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arXiv 1606.09111math.OC
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用于道路网络中用户引导的鲁棒自适应策略

Robust adaptive strategies for the guidance of users in road networks

Farida Manseur, Nadir Farhi, Habib Haj-Salem, Jean-Patrick Lebacque

摘要:

我们提出了一个算法,在道路网络中的用户最佳指导。它是一个“随机到达时间(SOTA)”的算法,计算最佳的指导策略与可靠的路径,道路网络的起点-目的地对。我们的贡献包括在这里扩展现有的SOTA算法,以包括鲁棒性的指导策略,对路径故障。SOTA算法的思想是计算到达目的地节点的最大概率,从道路网络的任何节点开始,并给出时间预算。该演算给出了网络中每个节点的起点-目的地对的最优路径,以及相关的最优自适应引导策略。我们在这里提出了一个扩展的这种方法,以考虑到存在和所选路径的替代弯路的性能,在微积分的指导策略。我们考虑到的事实,一个或多个链接的选择的最佳路径可能会失败,在旅行期间。然后,我们认为,用户可能是敏感的路径变化。也就是说,相对于没有或具有效率较低的弯路的路径,即使平均行驶时间和/或其可靠性有损失,他们也可能更喜欢具有有效替代弯路的路径。为了考虑到这种行为,我们提出了一个模型,其中包括存在以及所选路径的弯路的性能,在演算的旅行时间的可靠性。这种计算行程时间可靠性的新方法保证了制导策略的鲁棒性。

英文摘要:

We present an algorithm for optimal guidance of users in road networks. It is a "stochastic-on-time-arrival (SOTA)"-like algorithm which calculates optimal guidance strategies with reliable paths, for road network origin-destination pairs. Our contribution consists here in extending an existing SOTA algorithm, in order to include robustness of the guidance strategy, towards path failures. The idea of SOTA algorithms is to calculate the maximum probability of reaching a destination node, starting from any node of a road network, and given a time budget. This calculus gives the optimal path for every origin-destination pair of nodes in the network, with an associated optimal adaptive guidance strategy. We propose here an extension of this approach in order to take into account the existence and the performance of alternative detours of the selected paths, in the calculus of the guidance strategy. We take into account the fact that one or many links of the selected optimal path may fail during the travel. We then consider that users may be sensitive to path changing. That is to say that they may prefer paths with efficient alternative detours, with respect to paths without, or with less efficient detours, even with a loss in the average travel time, and/or in its reliability. In order to take into account such behaviors, we propose a model that includes the existence as well as the performance of detours for selected paths, in the calculus of the travel time reliability. This new way of calculating travel time reliability guarantees a kind of robustness of the guidance strategies.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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