Optimizing Performance of Continuous-Time Stochastic Systems Using Timeout Synthesis

• Autores: Tomáš Brázdil, Aźuboš KorenăźIak, Jan Krăźál, Petra Nowotny, Vojtech Rehák
• Localización: Quantitative evaluation of systems: 12th International Conference, QEST 2015, Madrid, Spain, September 1-3, 2015, Proceedings / coord. por Francisco Javier Campos Laclaustra, Boudewijn R Haverkort, 2015, ISBN 9783319222639, págs. 141-159
• Idioma: inglés
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• Resumen

  • We consider parametric version of fixed-delay continuous-time Markov chains or equivalently deterministic and stochastic Petri nets, DSPN where fixed-delay transitions are specified by parameters, rather than concrete values. Our goal is to synthesize values of these parameters that, for a given cost function, minimise expected total cost incurred before reaching a given set of target states. We show that under mild assumptions, optimal values of parameters can be effectively approximated using translation to a Markov decision process MDP whose actions correspond to discretized values of these parameters. To this end we identify and overcome several interesting phenomena arising in systems with fixed delays.