Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimization in a non-linear Lanchester-type model involving supply
  units   In this paper, a non-linear Lanchester-type model involving supply units is
introduced. The model describes a battle where the Blue party consisting of one
armed force $B$ is fighting against the Red party. The Red party consists of
$n$ armed forces each of which is supplied by a supply unit. A new variable
called "fire allocation" is associated to the Blue force, reflecting its
strategy during the battle. A problem of optimal fire allocation for Blue force
is then studied. The optimal fire allocation of the Blue force allows that the
number of Blue troops is always at its maximum. It is sought in the form of a
piece-wise constant function of time with the help of "threatening rates"
computed for each agent of the Red party. Numerical experiments are included to
justify the theoretical results.

37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci