  In this paper, we introduce a non-linear Lanchester model of NCW-type and
investigate an optimization problem for this model, where only the Red force is
supplied by several supply agents. Optimal fire allocation of the Blue force is
sought in the form of a piece-wise constant function of time. A threatening
rate is computed for the Red force and each of its supply agents at the
beginning of each stage of the combat. These rates can be used to derive the
optimal decision for the Blue force to focus its firepower to the Red force
itself or one of its supply agents. This optimal fire allocation is derived and
proved by considering an optimization problem of number of Blue force troops.
Numerical experiments are included to demonstrate the theoretical results.
