Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bounds on the rate of convergence for inhomogeneous $M/M/S$ systems with
  either state-dependent transitions, or batch arrivals and service, or both   In this paper one presents method for the computation of convergence bounds
for four classes of multiserver queueing systems, described by inhomogeneous
Markov chains. Specifically one considers inhomogeneous $M/M/S$ queueing system
with possibly state-dependent arrival and service intensities and additionally
possible batch arrivals and batch service. The unified approach based on
logarithmic norm of linear operators for obtaining sharp upper and lower bounds
on the rate of convergence and corresponding sharp perturbation bounds is
described. As a side result, one shows by virtue of numerical examples that the
approach based on logarithmic norm can also be used for approximation of
limiting characteristics (idle probability and mean number of customers in the
system) of the considered systems with given approximation error. Extensive
numerical examples are provided.

30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph