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Published in:
2013 | OriginalPaper | Chapter
Automated Rare Event Simulation for Stochastic Petri Nets
Authors : Daniël Reijsbergen, Pieter-Tjerk de Boer, Werner Scheinhardt, Boudewijn Haverkort
Published in: Quantitative Evaluation of Systems
Publisher: Springer Berlin Heidelberg
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We introduce an automated approach for applying rare event simulation to stochastic Petri net (SPN) models of highly reliable systems. Rare event simulation can be much faster than standard simulation because it is able to exploit information about the typical behaviour of the system. Previously, such information came from heuristics, human insight, or analysis on the full state space. We present a formal algorithm that obtains the required information from the high-level SPN-description, without generating the full state space. Essentially, our algorithm reduces the state space of the model into a (much smaller) graph in which each node represents a set of states for which the most likely path to failure has the same form. We empirically demonstrate the efficiency of the method with two case studies.