The PEPA queues formalism augments queueing networks with customers that have behavioural characteristics defined in the popular stochastic process algebra, PEPA. Networks of PEPA queues suffer from the traditional state space explosion that affects both closed queueing networks and PEPA models. We present a technique that converts a discrete extension of PEPA queues into a continuous state space approximation. We show how continuous PEPA queues can be analysed using ordinary differential equations, the solution of which provides a time-series plot of the number of components in a particular state in a particular buffer.
Information from pubs.doc.ic.ac.uk/continuous-pepa-queue-networks.