Abstract
Stochastic Petri Nets have been developed to model and analyze systems involving concurrent activities. However, the firing times of a Stochastic Petri Net model are always exponentially distributed. This paper presents an aggregate approach on how to analyze Stochastic Petri Net model with non-exponential distributions using a generalized Markov Renewal Process. Therefore, the modeling flexibility of Petri Net and the analyzing power of Markov Renewal Process are fully exploited. Moreover, an Abstract Partial Reachability Graph is introduced to simplify the Markov solution. Furthermore, the aggregate approach is applied to evaluate performance of a parallel operation system.
| Original language | English |
|---|---|
| Pages (from-to) | 933-939 |
| Number of pages | 7 |
| Journal | Microelectronics Reliability |
| Volume | 31 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1991 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Control and Systems Engineering
- Electrical and Electronic Engineering
Cite this
Analysis of Stochastic Petri Net model with non-exponential distributions using a generalized Markov Renewal Process. / Jin, Qun; Sugasawa, Yoshio; Seya, Koichiro.
In: Microelectronics Reliability, Vol. 31, No. 5, 1991, p. 933-939.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Analysis of Stochastic Petri Net model with non-exponential distributions using a generalized Markov Renewal Process
AU - Jin, Qun
AU - Sugasawa, Yoshio
AU - Seya, Koichiro
PY - 1991
Y1 - 1991
N2 - Stochastic Petri Nets have been developed to model and analyze systems involving concurrent activities. However, the firing times of a Stochastic Petri Net model are always exponentially distributed. This paper presents an aggregate approach on how to analyze Stochastic Petri Net model with non-exponential distributions using a generalized Markov Renewal Process. Therefore, the modeling flexibility of Petri Net and the analyzing power of Markov Renewal Process are fully exploited. Moreover, an Abstract Partial Reachability Graph is introduced to simplify the Markov solution. Furthermore, the aggregate approach is applied to evaluate performance of a parallel operation system.
AB - Stochastic Petri Nets have been developed to model and analyze systems involving concurrent activities. However, the firing times of a Stochastic Petri Net model are always exponentially distributed. This paper presents an aggregate approach on how to analyze Stochastic Petri Net model with non-exponential distributions using a generalized Markov Renewal Process. Therefore, the modeling flexibility of Petri Net and the analyzing power of Markov Renewal Process are fully exploited. Moreover, an Abstract Partial Reachability Graph is introduced to simplify the Markov solution. Furthermore, the aggregate approach is applied to evaluate performance of a parallel operation system.
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UR - http://www.scopus.com/inward/citedby.url?scp=0025725299&partnerID=8YFLogxK
U2 - 10.1016/0026-2714(91)90038-9
DO - 10.1016/0026-2714(91)90038-9
M3 - Article
AN - SCOPUS:0025725299
VL - 31
SP - 933
EP - 939
JO - Microelectronics and Reliability
JF - Microelectronics and Reliability
SN - 0026-2714
IS - 5
ER -