  We introduce an efficient parametric model checking (ePMC) method for the
analysis of reliability, performance and other quality-of-service (QoS)
properties of software systems. ePMC speeds up the analysis of parametric
Markov chains modelling the behaviour of software by exploiting domain-specific
modelling patterns for the software components. To this end, ePMC precomputes
closed-form expressions for key QoS properties of such patterns, and uses these
expressions in the analysis of whole-system models. To evaluate ePMC, we show
that its application to service-based systems and multi-tier software
architectures reduces analysis time by several orders of magnitude compared to
current parametric model checking methods.
