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Defensive Resource Allocation: The Roles of Forecast Information and Risk Control

机译:防御性资源分配:预测信息和风险控制的作用

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摘要

In defensive resource allocation problems, the defender usually collects some forecast information about the attacker. However, the forecast information may be incorrect, which means that there could be a risk associated with the defender using it in their decision making. In this article, we propose a forecast and risk control (FRC) framework to manage the risk in defensive resource allocation with forecast information. In the FRC framework, we introduce a new measure of risk and three types of defense plans: riskless defense plan, risky defense plan, and risk-control defense plan. Several desirable properties based on the concepts of reward and penalty show that the risk-control defense plan is a general form to support defensive resource allocation. Subsequently, we study a specific defensive allocation problem with forecast information and develop an optimization model that considers the forecast information and the defender's risk tolerance level in order to obtain the risk-control defense plan with maximum reward. Furthermore, we provide some numerical analysis to illustrate the effects of forecast information and risk tolerance level on the risk-control defense plan. Finally, a numerical case study is presented to demonstrate the usability of a risk-control defense plan.
机译:在防御性资源分配问题中,后卫通常收集有关攻击者的一些预测信息。然而,预测信息可能是不正确的,这意味着可能存在与在决策制作中使用它的后卫相关的风险。在本文中,我们提出了预测和风险控制(FRC)框架来管理与预测信息的防御资源分配风险。在FRC框架中,我们介绍了一种新的风险标准和三种类型的国防计划:无风险的国防计划,风险防御计划和风险控制防御计划。基于奖励和罚款概念的若干理想性质表明,风险控制防御计划是一种支持防御资源分配的一般形式。随后,我们研究了预测信息的特定防御性分配问题,并开发了一种优化模型,以获得预测信息和后卫的风险容忍度,以便获得最大奖励的风险控制防御计划。此外,我们提供了一些数值分析,以说明预测信息和风险公差水平对风险控制防御计划的影响。最后,提出了一个数值案例研究以证明风险控制防御计划的可用性。

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