Performance Analysis Using Stochastic Petri Nets
IEEE Transactions on Computers
Basic Server Semantics and Performance Monotonicity of Continuous Petri Nets
Discrete Event Dynamic Systems
Discrete, Continuous, and Hybrid Petri Nets
Discrete, Continuous, and Hybrid Petri Nets
Feasibility of piecewise-constant control sequences for timed continuous Petri nets
Automatica (Journal of IFAC)
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Fluidification constitutes a relaxation technique for studying discrete event systems through fluidified approximated models, thus avoiding the state explosion problem. Moreover, the class of continuous models thus obtained may be interesting in itself. In Petri nets, fluidification leads to the so-called continuous Petri nets, which are technically hybrid models. Under infinite server semantics, timing a continuous Petri net model preserves the liveness property, but the converse is not necessarily true, and if the autonomous net model is not live, the timing may transform it into a live model. In this paper, we investigate the conditions on the firing rates of timed continuous models that make a given continuous system live.