Dual-Priced Modal Transition Systems with Time Durations

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Authors

BENEŠ Nikola KŘETÍNSKÝ Jan LARSEN Kim G. MOLLER Mikael H. SRBA Jiří

Year of publication 2012
Type Article in Proceedings
Conference LPAR-18 - Logic for Programming, Artificial Intelligence, and Reasoning: 18th International Conference
MU Faculty or unit

Faculty of Informatics

Citation
Doi http://dx.doi.org/10.1007/978-3-642-28717-6_12
Field Informatics
Keywords modal transition systems; mean payoff games
Attached files
Description Modal transition systems are a well-established specification formalism for a high-level modelling of component-based software systems. We present a novel extension of the formalism called modal transition systems with durations where time durations are modelled as controllable or uncontrollable intervals. We further equip the model with two kinds of quantitative aspects: each action has its own running cost per time unit, and actions may require several hardware components of different costs. We ask the question, given a fixed budget for the hardware components, what is the implementation with the cheapest long-run average reward. We give an algorithm for computing such optimal implementations via a reduction to a new extension of mean payoff games with time durations and analyse the complexity of the algorithm.
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