Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Second Order Asymptotic Properties for the Tail Probability of the
  Number of Customers in the M/G/1 Retrial Queue   When an explicit expression for a probability distribution function $F(x)$
can not be found, asymptotic properties of the tail probability function
$\bar{F}(x)=1-F(x)$ are very valuable, since they provide approximations or
bounds for system performance, and approaches for computing probability
distribution. In this paper, we study tail asymptotic properties for the number
of the customers in the $M/G/1$ retrial queueing system. For queueing systems,
studies on asymptotic tails have mainly concentrated on the first order
asymptotic behavior. To best our knowledge, there is no second order tail
asymptotic analysis for retrial queueing models with heavy-tailed service time.
Second order asymptotic expansions provide the refined asymptotic results from
the first order approximation, and are often more difficult to obtain as
expected. The main contribution of this paper is the second order asymptotic
analysis for the $M/G/1$ retrial queue.

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The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
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The categories of this paper are: funct-an
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th