Petri Nets (PN) are extensively employed as a robust formalism for modelling concurrent and distributed systems, yet they struggle to model adaptive reconfigurable systems effectively. In response, we have developed a formalization for “rewritable” PT nets (RwPT) using Maude, a declarative language that upholds consistent rewriting logic semantics. In this work we extend a recently introduced modular approach based on composite node labelling, to incorporate stochastic parameters, and we present an automated process to obtain a lumped CTMC from the quotient graph generated by a modular RwPT model. To demonstrate the efficacy of our method, we utilize a fault-tolerant manufacturing system as a case study.

A Lumped CTMC for Modular Rewritable PN

Gribaudo M.
2025-01-01

Abstract

Petri Nets (PN) are extensively employed as a robust formalism for modelling concurrent and distributed systems, yet they struggle to model adaptive reconfigurable systems effectively. In response, we have developed a formalization for “rewritable” PT nets (RwPT) using Maude, a declarative language that upholds consistent rewriting logic semantics. In this work we extend a recently introduced modular approach based on composite node labelling, to incorporate stochastic parameters, and we present an automated process to obtain a lumped CTMC from the quotient graph generated by a modular RwPT model. To demonstrate the efficacy of our method, we utilize a fault-tolerant manufacturing system as a case study.
2025
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
9783031809316
9783031809323
Lumped CTMC
Maude
Reconfigurable systems
SPN
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11311/1287623
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