Probabilistic Nets-within-Nets

Michael Köhler-Bußmeier

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arXiv · 2411.10826

Probabilistic Nets-within-Nets

Michael Köhler-Bußmeier

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Abstract

In this paper we study Hornets extended with firing probabilities. Hornets are a Nets-within-Nets formalism, i.e., a Petri net formalism where the tokens are Petri nets again. Each of these net-tokens has its own firing rate, independent from the rates of other net-tokens. Hornets provide algebraic operations to modify net-tokens during the firing. For our stochastic extension these operators could also modify the net-token's firing rate. We use our model to analyse self-modifying systems quantitatively. Hornets are very well suited to model self-adaptive systems performing a MAPE-like loop (monitoring-analyse-plan-execute). Here, the system net describes the loop, and the net-tokens describe the adapted model elements.

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BibTeX RIS

Michael Köhler-Bußmeier. 2024-11-16. Probabilistic Nets-within-Nets. https://arxiv.org/abs/2411.10826

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