Research Article

A Hybrid Discrete Grey Wolf Optimizer to Solve Weapon Target Assignment Problems

Table 1

Symbol declaration.

SymbolsExplanations

M:The number of weapon platforms that can launch missiles (e.g. fighters);
N:The number of targets;
, :The ith weapon platform and the jth target, , ;
:The number of air-to-ground missiles available for , ;
:The value of , ;
:The kill probability of missiles on against , , ;
:The decision variable indicating the number of missiles launched by against , , ;
:The engagement constraint factor indicating whether is able to attack . When one attack is feasible, , otherwise, , , ;
,:The penalty factor and the penalty function, , , ;
:The population size of the proposed HDGWO;
:A solution in the tth iteration, , where ) is the assignment scheme of . The first three best solutions are denoted by , and in turn.
:The control parameter determining which rule will be adopted to update solutions;
:The maximum iteration number;
:The elitist retention proportion;
:The perturbation value, used to modify the value of decision variables in local search;
:The selection probability, determining whether a solution is to be selected for local search;