Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Switched networks with maximum weight policies: Fluid approximation and
  multiplicative state space collapse   We consider a queueing network in which there are constraints on which queues
may be served simultaneously; such networks may be used to model input-queued
switches and wireless networks. The scheduling policy for such a network
specifies which queues to serve at any point in time. We consider a family of
scheduling policies, related to the maximum-weight policy of Tassiulas and
Ephremides [IEEE Trans. Automat. Control 37 (1992) 1936--1948], for single-hop
and multihop networks. We specify a fluid model and show that fluid-scaled
performance processes can be approximated by fluid model solutions. We study
the behavior of fluid model solutions under critical load, and characterize
invariant states as those states which solve a certain network-wide
optimization problem. We use fluid model results to prove multiplicative state
space collapse. A notable feature of our results is that they do not assume
complete resource pooling.

21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph