Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis of a non-work conserving Generalized Processor Sharing queue   We consider in this paper a non work-conserving Generalized Processor Sharing
(GPS) system composed of two queues with Poisson arrivals and exponential
service times. Using general results due to Fayolle \emph{et al}, we first
establish the stability condition for this system. We then determine the
functional equation satisfied by the generating function of the numbers of jobs
in both queues and the associated Riemann-Hilbert problem. We prove the
existence and the uniqueness of the solution. This allows us to completely
characterize the system, in particular to compute the empty queue probability.
We finally derive the tail asymptotics of the number of jobs in one queue.

14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ