In: International Journal of Intelligent Control Systems, Vol. 3, No. 3, pages 327-341. 1999.
Abstract: The paper presents a methodology of performance evaluation for timed place Petri with shared resources. The system to be analyzed is the union of elementary circuits fused by a common transition-transition path (TTP) or by a common place-place path (PPP) through a bottom-up approach. The shared resource net describing the activities of shared resources is introduced. The average firing rate of the system is determined by how the subprocesses use the associated resources. The objective of the paper is to deal with those cases, in which subprocesses are fused into shared resource nets by a parallel or a sequential connection. For each classified case, the average firing rate is determined by theorems that can be applied to to evaluate the performance of the whole system. As an example, a discrete event system modeled by timed place Petri net is presented and its performance is evaluated. All results are verified by simulation.
Keywords: discrete event systems, shared resources, timed Petri nets.