TY  - CHAP
Y1  - 2012///
TI  - Fluid limits of queueing networks with batches
UR  - http://dx.doi.org/10.1145/2188286.2188296
T2  - Proceedings of the third joint WOSP/SIPEW international conference on Performance Engineering - ICPE '12
PB  - ACM
A1  - Bortolussi, Luca
A1  - Tribastone, Mirco
EP  - 56
AV  - none
SN  - 978-1-4503-1202-8
SP  - 45
ID  - eprints2584
N2  - 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.
ER  -