论文标题
将潜在需求整合到大规模按需多模式运输系统设计中的启发式算法
Heuristic Algorithms for Integrating Latent Demand into the Design of Large-Scale On-Demand Multimodal Transit Systems
论文作者
论文摘要
储层计算是预测湍流的有力工具,其简单的架构具有处理大型系统的计算效率。然而,其实现通常需要完整的状态向量测量和系统非线性知识。我们使用非线性投影函数将系统测量扩展到高维空间,然后将其输入到储层中以获得预测。我们展示了这种储层计算网络在时空混沌系统上的应用,该系统模拟了湍流的若干特征。我们表明,使用径向基函数作为非线性投影器,即使只有部分观测并且不知道控制方程,也能稳健地捕捉复杂的系统非线性。最后,我们表明,当测量稀疏、不完整且带有噪声,甚至控制方程变得不准确时,我们的网络仍然可以产生相当准确的预测,从而为实际湍流系统的无模型预测铺平了道路。
Capturing latent demand has a pivotal role in designing public transit services: omitting these riders can lead to poor quality of service and/or additional costs. This paper explores this topic in the design of OnDemand Multimodal Transit Systems with Rider Adoptions (ODMTS-DA). Prior work proposed a bilevel optimization model between the transit agency and riders with choice of adoption, and an exact algorithm to solve the resulting ODMTS-DA design problem. However, due to the complexity and combinatorial nature of the ODMTS-DA, the exact algorithm exhibits difficulties on large-scale instances. This paper aims at addressing this challenge in order to find high-quality ODMTS-DA designs in reasonable time. It proposes five heuristic algorithms whose designs are driven by fundamental properties of optimal solutions. The performance of the heuristic algorithms are demonstrated on two test cases leveraging real data: a medium size case study for the Ann Arbor and Ypsilanti region in the state of Michigan and a large-scale case study conducted in the Atlanta metropolitan region in the state of Georgia. To evaluate the results, besides directly comparing computational times and optimality gaps with the exact algorithm, this paper introduces two additional metrics that leverage the characteristics of optimal solutions with respect to customer adoption. Computational results demonstrate that the heuristic algorithms find optimal solutions for medium-size problem in short running times, and discover high-quality solutions to the large-case study that improve upon the best solution found by the exact algorithm in considerably less time. The ODMTS designs obtained by these algorithms provide substantial benefits in terms of convenience, operating cost, and carbon emissions.