Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The generalized join the shortest orbit queue system: Stability, exact
  tail asymptotics and stationary approximations   We introduce the \textit{generalized join the shortest queue model with
retrials} and two infinite capacity orbit queues. Three independent Poisson
streams of jobs, namely a \textit{smart}, and two \textit{dedicated} streams,
flow into a single server system, which can hold at most one job. Arriving jobs
that find the server occupied are routed to the orbits as follows: Blocked jobs
from the \textit{smart} stream are routed to the shortest orbit queue, and in
case of a tie, they choose an orbit randomly. Blocked jobs from the
\textit{dedicated} streams are routed directly to their orbits. Orbiting jobs
retry to connect with the server at different retrial rates, i.e.,
heterogeneous orbit queues. Applications of such a system are found in the
modelling of wireless cooperative networks. We are interested in the asymptotic
behaviour of the stationary distribution of this model, provided that the
system is stable. More precisely, we investigate the conditions under which the
tail asymptotic of the minimum orbit queue length is exactly geometric.
Moreover, we apply a heuristic asymptotic approach to obtain approximations of
the steady-state joint orbit queue-length distribution. Useful numerical
examples are presented, and shown that the results obtained through the
asymptotic analysis and the heuristic approach agreed.

17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex