Exact results in the aggregation and disaggregation of stochastic Petri nets

The authors apply some results from the theory of insensitivity to stochastic Petri nets. In doing so exact equilibrium distributions are derived for the aggregation and disaggregation of a class of stochastic Petri nets.<<ETX>>

[1]  R. Schassberger.  The insensitivity of stationary probabilities in networks of queues , 1978, Advances in Applied Probability.

[2]  Frank Kelly,et al.  Networks of queues with customers of different types , 1975, Journal of Applied Probability.

[3]  W. Henderson,et al.  Insensitivity of processes with interruptions , 1989, Journal of Applied Probability.

[4]  Gianfranco Balbo,et al.  Combining Queueing Networks and Generalized Stochastic Petri Nets for the Solution of Complex Models of System Behavior , 1988, IEEE Trans. Computers.

[5]  Peter J. Haas,et al.  Regenerative Stochastic Petri Nets , 1986, Perform. Evaluation.

[6]  K. Mani Chandy,et al.  Open, Closed, and Mixed Networks of Queues with Different Classes of Customers , 1975, JACM.

[7]  Kishor S. Trivedi,et al.  Extended Stochastic Petri Nets: Applications and Analysis , 1984, Performance.

[8]  Peter J. Haas,et al.  Modeling Power of Stochastic Petri Nets for Simulation , 1988 .

[9]  Uwe Jansen,et al.  Stochastic Processes and Properties of Invariance for Queueing Systems with Speeds and Temporary Interruptions , 1977 .

[10]  J. R. Jackson.  Networks of Waiting Lines , 1957 .

[11]  Marco Ajmone Marsan,et al.  On Petri Nets with Stochastic Timing , 1985, PNPM.

[12]  K. Mani Chandy,et al.  Approximate Analysis of General Queuing Networks , 1975, IBM J. Res. Dev..

[13]  M. Rumsewicz,et al.  INSENSITIVITY WITH AGE-DEPENDENT ROUTING , 1989 .

[14]  F. Kelly,et al.  Networks of queues , 1976, Advances in Applied Probability.

[15]  Gianfranco Balbo,et al.  Alternative methods for incorporating non-exponential distributions into stochastic timed Petri nets , 1989, Proceedings of the Third International Workshop on Petri Nets and Performance Models, PNPM89.

[16]  K. Mani Chandy,et al.  Parametric Analysis of Queuing Networks , 1975, IBM J. Res. Dev..