ON A NONLINEAR LANCHESTER COMBAT MODEL OF NETWORK CENTRIC WARFARE TYPE AND AN ANALYSIS OF OPTIMAL FIRE ALLOCATIONS
In this work, we introduce a nonlinear Lanchester model of Network centric warfare (NCW)-type and study a problem of finding the optimal fire allocation for this model. A Blue party B will fight against a Red party consisting of A and R, where A is an independent force and R fights with supports from a supply unit N. Optimal fire allocation will then be sought in the form of piece-wise constant functions so that the remaining force of B is as large as possible. For this model, we also introduce a notion of threatening rates which are computed for A, R, N at each stage of the battle. These rates will then be used to derive the optimal fire allocation for B. Several numerical experiments are presented to justify the theoretical findings.