Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic Control and Pricing for Natural Gas Networks   We propose stochastic control policies to cope with uncertain and variable
gas extractions in natural gas networks. Given historical gas extraction data,
these policies are optimized to produce the real-time control inputs for nodal
gas injections and for pressure regulation rates by compressors and valves. We
describe the random network state as a function of control inputs, which
enables a chance-constrained optimization of these policies for arbitrary
network topologies. This optimization ensures the real-time gas flow
feasibility and a minimal variation in the network state up to specified
feasibility and variance criteria. Furthermore, the chance-constrained
optimization provides the foundation of a stochastic pricing scheme for natural
gas networks, which improves on a deterministic market settlement by offering
the compensations to network assets for their contribution to uncertainty and
variance control. We analyze the economic properties, including efficiency,
revenue adequacy and cost recovery, of the proposed pricing scheme and make
them conditioned on the network design.

16
The categories of this paper are: stat
1
The categories of this paper are: cs
32
The categories of this paper are: atom-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
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc