The article deals with two formulations of the target assignment problem. The first one concerns a homogeneous collection of air raid means (different types of aircrafts and missiles). We propose a method for solving a subclass of the problem. The approach consists of two parts. First, an equivalent assignment-type problem is constructed, then a modified branch-and-bound method is used to solve the problem. The other formulation concerns a heterogencous collection of means. To describe this problem a new algebra is introduced
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