Ergodicity and Throughput Bounds of Petri Nets with Unique Consistent Firing Count Vector
IEEE Transactions on Software Engineering
Petri Nets and Grafcet: Tools for Modelling Discrete Event Systems
Petri Nets and Grafcet: Tools for Modelling Discrete Event Systems
Autonomous Continuous P/T Systems
Proceedings of the 20th International Conference on Application and Theory of Petri Nets
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
FSPNs: Fluid Stochastic Petri Nets
Proceedings of the 14th International Conference on Application and Theory of Petri Nets
On the integration of delay and throughput measures in distributed processing models
On the integration of delay and throughput measures in distributed processing models
Performance Analysis Using Stochastic Petri Nets
IEEE Transactions on Computers
Petri nets and integrality relaxations: A view of continuous Petri net models
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
Optimal stationary behavior for a class of timed continuous Petri nets
Automatica (Journal of IFAC)
Steady-state performance evaluation of continuous mono-T-semiflow Petri nets
Automatica (Journal of IFAC)
Feasibility of piecewise-constant control sequences for timed continuous Petri nets
Automatica (Journal of IFAC)
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Reliability analysis is often based on stochastic discrete event models like Markov models or stochastic Petri nets. For complex dynamical systems with numerous components, analytical expressions of the steady state are tedious to work out because of the combinatory explosion with discrete models. The computation of numerical approximations is also time consuming due to the slow convergence of stochastic simulations. For these reasons, fluidification can be investigated to estimate the asymptotic behaviour of stochastic processes. The contributions of this paper are to point out that timed continuous Petri nets may lead to biased estimators of the stochastic steady state and to introduce fluid Petri nets with piecewise-constant maximal firing speeds and sufficient conditions in order to obtain unbiased estimators.