Informace o publikaci

Fixed-delay Events in Generalized Semi-Markov Processes Revisited

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BRÁZDIL Tomáš KRČÁL Jan KŘETÍNSKÝ Jan ŘEHÁK Vojtěch

Rok publikování 2011
Druh Článek ve sborníku
Konference CONCUR 2011 - Concurrency Theory: 22nd International Conference
Fakulta / Pracoviště MU

Fakulta informatiky

Citace
Obor Informatika
Klíčová slova generalized semi-Markov processes; long-run average; stability; discrete events
Popis We study long run average behavior of generalized semi-Markov processes with both fixed-delay events as well as variable-delay events. We show that allowing two fixed-delay events and one variable-delay event may cause an unstable behavior of a GSMP. In particular, we show that a frequency of a given state may not be defined for almost all runs (or more generally, an invariant measure may not exist). We use this observation to disprove several results from literature. Next we study GSMP with at most one fixed-delay event combined with an arbitrary number of variable-delay events. We prove that such a GSMP always possesses an invariant measure which means that the frequencies of states are always well defined and we provide algorithms for approximation of these frequencies. Additionally, we show that the positive results remain valid even if we allow an arbitrary number of reasonably restricted fixed-delay events.
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