Fluid stochastic Petri nets augmented with flush-out arcs: A transient analysis technique

IEEE Transactions on Software Engineering

Volumn 28, Issue 10, 2002, Pages 944-955

  Gribaudo, Marco ^a   Horváth, András ^b  

^a UNIVERSITY OF TURIN   (Italy)

^b BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS   (Hungary)

Author keywords

Fluid stochastic petri nets; Non Markovian models; Numerical techniques

Indexed keywords

COMPUTER SIMULATION; FINITE ELEMENT METHOD; LAPLACE TRANSFORMS; MARKOV PROCESSES;

TRANSIENT ANALYSIS;

PETRI NETS;

EID: 0036821557     PISSN: 00985589     EISSN: None     Source Type: Journal    
DOI: 10.1109/TSE.2002.1041051     Document Type: Conference Paper

References (15)

1. H. Alla and R. David, "Continuous and Hybrid Petri Nets," J. Systems Circuits and Computers, vol. 8, no. 1, Feb. 1998
2. M. Gribaudo, M. Sereno, A. Horváth, and A. Bobbio, "Fluid Stochastic Petri Nets Augmented with Flush-Out Arcs: Modeling and Analysis," Discrete Event Dynamic Systems, vol. 11, no. 1/2, pp. 97-117, Jan. 2001.
3. G. Horton, "Computation of the Distribution of Accumulated Reward with Fluid Stochastic Petri Nets," Proc. Second Int'l Computer Performance & Dependability Symp. (IPDS '96), 1996.
4. G. Horton, V.G. Kulkarni, D.M. Nicol, and K.S. Trivedi, "Fluid Stochastic Petri Nets: Theory, Application, and Solution Techniques," European J. Operations Research, vol. 105, no. 1, pp. 184-201, Feb 1998.
5. K. Trivedi and V. Kulkarni, "FSPNs: Fluid Stochastic Petri Nets," Proc. 14th Int'l Conf. Application and Theory of Petri Nets, pp. 24-31, 1993.
6. K. Wolter, "Second Order Fluid Stochastic Petri Nets: An Extension of GSPNs for Approximate and Continuous Modeling," Proc. World Congress on System Simulation, pp. 328-332, Sept. 1997.
7. A. Bobbio, S. Garg, M. Gribaudo, A. Horváth, M. Sereno, and M. Telek, "Modeling Software Systems with Rejuvenation, Restoration and Checkpointing Through Fluid Stochastic Petri Nets," Proc. Eighth Int'l Workshop Petri Nets and Performance Models, Sept. 1999.
8. D.R. Cox, "The Analysis of Non-Markovian Stochastic Processes by the Inclusion of Supplementary Variables," Proc. Cambridge Phylosophical Society, vol. 51, pp. 433-440, 1955.
9. S.V. Patankar, Numerical Heat Transfer and Fluid Flow. McGraw-Hill, 1980.
10. G. Ciardo, D.M. Nicol, and K.S. Trivedi, "Discrete-Event Simulation of Fluid Stochastic Petri Nets," IEEE Trans. Software Eng., vol. 25, no. 2, pp. 207-217, Mar./Apr. 1999.
11. M. Gribaudo and M. Sereno, "Simulation of Fluid Stochastic Petri Nets," Proc. Eighth Int'l Symp. Modeling, Analysis and Simulation of Computer and Telecomm. Systems, pp. 231-239, Aug. 2000.
12. M. Ajmone Marsan, G. Balbo, G. Conte, S. Donatelli, and G. Franceschinis, Modeling with Generalized Stochastic Petri Nets. John Wiley & Sons, 1995.
13. M. Gribaudo, M. Sereno, and A. Bobbio, "Fluid Stochastic Petri Nets: An Extended Formalism to Include Non-Markovian Models," Proc. Eighth Int'l Conf. Petri Nets and Performance Models (PNPM '99), pp. 71-82, 1999.
14. P. Buchholz, G. Ciardo, P. Kemper, and S. Donatelli, "Complexity of Memory-Efficient Kronecker Operations with Applications to the Solution of Markov Models," INFORMS J. Computing, vol. 13, no. 3, pp. 203-222, 2000.
15. R.J. LeVeque, Numerical Methods for Conversation Laws. Birkhauser Verlag, 1992.