Stochastic Petri nets are a form of Petri net where the transitions fire after a probabilistic delay determined by a random variable.
A stochastic Petri net is a five-tuple SPN = (P, T, F, M0, Λ) where: The reachability graph of stochastic Petri nets can be mapped directly to a Markov process.
It satisfies the Markov property, since its states depend only on the current marking.
Each state in the reachability graph is mapped to a state in the Markov process, and the firing of a transition with firing rate λ corresponds to a Markov state transition with probability λ.