Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of a trunk reservation policy in the framework of fog computing   We analyze in this paper a system composed of two data centers with limited
capacity in terms of servers. When one request for a single server is blocked
at the first data center, this request is forwarded to the second one. To
protect the single server requests originally assigned to the second data
center, a trunk reservation policy is introduced (i.e., a redirected request is
accepted only if there is a sufficient number of free servers at the second
data center). After rescaling the system by assuming that there are many
servers in both data centers and high request arrival rates, we are led to
analyze a random walk in the quarter plane, which has the particularity of
having non constant reflecting conditions on one boundary of the quarter plane.
Contrary to usual reflected random walks, to compute the stationary
distribution of the presented random walk, we have to determine three unknown
functions, one polynomial and two infinite generating functions. We show that
the coefficients of the polynomial are solutions to a linear system. After
solving this linear system, we are able to compute the two other unknown
functions and the blocking probabilities at both data centers. Numerical
experiments are eventually performed to estimate the gain achieved by the trunk
reservation policy.

5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin