@article{eprints2601, title = {Scalable differential analysis of process algebra models}, year = {2012}, volume = {38}, month = {January}, number = {1}, pages = {205--219}, publisher = {IEEE Computer Society}, journal = {IEEE Transactions on Software Engineering}, author = {Mirco Tribastone and Stephen Gilmore and Jane Hillston}, keywords = {Markov processes; Modeling and prediction; ordinary differential equations }, url = {http://eprints.imtlucca.it/2601/}, abstract = {The exact performance analysis of large-scale software systems with discrete-state approaches is difficult because of the well-known problem of state-space explosion. This paper considers this problem with regard to the stochastic process algebra PEPA, presenting a deterministic approximation to the underlying Markov chain model based on ordinary differential equations. The accuracy of the approximation is assessed by means of a substantial case study of a distributed multithreaded application.} }