Control-Theoretic Models of Environmental Crime

Control-Theoretic Models of Environmental Crime
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环境犯罪的控制理论模型

DOI:
10.1137/19m1270483
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发表时间:
2020
影响因子:
1.9
通讯作者:
Vladimirsky, Alexander
Vladimirsky, Alexander
中科院分区:
数学4区
文献类型:
--
作者:
Cartee, Elliot;Vladimirsky, Alexander

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我们提出了两种模式的肇事者的决策,从保护区提取资源。 假设当局进行监视以打击采掘活动,犯罪者选择采掘后的路线,以平衡旅行的时间/艰苦程度和可能被发现的预期损失。在我们的第一个模型中,假设当局使用地面巡逻,一旦发现提取者与他们在一起,受保护的资源就会被没收。利用随机终止过程的最优控制建立了施害者路径规划模型。在我们的第二种模式中,当局使用空中巡逻,将犯罪者的逮捕和资源的没收推迟到他们离开保护区。在这种情况下,路径规划是基于多目标动态规划。我们有效的数值方法说明了通过几个例子与复杂的几何形状和地形的保护区,受保护的资源的不均匀分布,空间不均匀的检测率,由于空中或地面巡逻。
We present two models of perpetrators' decision-making in extracting resources from a protected area. It is assumed that the authorities conduct surveillance to counter the extraction activities, and that perpetrators choose their post-extraction paths to balance the time/hardship of travel against the expected losses from a possible detection. In our first model, the authorities are assumed to use ground patrols and the protected resources are confiscated as soon as the extractor is observed with them. The perpetrators' path-planning is modeled using the optimal control of randomly terminated process. In our second model, the authorities use aerial patrols, with the apprehension of perpetrators and confiscation of resources delayed until their exit from the protected area. In this case the path-planning is based on multiobjective dynamic programming. Our efficient numerical methods are illustrated through several examples with complicated geometry and terrain of protected areas, nonuniform distribution of protected resources, and spatially nonuniform detection rates due to aerial or ground patrols.
DOI: 10.1109/cdc40024.2019.9029329
发表时间: 2019
期刊: 2019 IEEE 58th Conference on Decision and Control (CDC
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