Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Benchmark Problem in Transportation Networks   In this note, we propose a case study of freeway traffic flow modeled as a
hybrid system. We describe two general classes of networks that model flow
along a freeway with merging onramps. The admission rate of traffic flow from
each onramp is metered via a control input. Both classes of networks are easily
scaled to accommodate arbitrary state dimension. The model is discrete-time and
possesses piecewise-affine dynamics. Moreover, we present several control
objectives that are especially relevant for traffic flow management. The
proposed model is flexible and extensible and offers a benchmark for evaluating
tools and techniques developed for hybrid systems.

7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga