Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomial-Time Algorithms for Multi-Agent Minimal-Capacity Planning   We study the problem of minimizing the resource capacity of autonomous agents
cooperating to achieve a shared task. More specifically, we consider high-level
planning for a team of homogeneous agents that operate under resource
constraints in stochastic environments and share a common goal: given a set of
target locations, ensure that each location will be visited infinitely often by
some agent almost surely. We formalize the dynamics of agents by consumption
Markov decision processes. In a consumption Markov decision process, the agent
has a resource of limited capacity. Each action of the agent may consume some
amount of the resource. To avoid exhaustion, the agent can replenish its
resource to full capacity in designated reload states. The resource capacity
restricts the capabilities of the agent. The objective is to assign target
locations to agents, and each agent is only responsible for visiting the
assigned subset of target locations repeatedly. Moreover, the assignment must
ensure that the agents can carry out their tasks with minimal resource
capacity. We reduce the problem of finding target assignments for a team of
agents with the lowest possible capacity to an equivalent graph-theoretical
problem. We develop an algorithm that solves this graph problem in time that is
\emph{polynomial} in the number of agents, target locations, and size of the
consumption Markov decision process. We demonstrate the applicability and
scalability of the algorithm in a scenario where hundreds of unmanned
underwater vehicles monitor hundreds of locations in environments with
stochastic ocean currents.

15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th