  We present a generalisation of the classical Lanchester model for directed
fire between two combat forces but now employing networks for the manoeuvre of
Blue and Red forces, and the pattern of engagement between the two. The model
therefore integrates fires between dispersed elements, as well as manoeuvre
through an internal-to-each-side diffusive interaction. We explain the model
with several simple examples, including cases where conservation laws hold. We
then apply an optimisation approach where, for a fixed-in-structure adversary,
we optimise the internal manoeuvre and external engagement structures where the
trade-off between maximising damage on the adversary and minimising own-losses
can be examined. In the space of combat outcomes this leads to a sequence of
transitions from defeat to stalemate and then to victory for the force with
optimised networks. Depending on the trade-off between destruction and
self-preservation, the optimised networks develop a number of structures
including the appearance of so-called sacrificial nodes, that may be
interpreted as feints, manoeuvre hubs, and suppressive fires. We discuss these
in light of Manoeuvre Warfare theory.
