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Performance evaluation of colored Petri net models using simulation and moment generating functions

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2 Author(s)
Kulp, P. ; Dept. of Electr. Comput. & Syst. Eng., Rensselaer Polytech. Inst., Troy, NY, USA ; DiCesare, F.

This paper formulates a methodology to evaluate the performance of various stochastic Petri net models including colored stochastic Petri net models. The results include an example of the performance evaluation of a stochastic Petri net. This formulation utilizes simulation to generate an approximation of the reachability graph of a Petri net, then applies moment generating function analysis to this approximate reachability graph. The approximation of the reachability graph is constructed from paths taken by a simulator as it executes the Petri net. This partial reachability graph is then combined with the firing rates of the original Petri net to form a state machine Petri net which can then be analyzed via moment generating functions. This analysis involves computing a system transfer function for the time elapsed between two specified markings of the state machine. This paper demonstrates by a small example the ability to identify a transfer function that approximates the behavior of a system represented by a Petri net.

Published in:

Systems, Man, and Cybernetics, 1998. 1998 IEEE International Conference on  (Volume:1 )

Date of Conference:

11-14 Oct 1998