Distributions de Cox et Hase-type dans les réseaux de Petri stochastiques : une méthode efficace de résolution
S. Haddad; P. Moreaux; G. Chiola
RAIRO - Operations Research - Recherche Opérationnelle (1998)
- Volume: 32, Issue: 3, page 289-323
- ISSN: 0399-0559
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topHaddad, S., Moreaux, P., and Chiola, G.. "Distributions de Cox et Hase-type dans les réseaux de Petri stochastiques : une méthode efficace de résolution." RAIRO - Operations Research - Recherche Opérationnelle 32.3 (1998): 289-323. <http://eudml.org/doc/105172>.
@article{Haddad1998,
author = {Haddad, S., Moreaux, P., Chiola, G.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
language = {fre},
number = {3},
pages = {289-323},
publisher = {EDP-Sciences},
title = {Distributions de Cox et Hase-type dans les réseaux de Petri stochastiques : une méthode efficace de résolution},
url = {http://eudml.org/doc/105172},
volume = {32},
year = {1998},
}
TY - JOUR
AU - Haddad, S.
AU - Moreaux, P.
AU - Chiola, G.
TI - Distributions de Cox et Hase-type dans les réseaux de Petri stochastiques : une méthode efficace de résolution
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1998
PB - EDP-Sciences
VL - 32
IS - 3
SP - 289
EP - 323
LA - fre
UR - http://eudml.org/doc/105172
ER -
References
top- 1. M. AJMONE MARSAN, G. BALBO, A. BOBBIO, G. CHIOLA, G. CONTE et A. CUMANI, The effect of execution policies on the semantics and analysis of stochastic Petri nets, IEEE Transactions on Software Engineering, July 1989, 15(7), pp. 832-846. MR1000262
- 2. M. AJMONE MARSAN, G. BALBO, A. BOBBIO, G. CHIOLA, G. CONTE et A. CUMANI, On Petri nets with stochastic timing In Proc. of the International Workshop on Timed Petri Nets, Torino, Italy, July 1-3 1985, IEEE Computer Society Press, pp. 80-87.
- 3. M. AJMONE MARSAN, G. BALBO, G. CHIOLA et G. CONTE, Generalized stochastic Petric nets revisited: random switches and prorities. In Proc. of the International Workshop on Petri Nets and Performance Models, Madison, Wisconsin, USA, August 24-26 1987, IEEE Computer Society Press, pp. 44-53.
- 4. M. AJMONE MARSAN, G. BALBO et G. CONTE, A class of generalized of stochastic Petri nets for the performance evalution of miltiprocessor Systems, ACM Transactions on computer Systems, May 1984, 2(2), pp. 93-122.
- 5. M. AJMONE MARSAN, G. BALBO, G. CONTE, S. DONATELLI et G. FRANCESCHINIS, Modelling with Generalized Stochastic Petri Nets, Wiley series in parallel Computing, John Wiley & Sons, England, 1995. Zbl0843.68080
- 6. M. AJMONE MARSAN et G. CHIOLA, On Petri nets with deterministic and exponentially distributed firing times, In G. ROZENBERG, éd., Advances in Pétri Nets 1987, number 266 in LNCS, Springer-Verlag, 1987, pp. 132-445. MR911943
- 7. P. BUCHHOLZ, Aggregation and reduction techniques for hierarchical GCSPN. In Proc. of the 5th International Workshop on Petri Nets and Performance Models, Toulouse, France, October 19-22 1993 IEEE Computer Society Press, pp. 216-225.
- 8. P. CHEN, S. C. BRUELL et G. BALBO, Alternative methods for incorporating non-exponential distributions into stochastic timed Petri nets. In Proc. of the thir International Workshop on Petri Nets and Performance Models, Kyoto, Japan,December 11-13 1989, IEEE Computer Society Press, pp. 187-197.
- 9. G. CHIOLA, G. FRANCESCHINIES, R. GAETA et M. RIBAUDO, GreatSPN 1.7: graphical editor and analyzer for timed and stochastic Petri nets, Performance Evaluatin, 1995, 24(l&2), pp.47-68. Zbl0875.68663
- 10. H. CHOI, V. G. KULKARNI et K. S. TRIVEDI, Markov regenerative stochastic Petri nets, Performance Evaluation, special issue: Peformance'93, 1994 20(1-3), pp. 337-357. MR1287889
- 11. G. CIARDO, R. GERMAN et C. LINDEMANN, A charaeterization of the stochastic process underlying a stochastic Petri net, In Proc. of the 5th International Workshop on Petri Nets and Performance Models, Toulouse, France, October 19-22 1993, IEEE Computer Society Press, pp. 170-179.
- 12. D. R. Cox, A use of complex probabilities in the theory of stochastic process, In Proc. Cambridge Philosophical Society, 1955 pp. 313-319. Zbl0066.37703MR68767
- 13. A. CUMANI, ESP-a package for the evolution of stochastic Petri nets with phase-type distributed transition times. In Proc. of the International Workshop on Times Petri Nets, Torino, Italy, July 1-3 1985, IEEE Computer Society Press, pp. 144-151.
- 14. S. DONATTELI, Superposed generalized stochastic Petri nets: definition and efficient solution. In Robert Valette, editor, proc. of the I5th International Conference on Application and Theory of Petri Nets, number 815 in LNCS, Zaragoza, Spain, June 20-24 1994, Springer-Verlag, pp. 258-277. MR1308060
- 15. R. GERMAN et C. LINDEMANN, Analysis of stochastic Petri nets by the method of supplementary variables, Performance Evaluation, special issue: Peformance'93, 1994, 20(1-3), pp. 317-335. MR1287888
- 16. S. HADDAD et P. MOREAUX, Evaluation of high level Petri nets by means of aggregation and decomposition. In Proc. of the 6th international Workshop on Petri Nets and Performance Models, Durham, NC, USA, October 3-6 1995, IEEE Computer Society Press, pp. 11-20.
- 17. S. HADDAD, P. MOREAUX, Asynchronous composition of high level Petri nets: a quantative approach. In Proc. of the 17th International Conference on Application and Theory of Petri Nets, number 1091 in LNCS, Osaka, Japan, June 24-28 1996, Springer-Verlag, pp. 193-21. MR1473472
- 18. P. KEMPER, Numerical analysis of superposed GSPNs. In Proc. of the 6th International Workshop on Petri Nets and Performance Models, Durham, NC, USA, October 3-6 1995, IEEE Computer Society Press, pp. 52-61.
- 19. M. K. MOLLOY, On the integration of delay and throughput in distributed processing models, PhD dissertation, University of California, Los Angeles, CA, USA, September 1981.
- 20. M. F. NEUTS, Matrix-geometric solutions in stochastic models - an algorithmic approach, The John Hopkins University Press, London, 1981. Zbl0469.60002MR618123
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