A framework to assess transient performance measures is introduced by generalizing the theory of the quasi Birthand-Death (QBD) paradigm to QBDs with marked time epochs (QBDm ). T...
iLTL is a probabilistic temporal logic that can specify properties of multiple discrete time Markov chains (DTMCs). In this paper, we describe two related tools: MarkovEstimator a...
This talk will provide an overview of work that I have done with Hana Chockler, Orna Kupferman, and Judea Pearl [1, 2, 10, 9] on defining notions such as causality, explanation, ...
Spectral expansion and matrix analytic methods are important solution mechanisms for matrix polynomial equations. These equations are encountered in the steady-state analysis of M...
Stochastic orders can be applied to Markov reward models and used to aggregate models, while introducing a bounded error. Aggregation reduces the number of states in a model, miti...
The time-bounded reachability problem for continuoustime Markov chains (CTMCs) amounts to determine the probability to reach a (set of) goal state(s) within a given time span, suc...
New mobile access networks provide reasonable high bandwidth to allow true internet access. This paper models two dominant applications of those networks. One application, WAP, is...
LiQuor is a tool for verifying probabilistic reactive systems modelled Probmela programs, which are terms of a probabilistic guarded command language with an operational semantics...