Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The stability of join-the-shortest-queue models with general input and
  output processes   The paper establishes necessary and sufficient conditions for stability of
different join-the-shortest-queue models including load-balanced networks with
general input and output processes. It is shown, that the necessary and
sufficient condition for stability of load-balanced networks is associated with
the solution of a linear programming problem precisely formulated in the paper.
It is proved, that if the minimum of the objective function of that linear
programming problem is less than 1, then the associated load-balanced network
is stable.

8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int