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Applications of non-Markovian stochastic Petri nets

Publication ,  Journal Article
Fricks, RM; Puliafito, A; Telek, M; Trivedi, KS
Published in: Performance Evaluation Review
January 1, 1998

Petri nets represent a powerful paradigm for modeling parallel and distributed systems. Parallelism and resource contention can easily be captured and time can be included for the analysis of system dynamic behavior. Most popular stochastic Petri nets assume that all firing times are exponentially distributed. This is found to be a severe limitation in many circumstances that require deterministic and generally distributed firing times. This has led to a considerable interest in studying non-Markovian models. In this paper we specifically focus on non-Markovian Petri nets. The analytical approach through the solution of the underlying Markov regenerative process is dealt with and numerical analysis techniques are discussed. Several examples are presented and solved to highlight the potentiality of the proposed approaches.

Duke Scholars

Published In

Performance Evaluation Review

DOI

ISSN

0163-5999

Publication Date

January 1, 1998

Volume

26

Issue

2

Start / End Page

15 / 27

Related Subject Headings

  • Networking & Telecommunications
 

Citation

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Fricks, R. M., Puliafito, A., Telek, M., & Trivedi, K. S. (1998). Applications of non-Markovian stochastic Petri nets. Performance Evaluation Review, 26(2), 15–27. https://doi.org/10.1145/288197.288204
Fricks, R. M., A. Puliafito, M. Telek, and K. S. Trivedi. “Applications of non-Markovian stochastic Petri nets.” Performance Evaluation Review 26, no. 2 (January 1, 1998): 15–27. https://doi.org/10.1145/288197.288204.
Fricks RM, Puliafito A, Telek M, Trivedi KS. Applications of non-Markovian stochastic Petri nets. Performance Evaluation Review. 1998 Jan 1;26(2):15–27.
Fricks, R. M., et al. “Applications of non-Markovian stochastic Petri nets.” Performance Evaluation Review, vol. 26, no. 2, Jan. 1998, pp. 15–27. Scopus, doi:10.1145/288197.288204.
Fricks RM, Puliafito A, Telek M, Trivedi KS. Applications of non-Markovian stochastic Petri nets. Performance Evaluation Review. 1998 Jan 1;26(2):15–27.

Published In

Performance Evaluation Review

DOI

ISSN

0163-5999

Publication Date

January 1, 1998

Volume

26

Issue

2

Start / End Page

15 / 27

Related Subject Headings

  • Networking & Telecommunications