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ORIS Tool: The Sirio Library


Currently, we recommend version 2.0.3 of Sirio. To add this dependency to your Maven project, just insert the following lines into your pom.xml:



Since Sirio requires Java 11, you will also need to set the following properties in pom.xml:


If you are looking for a ready-to-use project to import into Eclipse, please check the sirio-examples repository.


Sirio is a library for the analysis of stochastic time Petri nets (STPNs), a probabilistic model where:

  • The state is modeled by tokens contained inside places.
  • State changes are modeled by transitions enabled by specific enabling conditions (predicates over token counts). Simple enabling conditions can also be specified using precodition arcs (the connected place must be nonempty) and inhibitor arcs (the connected place must be empty).
  • When a transition is enabled, it samples a random timer: among all enabled transitions, the one with minimum timer value triggers the next discrete event, modifying token counts inside places and possibly enabling/disabling other transitions.

The analysis methods available in Sirio can compute transient and steady-state probabilities (and instantaneous/cumulative rewards) when the underlying stochastic process of the STPN is:

  • A continuous-time Markov chain (CTMC), i.e., all transitions are exponential or immediate. In this case, uniformization is used to compute transient probabilities.
  • A Markov-regenerative process (MRP) either:
    • Under enabling restriction, i.e., such that at most one general transition is enabled in each state. In this case, uniformization is used to analyze CTMCs subordinated to the enabling of each general transition.
    • With many general transitions, such that, eventually, they are all reset within a bounded number of a transition firing.

The latter class of MRPs includes semi-Markov processes (SMPs) as a special case. Transient analysis of generalized semi-Markov processes (GSMPs) is also possible (but computationally very expensive).

Finally, Sirio also allows the analysis of time Petri nets (TPNs), where each transition has only a minimum and maximum value for its timer (instead of a probability distribution).


  • To include Sirio in a Java project, modify your pom.xml according to the "Installation" section above.
  • To quickly get started with Sirio, you can import a ready-to-use Maven project into your Eclipse workspace from the sirio-examples repository. The project includes Sirio as a dependency and provides an example of how to create an STPN and compute its transient probabilities.
  • To learn more about the analysis functions available in Sirio, you can read the wiki of this project.
  • To learn more about the API, you can consult the online Sirio Javadoc.

If you encounter a problem with Sirio, write to us. We also keep track of open issues and improvement proposals on our issue tracker.


The Sirio library for the analysis of stochastic time Petri nets







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