Presentation 1994/4/13
On Relations between Boundedness and Liveness for Deadlocks in General Petri Nets-Characterization of Globally-Structucal-Live Minimal Deadlocks-
Tadashi Matsumoto, Shinichi Yamazaki, Yasuhiko Tsuruta,
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Abstract(in Japanese) (See Japanese page)
Abstract(in English) It is widely recognized that Petri nets are one of useful models for discrete event systems£1~3!.Although the liveness problem on general Petri nets is one of big issues,it has not been solved completely from the point of view of useful structural-liveness conditions.However,the necessary and sufficient condition for locally-structural liveness of each minimal structural deadlock(MSDL)in-a general Petri net has been derived in Ref.£4!an d it has been also shown in Ref.£6!that the necessary and sufficie nt condition for structural liveness on a general Petri net N containing globaby-structural-live MSDLs is(1)or(2);(1) a singular MSDL(α)it N.(2)If not,every semi-MSDL(I)with respect to each singu lar MSDL(α)in N is locally-structural live. In this paper,first,a globally-structural-live MSDL£6!is derived from a locally-structural-live MSDL£4!and,secondly,the necessary and sufficient condition for a live or dead semi-MSDL(I)with respect to a singular MSDL(α)is also shown.Finally,it is shown tha t how to use these results to obtain the structural liveness condition for a general Petri net,which is the final goal in this field.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) General Petri nets / Structural liveness / Globally-structural- live minimal deadlocks / Locally-structural-live minimal deadlocks / singular MSDL / semi-MSDL
Paper # CST94-7
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Committee CST
Conference Date 1994/4/13(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) On Relations between Boundedness and Liveness for Deadlocks in General Petri Nets-Characterization of Globally-Structucal-Live Minimal Deadlocks-
Sub Title (in English)
Keyword(1) General Petri nets
Keyword(2) Structural liveness
Keyword(3) Globally-structural- live minimal deadlocks
Keyword(4) Locally-structural-live minimal deadlocks
Keyword(5) singular MSDL
Keyword(6) semi-MSDL
1st Author's Name Tadashi Matsumoto
1st Author's Affiliation Fuculty of Engineering,Fukui University()
2nd Author's Name Shinichi Yamazaki
2nd Author's Affiliation Fuculty of Engineering,Fukui University
3rd Author's Name Yasuhiko Tsuruta
3rd Author's Affiliation Fuculty of Engineering,Fukui University
Date 1994/4/13
Paper # CST94-7
Volume (vol) vol.94
Number (no) 6
Page pp.pp.-
#Pages 8
Date of Issue