Robust Preallocated Preferential Defense Model

摘要

The Robust Preallocated Preferential Defense Model (RPPDM) treats the problem of protecting a specified number of targets, which may be identical or different, from attack by a number of weapons which may vary within a specified range. The targets are defended by a specified number of interceptors. The attacker is aware of the number of interceptors but not of their allocation to the defense of targets. The size of the attack is chosen by the attacker from within a specified range. The robust strategies determined in this model do not require the defender to assume an attack size. Rather, the defender chooses a strategy which is good over a wide range of attack sizes, though not necessarily best for any particular attack size. The attacker, knowing the defender is adopting a robust strategy, chooses the optimal attack strategy for the number of weapons he chooses to expend. The expected number of survivors is a function of the robust defense strategy and the optimal attack strategy against this robust defense.