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Synergistic sensor location for link flow inference without path enumeration: A node-based approach

机译：无需路径枚举即可进行链路流推断的协同传感器位置：基于节点的方法

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摘要

Sensors are becoming increasingly critical elements in contemporary transportation systems, gathering essential (real-time) traffic information for the planning, management and control of these complex systems. In a recent paper, Hu, Peeta and Chu introduced the interesting problem of determining the smallest subset of links in a traffic network for counting sensor installation, in such a way that it becomes possible to infer the flows on all remaining links. The problem is particularly elegant because of its limited number of assumptions. Unfortunately, path enumeration was required, which - as recognized by the authors - is infeasible for large-scale networks without further simplifying assumptions (that would destroy the assumption-free nature of the problem). In this paper, we present a reformulation of this link observability problem, requiring only node enumeration. Using this node-based approach, we prove a conjecture made by Hu, Peeta and Chu by deriving an explicit relationship between the number of nodes and links in a transportation network, and the minimum number of sensors to install in order to be able to infer all link flows. In addition, we demonstrate how the proposed method can be employed for road networks that already have sensors installed on them. Numerical examples are presented throughout.
机译：传感器在现代交通系统中正变得越来越重要，它们正在收集必要的（实时）交通信息，以规划，管理和控制这些复杂的系统。在最近的一篇论文中，Hu，Peeta和Chu提出了一个有趣的问题，即确定交通网络中的最小链路子集以对传感器安装进行计数，从而可以推断所有剩余链路上的流量。由于其假设数量有限，因此该问题特别棘手。不幸的是，需要进行路径枚举，正如作者所承认的那样，对于大型网络而言，如果不进一步简化假设（这将破坏问题的无假设性质），这是不可行的。在本文中，我们提出了对此链路可观察性问题的重新表述，仅要求节点枚举即可。使用这种基于节点的方法，我们通过得出运输网络中节点和链接数与要安装的最小传感器数之间的明确关系，证明了Hu，Peeta和Chu所做的猜想。所有链接流。此外，我们演示了如何将建议的方法用于已安装传感器的道路网络。全文中提供了数值示例。

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