Analysis of stochastic Petri nets by the method of supplementary variables
Performance '93 Proceedings of the 16th IFIP Working Group 7.3 international symposium on Computer performance modeling measurement and evaluation
A Characterization of the Stochastic Process Underlying a Stochastic Petri Net
IEEE Transactions on Software Engineering
On Petri nets with deterministic and exponentially distributed firing times
Advances in Petri Nets 1987, covers the 7th European Workshop on Applications and Theory of Petri Nets
Transient Analysis of Deterministic and Stochastic Petri Nets
Proceedings of the 14th International Conference on Application and Theory of Petri Nets
A Modeling Framework to Implement Preemption Policies in Non-Markovian SPNs
IEEE Transactions on Software Engineering
Markov Regenerative Stochastic Petri Nets to Model and Evaluate Phased Mission Systems Dependability
IEEE Transactions on Computers
Preemptive repeat identical transitions in Markov regenerative stochastic Petri nets
PNPM '95 Proceedings of the Sixth International Workshop on Petri Nets and Performance Models
Performability analysis of clustered systems with rejuvenation under varying workload
Performance Evaluation
Using hidden non-Markovian Models to reconstruct system behavior in partially-observable systems
Proceedings of the 3rd International ICST Conference on Simulation Tools and Techniques
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The paper addresses the transient analysis of stochastic Petri nets with deterministic and exponentially distributed firing times. Using the method of supplementary variables, general state equations are derived which are valid under certain structural conditions. A numerical technique for the iterative solution of the state equations is proposed. Furthermore, a special case is identified, for which an efficient and easy to implement solution is possible. This technique can be also used for the approximate solution in more general cases. Numerical examples demonstrate the use of the different algorithms.