Numerical transient analysis of Markov models
Computers and Operations Research
The Effect of Execution Policies on the Semantics and Analysis of Stochastic Petri Nets
IEEE Transactions on Software Engineering
The Fourier-series method for inverting transforms of probability distributions
Queueing Systems: Theory and Applications - Numerical computations in queues
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
Markov regenerative stochastic Petri nets
Performance '93 Proceedings of the 16th IFIP Working Group 7.3 international symposium on Computer performance modeling measurement and evaluation
Modeling and analysis of stochastic systems
Modeling and analysis of stochastic systems
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
Transient Analysis of Deterministic and Stochastic Petri Nets with TimeNET
MMB '95 Proceedings of the 8th International Conference on Modelling Techniques and Tools for Computer Performance Evaluation: Quantitative Evaluation of Computing and Communication Systems
New results for the analysis of deterministic and stochastic Petri nets
IPDS '95 Proceedings of the International Computer Performance and Dependability Symposium on Computer Performance and Dependability Symposium
Markov regenerative SPN with non-overlapping activity cycles
IPDS '95 Proceedings of the International Computer Performance and Dependability Symposium on Computer Performance and Dependability Symposium
IPDS '95 Proceedings of the International Computer Performance and Dependability Symposium on Computer Performance and Dependability Symposium
A Modeling Framework to Implement Preemption Policies in Non-Markovian SPNs
IEEE Transactions on Software Engineering
A Fourth-Order Algorithm with Automatic Stepsize Control for the Transient Analysis of DSPNs
IEEE Transactions on Software Engineering
Beyond Memoryless Distributions: Model Checking Semi-Markov Chains
PAPM-PROBMIV '01 Proceedings of the Joint International Workshop on Process Algebra and Probabilistic Methods, Performance Modeling and Verification
A Fourth-Order Algorithm with Automatic Stepsize Control for the Transient Analysis of DSPNs
PNPM '97 Proceedings of the 6th International Workshop on Petri Nets and Performance Models
Performability analysis of clustered systems with rejuvenation under varying workload
Performance Evaluation
A new approach to the evaluation of non markovian stochastic petri nets
ICATPN'06 Proceedings of the 27th international conference on Applications and Theory of Petri Nets and Other Models of Concurrency
Transient analysis of non-Markovian models using stochastic state classes
Performance Evaluation
Investigating dynamic reliability and availability through state-space models
Computers & Mathematics with Applications
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We present and compare two different approaches for the transient solution of Markov regenerative stochastic Petri Nets: the method based on Markov regenerative theory and the method of supplementary variables. In both cases the equations that govern the marking process of the non-Markovian stochastic Petri net are presented and then solved either in time-domain or using a Laplace-Stieltjes transformation. Then a comparison of both approaches is presented: expressions for asymptotic computational costs and storage requirements are developed and experimental studies are performed to compare accuracy, time, and space complexity.