithm and Improvement of Post-processing Toshihisa ISHII, Satoshi TAOKA, Toshimasa WATANABE, |
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Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | The marking construction problem (MCP) of Petri nets is defined as follows. "Given a Petri net N, an initial marking M_i and a target marking M_t find a marking that is closest to M_t among those which can be reached from M_i by firing transitions." MCP is known to be NP-hard, and two schemas of algorithm design are known depending on whether any algorithm for MAX-LFS is utilized or not. MCHF_k in the first schema and MCGT_k is the second one are known to have the highest capability in each schema. As for the first schema, an algorithm MC_feideq_gt_k is proposed as an improved version of MCHF_1. As for the second schema, we introduce a new measure access to be used in selecting on enable transition for rational firing, and an algorithm MCA is proposed by incorporating access value. Furthermore, an algorithm MC_feideq_a is proposed by replacing the post-processing MCGT_k of MC_feideq_gt_k with MCA. The three proposed algorithms are implemented and we compare their capability with existing algorithms through computing experiments. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | Petri nets / marking construction problems / reachability problems / heuristic algorithms / computer experiments |
Paper # | CST2008-44 |
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Committee | CST |
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Conference Date | 2009/1/22(1days) |
Place (in Japanese) | (See Japanese page) |
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Registration To | Concurrent System Technology (CST) |
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Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | An Algorithm for the Marking Construction Problem of Petri Nets Enhanced by a MAX-LFS Algorithm and Improvement of Post-processing |
Sub Title (in English) | |
Keyword(1) | Petri nets |
Keyword(2) | marking construction problems |
Keyword(3) | reachability problems |
Keyword(4) | heuristic algorithms |
Keyword(5) | computer experiments |
1st Author's Name | Toshihisa ISHII |
1st Author's Affiliation | Graduate School of Engineering, Hiroshima University() |
2nd Author's Name | Satoshi TAOKA |
2nd Author's Affiliation | Graduate School of Engineering, Hiroshima University |
3rd Author's Name | Toshimasa WATANABE |
3rd Author's Affiliation | Graduate School of Engineering, Hiroshima University |
Date | 2009-01-29 |
Paper # | CST2008-44 |
Volume (vol) | vol.108 |
Number (no) | 415 |
Page | pp.pp.- |
#Pages | 6 |
Date of Issue |