Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Role of Heterogeneity in Autonomous Perimeter Defense Problems   When is heterogeneity in the composition of an autonomous robotic team
beneficial and when is it detrimental? We investigate and answer this question
in the context of a minimally viable model that examines the role of
heterogeneous speeds in perimeter defense problems, where defenders share a
total allocated speed budget. We consider two distinct problem settings and
develop strategies based on dynamic programming and on local interaction rules.
We present a theoretical analysis of both approaches and our results are
extensively validated using simulations. Interestingly, our results demonstrate
that the viability of heterogeneous teams depends on the amount of information
available to the defenders. Moreover, our results suggest a universality
property: across a wide range of problem parameters the optimal ratio of the
speeds of the defenders remains nearly constant.

30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat