English

Rate Reduction for State-labelled Markov Chains with Upper Time-bounded CSL Requirements

Systems and Control 2016-08-03 v1 Logic in Computer Science Performance

Abstract

This paper presents algorithms for identifying and reducing a dedicated set of controllable transition rates of a state-labelled continuous-time Markov chain model. The purpose of the reduction is to make states to satisfy a given requirement, specified as a CSL upper time-bounded Until formula. We distinguish two different cases, depending on the type of probability bound. A natural partitioning of the state space allows us to develop possible solutions, leading to simple algorithms for both cases.

Keywords

Cite

@article{arxiv.1608.00658,
  title  = {Rate Reduction for State-labelled Markov Chains with Upper Time-bounded CSL Requirements},
  author = {Bharath Siva Kumar Tati and Markus Siegle},
  journal= {arXiv preprint arXiv:1608.00658},
  year   = {2016}
}

Comments

In Proceedings Cassting'16/SynCoP'16, arXiv:1608.00177

R2 v1 2026-06-22T15:09:40.139Z