Presentation 2001/11/19
An Improved Heuristic Algorithm AAD for Minimizing Initial Markings of Petri nets
Shin'ichiro NISHI, Satoshi TAOKA, Toshimasa WATANABE,
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Abstract(in English) The minimum initial marking problem MIM of Petri nets is described as follows: "Given a Petri net and a firing count vector X, find an initial marking M_0, with the minimum total token number, for which there is a sequence δ of transitions such that each transition t appears exactly X(t) times in δ, the first transition is firable on M_0 and the rest can be fired one by one subsequently." This paper proposes two heuristic algorithms AAD and AMIM+ and shows the following (1) and (2) through experimental results: (1)AAD is more capable than any other known algorithm; (2)AMIM+ can produce M_0, with a small number of tokens, even if other algorithms are too slow to compute M_0 as the size of an input instance gets very large.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) Petri nets / minimum initial marking problems / legal firing sequence problems / defficient siphons
Paper # CAS2001-67,CST2001-20
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Committee CAS
Conference Date 2001/11/19(1days)
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Registration To Circuits and Systems (CAS)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) An Improved Heuristic Algorithm AAD for Minimizing Initial Markings of Petri nets
Sub Title (in English)
Keyword(1) Petri nets
Keyword(2) minimum initial marking problems
Keyword(3) legal firing sequence problems
Keyword(4) defficient siphons
1st Author's Name Shin'ichiro NISHI
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 2001/11/19
Paper # CAS2001-67,CST2001-20
Volume (vol) vol.101
Number (no) 458
Page pp.pp.-
#Pages 8
Date of Issue