Presentation 2009-01-29
Enhancing an Algorithm for Finding Legal Firing Sequences of Petri Nets by Means of Controlling Token Supply Flow and Conflicting Transition-based Backtracking
Kaigo HATANO, Satoshi TAOKA, Toshimasa WATANABE,
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Abstract(in English) The Maximum Legal Firing Sequence problem of Petri nets (MAX-LFS for short) is defined as follows: "Given a Petri net N, an initial marking M_0 and a firing count vector X, find a firing sequence δ that is legal on M_0 with respect to some X' with X'≦X and the length is maximum." MAX-LFS is known to be NP-hard. So, some huristic algorithms have been proposed. In this paper, we propose enhanced algorithms FEIDEQ_p and FEIDEQ_MK for MAX-LFS by means of (i) avoiding the generation of nonfirable transitions by searching sources that supply tokens and (ii) introducing backtracking based on conflicting transitions. It is shonw through computing experiments that the proposed algorithms have the highest capability among existing algorithms.
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Keyword(in English) Petri nets / legal firing sequence problem / heuristic algorithms / promotion rules of transition firing / backtracking
Paper # CST2008-43
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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) Enhancing an Algorithm for Finding Legal Firing Sequences of Petri Nets by Means of Controlling Token Supply Flow and Conflicting Transition-based Backtracking
Sub Title (in English)
Keyword(1) Petri nets
Keyword(2) legal firing sequence problem
Keyword(3) heuristic algorithms
Keyword(4) promotion rules of transition firing
Keyword(5) backtracking
1st Author's Name Kaigo HATANO
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 # CST2008-43
Volume (vol) vol.108
Number (no) 415
Page pp.pp.-
#Pages 6
Date of Issue