Abstract

An attack–defense model is considered in which the defense party at each point of defense has several lines and uses a target allocation of its forces. The average damage caused by attack forces breaking through all defense points is used as a criterion for attack effectiveness. The problem of optimizing the defense force distribution over defense lines is solved, and optimal strategies of the parties in a zero-sum game are found.

中文翻译：

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对分层防御的攻击

摘要

考虑攻防模型，其中每个防御点的防御方都有几条防线，并使用其兵力的目标分配。以攻击力突破所有防御点造成的平均伤害作为攻击效果的衡量标准。解决了防线优化兵力分配问题，找到了零和博弈中各方的最优策略。