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Synthesis and Analysis of Product-form Petri Nets

Abstract : For a large Markovian model, a ''product form'' is an explicit description of the steady-state behaviour which is otherwise generally untractable. Being first introduced in queueing networks, it has been adapted to Markovian Petri nets. Here we address three relevant issues for product-form Petri nets which were left fully or partially open: (1) we provide a sound and complete set of rules for the synthesis; (2) we characterise the exact complexity of classical problems like reachability; (3) we introduce a new subclass for which the normalising constant (a crucial value for product-form expression) can be efficiently computed.
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Preprints, Working Papers, ...
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https://hal.archives-ouvertes.fr/hal-00582584
Contributor : Hoang-Thach Nguyen <>
Submitted on : Friday, April 13, 2012 - 7:27:46 PM
Last modification on : Tuesday, March 30, 2021 - 12:12:04 PM
Long-term archiving on: : Saturday, July 14, 2012 - 2:30:43 AM

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Identifiers

  • HAL Id : hal-00582584, version 2
  • ARXIV : 1104.0291

Citation

Serge Haddad, Jean Mairesse, Hoang-Thach Nguyen. Synthesis and Analysis of Product-form Petri Nets. 2011. ⟨hal-00582584v2⟩

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