Technical Reports

The report FIMU-RS-2012-01

Dual-Priced Modal Transition Systems with Time Durations

by Nikola Bene¹, Jan Køetínský, Kim Guldstrand Larsen, Mikael Moeller, Jiøí Srba, A full version of the paper presented at conference LPAR 2012. January 2012, 23 pages.

FIMU-RS-2012-01. Available as Postscript, PDF.

Abstract:

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.