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 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
Conference Date 2009/1/22(1days)
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Registration To Concurrent System Technology (CST)
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