Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Age of Information of a Queuing System with Heterogeneous Servers   An optimal control problem with heterogeneous servers to minimize the average
age of information (AoI) is considered. Each server maintains a separate queue,
and each packet arriving to the system is randomly routed to one of the
servers. Assuming Poisson arrivals and exponentially distributed service times,
we first derive an exact expression of the average AoI for two heterogeneous
servers. Next, to solve for the optimal average AoI, a close approximation is
derived, called the approximate AoI, this is shown to be useful for
multi-server systems as well. We show that for the optimal approximate AoI,
server utilization (ratio of arrival rate and service rate) for each server
should be same as the optimal server utilization with a single server queue.
For two identical servers, it is shown that the average AoI is approximately
5/8 times the average AoI of a single server. Furthermore, the average AoI is
shown to decrease considerably with the addition of more servers to the system.

15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat