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On time-average limits in deterministic and stochastic Petri nets

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BRÁZDIL Tomáš KORENČIAK Ľuboš KRČÁL Jan KŘETÍNSKÝ Jan ŘEHÁK Vojtěch

Druh Článek ve sborníku
Konference ACM/SPEC International Conference on Performance Engineering, ICPE'13
Fakulta / Pracoviště MU

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Citace
Doi http://dx.doi.org/10.1145/2479871.2479936
Obor Informatika
Klíčová slova performance evaluation; stochastic Petri nets; stability
Popis In this poster paper, we study performance of systems modeled by deterministic and stochastic Petri nets (DSPN). As a performance measure, we consider long-run average time spent in a set of markings. Even though this measure often appears in DSPN literature, its existence has never been considered. We provide a DSPN model of a simple communication protocol in which the long-run average time spent in a fixed marking is {\em not} well-defined due to a highly unstable behavior of the model. Further, we introduce a syntactical restriction on DSPN which preserves most of the modeling power yet guarantees existence of the long-run average.
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