Due to the rapid development and wide application of air attack weapons, air defence missiles against them are increasingly important and have become the main air defence weapons in modern war. However, interception strategy of air defence missile system is ignored in previous studies. Thus, using the combinatorial optimization, this paper proposes a methodology to optimize the strategy of ADMS in a missile-target interception process in order to minimize the expected costs for defender. According to the practice, the considered process has multiple targets and multiple phases, and the expected costs are composed of the loss caused by targets and the cost for intercept missiles. Two numerical examples are presented to illustrate the proposed methodology. The results of the examples show that interception strategies have a great impact on the expected costs of ADMS during a missile-target interception process.
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