id: 00026028
dt: j
an: 00026028
au: Chen, Hong; Mandelbaum, Avi
ti: Stochastic discrete flow networks: Diffusion approximations and
    bottlenecks.
so: Ann. Probab. 19, No.4, 1463-1519 (1991).
py: 1991
pu: Institute of Mathematical Statistics, Hayward, CA
la: EN
cc: 
ut: heavy traffic; queueing networks; functional central limit theorems;
    reflected Brownian motion
ci: 
li: doi:10.1214/aop/1176990220
ab: The congested discrete flow queueing networks, both open and closed, are
    described in terms of the bottlenecks of the networks. The main results
    stated as functional central limit theorems provide diffusion
    approximations for irreducible closed, open networks and networks with
    priorities. The joint limits for workload process, queue-size process,
    busy time process and sojourn time process are given. It is proved that
    the limits are reflected Brownian motions on nonnegative orthant (for
    open networks) and on the simplex (for closed ones).
rv: J.Morozov (Petrozavodsk)