Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stationary queue and server content distribution of a
  batch-size-dependent service queue with batch Markovian arrival process:
  BMAP/G^{(a,b)}_n/1   Queueing systems with batch Markovian arrival process (BMAP) have paramount
applications in the domain of wireless communication. The BMAP has been used to
model the superposition of video sources and to approximate the super-position
of data, voice and video traffic. This paper analyzes an infinite-buffer
generally distributed batch-service queue with BMAP, general bulk service
($a,b$) rule and batch-size-dependent service time. In this proposed analysis,
we mainly focus on deriving the bivariate vector generating function of queue
and server content distribution together at departure epoch using supplementary
variable technique. The mathematical procedure for the complete extraction of
distribution at departure epoch has been discussed and using those extracted
probabilities, we achieve the queue and server content distribution at
arbitrary epoch. Finally, numerical illustrations have been carried out in
order to make a deep insight to the readers which contains deterministic as
well as phase-type service time distributions.

18
The categories of this paper are: econ
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin