1. Introduction
The WTA (weapon-target assignment) problem is to find a proper assignment of weapons to target s with the objective of minimizing the expected operational loss of the warship formation. It is an important task for the commanders to make a proper WTA to defend own warships. Optimization of WTA problem is the key content of air defense operational command and control. It has been shown that a WTA problem is a NP-compete problem, and it is difficult to solve this type of problems directly.