On time-average limits in deterministic and stochastic Petri nets

• Autoři: BRÁZDIL Tomáš; KORENČIAK Ľuboš; KRČÁL Jan; KŘETÍNSKÝ Jan; ŘEHÁK Vojtěch
• Rok publikování: 2013
• Druh: Článek ve sborníku
• Konference: ACM/SPEC International Conference on Performance Engineering, ICPE'13
• Fakulta / Pracoviště MU: Fakulta informatiky
• Doi: https://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.

Související projekty

• Formální verifikace stochastických systémů s reálným časem
• Rozsáhlé výpočetní systémy: modely, aplikace a verifikace II.