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arXiv 2202.09119eess.SYcs.SY
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中心点卡车编队:一种最优放行时间规则

Truck Platoon Formation at Hubs: An Optimal Release Time Rule

Alexander Johansson, Valerio Turri, Ehsan Nekouei, Karl H. Johansson, Jonas Mårtensson

摘要:

我们考虑了一个基于枢纽的车队协调问题,其中车辆到达枢纽根据一个独立和同分布的随机到达过程。车辆在枢纽处等待,并且队列协调器在每个时间步处决定是以队列的形式从枢纽释放车辆还是等待更多车辆到达。车队释放时间问题被建模为一个停止规则的问题,其中的目标是最大限度地提高平均排队效益的车辆位于枢纽,有一个成本的车辆等待在枢纽。我们表明,停止规则问题是单调的,因此,最佳的排释放时间的政策将是在一个时间步前瞻规则的形式。最优释放规则的性能进行数值比较(i)定期释放时间规则和(ii)非因果释放时间规则,其中协调员知道所有未来实现的到达过程。我们的数值结果表明,最优释放时间规则实现了接近的性能的非因果规则和优于周期性规则,特别是当到达率低。

英文摘要:

We consider a hub-based platoon coordination problem in which vehicles arrive at a hub according to an independent and identically distributed stochastic arrival process. The vehicles wait at the hub, and a platoon coordinator, at each time-step, decides whether to release the vehicles from the hub in the form of a platoon or wait for more vehicles to arrive. The platoon release time problem is modeled as a stopping rule problem wherein the objective is to maximize the average platooning benefit of the vehicles located at the hub and there is a cost of having vehicles waiting at the hub. We show that the stopping rule problem is monotone and the optimal platoon release time policy will therefore be in the form of a one time-step look-ahead rule. The performance of the optimal release rule is numerically compared with (i) a periodic release time rule and (ii) a non-causal release time rule where the coordinator knows all the future realizations of the arrival process. Our numerical results show that the optimal release time rule achieves a close performance to that of the non-causal rule and outperforms the periodic rule, especially when the arrival rate is low.

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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