Abstract

This section presents a new net-reduction methodology to facilitate the analysis of real-time systems using Delay Time Petri Nets (DTPNs). DTPNs are inspired by Merlin’s TPNs [Merlin & Faber, 1976], Senac’s Hierarchical Time Stream Petri Nets (HTSPNs) [Senac et al, 1994, Senac et al., 1996], and Little’s Timed Petri Nets [Little & Ghafoor, 1990, Little & Ghafoor, 1991]. DTPNs extend TPNs by attaching additional static delay intervals to arcs between places and transitions. Different from other timed extensions of Petri Nets, the motivation of DTPNs is to facilitate the development of efficient analysis methodologies rather than stronger modeling capability. We will show that DTPNs are much more suitable for net reduction. A comparison between net reduction of TPNs and DTPNs is given in Sections 1.1, 2.3, and 5.2.

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