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Stationary solutions of discrete and continuous Petri nets with priorities

Abstract : We study a continuous dynamics for a class of Petri nets which allows the routing at non-free choice places to be determined by priorities rules. We show that this dynamics can be written in terms of policies which identify the bottleneck places. We characterize the stationary solutions, and show that they coincide with the stationary solutions of the discrete dynamics of this class of Petri nets. We provide numerical experiments on a case study of an emergency call center, indicating that pathologies of discrete models (oscillations around a limit different from the stationary limit) vanish by passing to continuous Petri nets.
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https://hal.inria.fr/hal-01421885
Contributor : Vianney Boeuf <>
Submitted on : Friday, December 23, 2016 - 10:14:50 AM
Last modification on : Tuesday, December 8, 2020 - 9:46:47 AM

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  • HAL Id : hal-01421885, version 1
  • ARXIV : 1612.07661

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Xavier Allamigeon, Vianney Boeuf, Stéphane Gaubert. Stationary solutions of discrete and continuous Petri nets with priorities. 10th EAI International Conference on Performance Evaluation Methodologies and Tools, Oct 2016, Taormina, France. ⟨hal-01421885⟩

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