Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Fast Distributed Algorithm for Large-Scale Demand Response Aggregation   A major challenge to implementing residential demand response is that of
aligning the objectives of many households, each of which aims to minimize its
payments and maximize its comfort level, while balancing this with the
objectives of an aggregator that aims to minimize the cost of electricity
purchased in a pooled wholesale market. This paper presents a fast distributed
algorithm for aggregating a large number of households with a mixture of
discrete and continuous energy levels. A distinctive feature of the method in
this paper is that the nonconvex DR problem is decomposed in terms of
households as opposed to devices, which allows incorporating more intricate
couplings between energy storage devices, appliances and distributed energy
resources. The proposed method is a fast distributed algorithm applied to the
double smoothed dual function of the adopted DR model. The method is tested on
systems with up to 2560 households, each with 10 devices on average. The
proposed algorithm is designed to terminate in 60 iterations irrespective of
system size, which can be ideal for an on-line version of this problem.
Moreover, numerical results show that with minimal parameter tuning, the
algorithm exhibits a very similar convergence behavior throughout the studied
systems and converges to near-optimal solutions, which corroborates its
scalability.

14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics