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Defense Resource Distribution Between Protection and Redundancy for Constant Resource Stockpiling Pace

机译：恒定资源存储步伐中保护与冗余之间的国防资源分配

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The article considers the optimal resource distribution in a parallel system between increasing protection and providing redundancy in a situation when the attacker's and defender's resources are stockpiling and the resource increment rate is constant. It is assumed that the system must perform within an exogenously given time horizon and the attack time probability is uniformly distributed along this horizon. The defender optimizes the resource distribution in order to minimize the system destruction probability during the time horizon. First, we find the optimal pace of construction of the new redundant elements assuming that the construction must start in the initial stage of the stockpiling process. We show that starting construction of new elements in the beginning of the system's existence results in its high initial vulnerability. Introducing the time delay before starting the construction can reduce the initial system vulnerability and the entire system destruction probability. The problem of optimization of time delay and new element construction pace is considered with and without constraint on the initial system vulnerability. Examples illustrating the methodology of the optimal defense strategy analysis are presented.
机译：本文考虑了在攻击者和防御者的资源处于储备状态且资源增加速率恒定的情况下，在增加保护与提供冗余之间的并行系统中的最佳资源分配。假定系统必须在外部给定的时间范围内运行，并且攻击时间概率沿该时间范围均匀分布。防御者优化资源分配，以最大程度地降低时间范围内的系统破坏概率。首先，假设必须在库存过程的初始阶段开始建造，我们会找到新冗余元件的最佳建造速度。我们表明，在系统存在之初就开始构建新元素会导致其较高的初始脆弱性。在开始施工之前引入时间延迟可以减少系统的初始漏洞和整个系统的破坏概率。考虑时延优化和新元件构建步伐的问题，在有和没有约束初始系统漏洞的情况下。举例说明了最佳防御策略分析的方法。

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