A faster‐than relation for semi‐markov decision processes

When modeling concurrent or cyber-physical systems, non-functional requirements such as time are important to consider. In order to improve the timing aspects of a model, it is necessary to have some notion of what it means for a process to be faster than another, which can guide the stepwise refine...

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Veröffentlicht in:Electronic proceedings in theoretical computer science Jg. 312; H. Proc. QAPL 2019; S. 29 - 42
Hauptverfasser: Ruggaard Pedersen, Mathias, Bacci, Giorgio, Guldstrand Larsen, Kim
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Open Publishing Association 20.01.2020
ISSN:2075-2180, 2075-2180
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Zusammenfassung:When modeling concurrent or cyber-physical systems, non-functional requirements such as time are important to consider. In order to improve the timing aspects of a model, it is necessary to have some notion of what it means for a process to be faster than another, which can guide the stepwise refinement of the model. To this end we study a faster-than relation for semi-Markov decision processes and compare it to standard notions for relating systems. We consider the compositional aspects of this relation, and show that the faster-than relation is not a precongruence with respect to parallel composition, hence giving rise to so-called parallel timing anomalies. We take the first steps toward understanding this problem by identifying decidable conditions sufficient to avoid parallel timing anomalies in the absence of non-determinism.
ISSN:2075-2180
2075-2180
DOI:10.4204/EPTCS.312.3