MarketStochastic Petri net
Company Profile

Stochastic Petri net

Stochastic Petri nets are a form of Petri net where the transitions fire after a probabilistic delay determined by a random variable.

Definition
A stochastic Petri net is a five-tuple SPN = (P, T, F, M0, Λ) where: • P is a set of states, called places. • T is a set of transitions. • F where F ⊂ (P × T) ∪ (T × P) is a set of flow relations called "arcs" between places and transitions (and between transitions and places). • M0 is the initial marking. • Λ = is the array of firing rates λ associated with the transitions. The firing rate, a random variable, can also be a function λ(M) of the current marking. ==Correspondence to Markov process==
Correspondence to Markov process
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. ==Software tools==
Software tools
• Platform Independent Petri net Editor • ORIS Tool • GreatSPN ==References==
tickerdossier.comtickerdossier.substack.com