Markov automata are a novel formalism for specifying systems exhibiting nondeterminism, probabilistic choices and Markovian rates. Recently, the process algebra MAPA was introduced to efficiently model such systems. As always, the state space explosion threatens the analysability of the models generated by such specifications. We therefore introduce confluence reduction for Markov automata, a powerful reduction technique to keep these models small. We define the notion of confluence directly on Markov automata, and discuss how to syntactically detect confluence on the MAPA language as well. That way, Markov automata generated by MAPA specifications can be reduced on-the-fly while preserving divergence-sensitive branching bisimulation. Three case studies demonstrate the significance of our approach, with reductions in analysis time up to an order of magnitude.
|Place of Publication||Enschede|
|Publisher||Centre for Telematics and Information Technology (CTIT)|
|Number of pages||26|
|Publication status||Published - Jun 2013|
|Name||CTIT Technical Report Series|
|Publisher||University of Twente, Centre for Telematica and Information Technology (CTIT)|
- Divergence-sensitive branching bisimulation
- Markov Automata
- Process Algebra
- EC Grant Agreement nr.: FP7/2007-2013
- EC Grant Agreement nr.: FP7/318490
- EC Grant Agreement nr.: FP7/318003
- State space reduction
Timmer, M., van de Pol, J. C., & Stoelinga, M. I. A. (2013). Confluence reduction for Markov automata (extended version). (CTIT Technical Report Series; No. TR-CTIT-13-14). Enschede: Centre for Telematics and Information Technology (CTIT).