Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Products of random matrices and queueing system performance evaluation   We consider (max,+)-algebra products of random matrices, which arise from
performance evaluation of acyclic fork-join queueing networks. A new algebraic
technique to examine properties of the product and investigate its limiting
behaviour is proposed based on an extension of the standard matrix
(max,+)-algebra by endowing it with the ordinary matrix addition as an external
operation. As an application, we derive bounds on the (max,+)-algebra maximal
Lyapunov exponent which can be considered as the cycle time of the networks.

18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol