Hybrid state analysis method in stochastic Petri nets

Zhitong Huang; Jiacun Wang; Mengchu Zhou

doi:10.1109/ICSMC.1992.271663

Hybrid state analysis method in stochastic Petri nets

Zhitong Huang, Jiacun Wang, Mengchu Zhou

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper deals wich the analysis of stochastic Petri net (SPN) models with generally distributed transition firing times. A so - called hybrid state analysis (HSA) method is developed. The bask idea is to make the extended state, i. e., hybrid state, which is composed of a marking and the enabling times of enabled transitions under the marking, propagate as a Markov process by the inclusion of supplementary variables. The recursive equation of hybrid state density functions is given.

Original language	English (US)
Title of host publication	1992 IEEE International Conference on Systems, Man, and Cybernetics
Subtitle of host publication	Emergent Innovations in Information Transfer Processing and Decision Making, SMC 1992
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	992-997
Number of pages	6
ISBN (Electronic)	0780307208, 9780780307209
DOIs	https://doi.org/10.1109/ICSMC.1992.271663
State	Published - 1992
Event	IEEE International Conference on Systems, Man, and Cybernetics, SMC 1992 - Chicago, United States Duration: Oct 18 1992 → Oct 21 1992

Publication series

Name	Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
Volume	1992-January
ISSN (Print)	1062-922X

Other

Other	IEEE International Conference on Systems, Man, and Cybernetics, SMC 1992
Country/Territory	United States
City	Chicago
Period	10/18/92 → 10/21/92

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering
Control and Systems Engineering
Human-Computer Interaction

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10.1109/ICSMC.1992.271663

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Huang, Z., Wang, J., & Zhou, M. (1992). Hybrid state analysis method in stochastic Petri nets. In 1992 IEEE International Conference on Systems, Man, and Cybernetics: Emergent Innovations in Information Transfer Processing and Decision Making, SMC 1992 (pp. 992-997). Article 271663 (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics; Vol. 1992-January). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ICSMC.1992.271663

Huang, Zhitong ; Wang, Jiacun ; Zhou, Mengchu. / Hybrid state analysis method in stochastic Petri nets. 1992 IEEE International Conference on Systems, Man, and Cybernetics: Emergent Innovations in Information Transfer Processing and Decision Making, SMC 1992. Institute of Electrical and Electronics Engineers Inc., 1992. pp. 992-997 (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics).

@inproceedings{ffce47bb5e6645b592e7348fbec45662,

title = "Hybrid state analysis method in stochastic Petri nets",

abstract = "This paper deals wich the analysis of stochastic Petri net (SPN) models with generally distributed transition firing times. A so - called hybrid state analysis (HSA) method is developed. The bask idea is to make the extended state, i. e., hybrid state, which is composed of a marking and the enabling times of enabled transitions under the marking, propagate as a Markov process by the inclusion of supplementary variables. The recursive equation of hybrid state density functions is given.",

author = "Zhitong Huang and Jiacun Wang and Mengchu Zhou",

note = "Publisher Copyright: {\textcopyright} 1992 IEEE.; IEEE International Conference on Systems, Man, and Cybernetics, SMC 1992 ; Conference date: 18-10-1992 Through 21-10-1992",

year = "1992",

doi = "10.1109/ICSMC.1992.271663",

language = "English (US)",

series = "Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "992--997",

booktitle = "1992 IEEE International Conference on Systems, Man, and Cybernetics",

address = "United States",

}

Huang, Z, Wang, J & Zhou, M 1992, Hybrid state analysis method in stochastic Petri nets. in 1992 IEEE International Conference on Systems, Man, and Cybernetics: Emergent Innovations in Information Transfer Processing and Decision Making, SMC 1992., 271663, Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics, vol. 1992-January, Institute of Electrical and Electronics Engineers Inc., pp. 992-997, IEEE International Conference on Systems, Man, and Cybernetics, SMC 1992, Chicago, United States, 10/18/92. https://doi.org/10.1109/ICSMC.1992.271663

Hybrid state analysis method in stochastic Petri nets. / Huang, Zhitong; Wang, Jiacun; Zhou, Mengchu.
1992 IEEE International Conference on Systems, Man, and Cybernetics: Emergent Innovations in Information Transfer Processing and Decision Making, SMC 1992. Institute of Electrical and Electronics Engineers Inc., 1992. p. 992-997 271663 (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics; Vol. 1992-January).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Hybrid state analysis method in stochastic Petri nets

AU - Huang, Zhitong

AU - Wang, Jiacun

AU - Zhou, Mengchu

PY - 1992

Y1 - 1992

N2 - This paper deals wich the analysis of stochastic Petri net (SPN) models with generally distributed transition firing times. A so - called hybrid state analysis (HSA) method is developed. The bask idea is to make the extended state, i. e., hybrid state, which is composed of a marking and the enabling times of enabled transitions under the marking, propagate as a Markov process by the inclusion of supplementary variables. The recursive equation of hybrid state density functions is given.

AB - This paper deals wich the analysis of stochastic Petri net (SPN) models with generally distributed transition firing times. A so - called hybrid state analysis (HSA) method is developed. The bask idea is to make the extended state, i. e., hybrid state, which is composed of a marking and the enabling times of enabled transitions under the marking, propagate as a Markov process by the inclusion of supplementary variables. The recursive equation of hybrid state density functions is given.

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T3 - Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics

SP - 992

EP - 997

BT - 1992 IEEE International Conference on Systems, Man, and Cybernetics

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - IEEE International Conference on Systems, Man, and Cybernetics, SMC 1992

Y2 - 18 October 1992 through 21 October 1992

ER -

Huang Z, Wang J, Zhou M. Hybrid state analysis method in stochastic Petri nets. In 1992 IEEE International Conference on Systems, Man, and Cybernetics: Emergent Innovations in Information Transfer Processing and Decision Making, SMC 1992. Institute of Electrical and Electronics Engineers Inc. 1992. p. 992-997. 271663. (Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics). doi: 10.1109/ICSMC.1992.271663

Hybrid state analysis method in stochastic Petri nets

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