Based on the tactics of “intercepting at the furthest and resisting in steps” in the ground-to-air defense, an integrated sensor/heterogeneous weapon allocation problem is proposed for the first time. It is formulated as a dynamic sensor/heterogeneous weapon target assignment (DS/HWTA) model in continuous time domain, including the models of the threat assessment, sensor detection probability, weapon damage probability, decision timing, unified optimization objective and constraints. An evolutionary algorithm for dynamic sensor/heterogeneous weapon target assignment (EA-DS/HWTA) is proposed, in which three coding methods are designed to build the solution individuals. The de-constrained initial population is realized based on type I coding. A modified position based crossover (MPBX) based on type II coding is presented to maintain the sensor-weapon synergy of the solutions. Based on a greedy fitness strategy, the type II coding individual is complemented and transformed to type III coding to calculate the solution fitness. The extensive experiments show that the DS/HWTA model reflects the cooperation requirements of sensor-weapon in anti-penetration operation, and the proposed solving algorithm has good convergence and real-time performance.
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