@incollection{eprints2584, title = {Fluid limits of queueing networks with batches}, booktitle = {Proceedings of the third joint WOSP/SIPEW international conference on Performance Engineering - ICPE '12}, pages = {45--56}, year = {2012}, author = {Luca Bortolussi and Mirco Tribastone}, publisher = {ACM}, abstract = {This paper presents an analytical model for the performance prediction of queueing networks with batch services and batch arrivals, related to the fluid limit of a suitable single-parameter sequence of continuous-time Markov chains and interpreted as the deterministic approximation of the average behaviour of the stochastic process. Notably, the underlying system of ordinary differential equations exhibits discontinuities in the right-hand sides, which however are proven to yield a meaningful solution. A substantial numerical assessment is used to study the quality of the approximation and shows very good accuracy in networks with large job populations.}, url = {http://eprints.imtlucca.it/2584/} }