Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Max-plus modeling of traffic on passenger railway lines with a junction:
  fundamental diagram and dynamic control   This thesis proposes mathematical traffic models and control laws for metro
lines with one junction. The models are based on the ones developed for linear
metro lines (without junction) in [12, 14]. The train dynamics are described
with a discrete event traffic model. Two time constraints are considered. The
first one imposes lower bounds on the train run and dwell times. The second one
fixes a lower bound on the safe separation time between two trains. A model of
the train dynamics on the junction is proposed, as well as control laws for the
train run and dwell times, as a function of the passenger travel demand. Most
of these models are written as linear systems in the max-plus algebra
(polynomial matrix algebra), which permits the characterization of the
stationary regime, and the derivation of traffic phase diagrams.

20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas