Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonhomogeneous Place-Dependent Markov Chains, Unsynchronised AIMD, and
  Network Utility Maximization   We present a solution of a class of network utility maximization (NUM)
problems using minimal communication. The constraints of the problem are
inspired less by TCP-like congestion control but by problems in the area of
internet of things and related areas in which the need arises to bring the
behavior of a large group of agents to a social optimum. The approach uses only
intermittent feedback, no inter-agent communication, and no common clock.
  The proposed algorithm is a combination of the classical AIMD algorithm in
conjunction with a simple probabilistic rule for the agents to respond to a
capacity signal. This leads to a nonhomogeneous Markov chain and we show almost
sure convergence of this chain to the social optimum.

12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
19
The categories of this paper are: eess
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph