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We study the problem of routing Connected and Automated Vehicles (CAVs) in the presence of mixed traffic (coexistence of regular vehicles and CAVs). In this setting, we assume that all CAVs belong to the same fleet, and can be routed using…

Optimization and Control · Mathematics 2019-05-16 Arian Houshmand , Salomón Wollenstein-Betech , Christos G. Cassandras

We study traffic flow on roads with a localized periodic inhomogeneity such as traffic signals, using a stochastic car-following model. We find that in cases of congestion, traffic flow can be optimized by controlling the inhomogeneity's…

Statistical Mechanics · Physics 2007-05-23 Elad Tomer , Leonid Safonov , Nilly Madar , Shlomo Havlin

In general, there are two kinds of cooperative driving strategies, planning based strategy and ad hoc negotiation based strategy, for connected and automated vehicles (CAVs) merging problems. The planning based strategy aims to find the…

Systems and Control · Computer Science 2018-04-05 Huile Xu , Shuo Feng , Yi Zhang , Li Li

Autonomous mobility-on-demand (AMoD) systems, centrally coordinated fleets of self-driving vehicles, offer a promising alternative to traditional ride-hailing by improving traffic flow and reducing operating costs. Centralized control in…

Optimization and Control · Mathematics 2025-06-25 Antonio Coppola , Gerhard Hiermann , Dario Paccagnan , Michel Gendreau , Maximilian Schiffer

We prove the existence of an oblivious routing scheme that is $\mathrm{poly}(\log n)$-competitive in terms of $(congestion + dilation)$, thus resolving a well-known question in oblivious routing. Concretely, consider an undirected network…

Data Structures and Algorithms · Computer Science 2022-10-24 Mohsen Ghaffari , Bernhard Haeupler , Goran Zuzic

The problem of maximizing the probability of two trucks being coordinated to merge into a platoon on a highway is considered. Truck platooning is a promising technology that allows heavy vehicles to save fuel by driving with small…

Systems and Control · Computer Science 2017-05-12 Sebastian van de Hoef , Karl H. Johansson , Dimos V. Dimarogonas

The availability of massive vehicle trajectory data enables the modeling of road-network constrained movement as travel-cost distributions rather than just single-valued costs, thereby capturing the inherent uncertainty of movement and…

Data Structures and Algorithms · Computer Science 2024-07-10 Chenjuan Guo , Ronghui Xu , Bin Yang , Ye Yuan , Tung Kieu , Yan Zhao , Christian S. Jensen

Many problems in geometric optics or convex geometry can be recast as optimal transport problems: this includes the far-field reflector problem, Alexandrov's curvature prescription problem, etc. A popular way to solve these problems…

Numerical Analysis · Mathematics 2017-03-08 Jun Kitagawa , Quentin Mérigot , Boris Thibert

Congestion pricing, while adopted by many cities to alleviate traffic congestion, raises concerns about widening socioeconomic disparities due to its disproportionate impact on low-income travelers. We address this concern by proposing a…

Computer Science and Game Theory · Computer Science 2024-09-24 Chinmay Maheshwari , Kshitij Kulkarni , Druv Pai , Jiarui Yang , Manxi Wu , Shankar Sastry

We investigate the minimum cost of a wide class of combinatorial optimization problems over random bipartite geometric graphs in $\mathbb{R}^d$ where the edge cost between two points is given by a $p$-th power of their Euclidean distance.…

Probability · Mathematics 2023-07-20 Michael Goldman , Dario Trevisan

In this paper, we propose a re-routing strategy for connected and automated vehicles (CAVs), considering coordination and control of all the CAVs in the network. The objective for each CAV is to find the route that minimizes the total…

Systems and Control · Electrical Eng. & Systems 2023-02-21 Heeseung Bang , Andreas A. Malikopoulos

We address optimal placement of vehicles with simple motion to intercept a mobile target that arrives stochastically on a line segment. The optimality of vehicle placement is measured through a cost function associated with intercepting the…

Dynamical Systems · Mathematics 2011-03-07 Shaunak D. Bopardikar , Stephen L. Smith , Francesco Bullo

In autonomous mobility-on-demand systems, effectively managing vehicle flows to mitigate induced congestion and ensure efficient operations is imperative for system performance and positive customer experience. Against this background, we…

Optimization and Control · Mathematics 2025-06-25 Antonio Coppola , Gerhard Hiermann , Dario Paccagnan , Maximilian Schiffer

We consider a transportation system of heterogeneously connected vehicles, where not all vehicles are able to communicate. Heterogeneous connectivity in transportation systems is coupled to practical constraints such that (i) not all…

Systems and Control · Computer Science 2016-08-29 Shanyu Zhou , Hulya Seferoglu

The orienteering problem is a well-studied and fundamental problem in transportation science. In the problem, we are given a graph with prizes on the nodes and lengths on the edges, together with a budget on the overall tour length. The…

Optimization and Control · Mathematics 2024-07-04 Eduardo Álvarez-Miranda , Markus Sinnl , Kübra Tanınmış

We consider an intersection zone where autonomous vehicles (AVs) and human-driven vehicles (HDVs) can be present. As a new vehicle arrives, the traffic controller needs to decide and impose an optimal sequence of the vehicles that will exit…

Systems and Control · Electrical Eng. & Systems 2021-08-31 Arnob Ghosh , Thomas Parisini

A multi-modal transport system is acknowledged to have robust failure tolerance and can effectively relieve urban congestion issues. However, estimating the impact of disruptions across multi-transport modes is a challenging problem due to…

Cooperative vehicle management emerges as a promising solution to improve road traffic safety and efficiency. This paper addresses the speed planning problem for connected and autonomous vehicles (CAVs) at an unsignalized intersection with…

Systems and Control · Electrical Eng. & Systems 2024-10-28 Xiao Pan , Boli Chen , Stelios Timotheou , Simos A. Evangelou

In this paper we study simulation based optimization algorithms for solving discrete time optimal stopping problems. This type of algorithms became popular among practioneers working in the area of quantitative finance. Using large…

Optimization and Control · Mathematics 2009-09-22 Denis Belomestny

Fuel cost contributes to a significant portion of operating cost in cargo transportation. Though classic routing models usually treat fuel cost as input data, fuel consumption heavily depends on the travel speed, which has led to the study…

Optimization and Control · Mathematics 2017-05-30 Ricardo Fukasawa , Qie He , Fernando Santos , Yongjia Song
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