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In this paper, we study the shortest path problem (SPP) with multiple source-destination pairs (MSD), namely MSD-SPP, to minimize average travel time of all shortest paths. The inherent traffic capacity limits within a road network…

Artificial Intelligence · Computer Science 2024-09-04 Jiaming Yin , Weixiong Rao , Yu Xiao , Keshuang Tang

Uncertainty quantification in travel time estimation (TTE) aims to estimate the confidence interval for travel time, given the origin (O), destination (D), and departure time (T). Accurately quantifying this uncertainty requires generating…

Artificial Intelligence · Computer Science 2025-01-22 Xiaowei Mao , Yan Lin , Shengnan Guo , Yubin Chen , Xingyu Xian , Haomin Wen , Qisen Xu , Youfang Lin , Huaiyu Wan

The purpose of this work is to introduce and characterize the Bounded Acceleration Shortest Path (BASP) problem, a generalization of the Shortest Path (SP) problem. This problem is associated to a graph: the nodes represent positions of a…

Data Structures and Algorithms · Computer Science 2024-04-10 Stefano Ardizzoni , Luca Consolini , Mattia Laurini , Marco Locatelli

The greedy strategy of geographical routing may cause the local minimum problem when there is a hole in the routing area. It depends on other strategies such as perimeter routing to find a detour path, which can be long and result in…

Networking and Internet Architecture · Computer Science 2015-02-17 Zongming Fei , Jianjun Yang , Hui Lu

Recent spatio-temporal data applications, such as car-shar\-ing and smart cities, impose new challenges regarding the scalability and timeliness of data processing systems. Trajectory compression is a promising approach for scaling up…

Databases · Computer Science 2016-02-16 Arlei Silva , Ramya Raghavendra , Mudhakar Srivatsa , Ambuj K. Singh

In this paper we develop a novel, discrete-time optimal control framework for mechanical systems with uncertain model parameters. We consider finite-horizon problems where the performance index depends on the statistical moments of the…

Optimization and Control · Mathematics 2017-05-17 George I. Boutselis , Yunpeng Pan , Gerardo De La Tore , Evangelos A. Theodorou

Two-stage methods addressing continuous shortest path problems start local minimization from discrete shortest paths in a spatial graph. The convergence of such hybrid methods to global minimizers hinges on the discretization error induced…

Optimization and Control · Mathematics 2022-04-13 Ralf Borndörfer , Fabian Danecker , Martin Weiser

We study {\em routing} and {\em scheduling} in packet-switched networks. We assume an adversary that controls the injection time, source, and destination for each packet injected. A set of paths for these packets is {\em admissible} if no…

Networking and Internet Architecture · Computer Science 2007-05-23 Matthew Andrews , Antonio Fernandez , Ashish Goel , Lisa Zhang

Parallel real-time systems (e.g., autonomous driving systems) often contain functionalities with complex dependencies and execution uncertainties, leading to significant timing variability which can be represented as a probabilistic…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-08 Yiyang Gao , Shuai Zhao , Boyang Li , Xinwei Fang , Zhiyang Lin , Zhe Jiang , Nan Guan

In this paper we analyze the effect of two modelling approaches for supply planning problems under uncertainty: two-stage stochastic programming (SP) and robust optimization (RO). The comparison between the two approaches is performed…

Optimization and Control · Mathematics 2016-11-22 Francesca Maggioni , Florian Potra , Marida Bertocchi

Trajectory planning under uncertainty is an active research topic. Previous works predict state and state estimation uncertainties along trajectories to check for collision safety. They assume either stochastic or bounded sensing…

Robotics · Computer Science 2020-12-18 Akshay Shetty , Grace Xingxin Gao

For robot swarms operating on complex missions in an uncertain environment, it is important that the decision-making algorithm considers both heterogeneity and uncertainty. This paper presents a stochastic programming framework for the…

Robotics · Computer Science 2020-10-23 Bo Fu , William Smith , Denise Rizzo , Matthew Castanier , Kira Barton

Accurate traffic forecasting is challenging due to the complex dependency on road networks, various types of roads, and the abrupt speed change due to the events. Recent works mainly focus on dynamic spatial modeling with adaptive graph…

Machine Learning · Computer Science 2024-03-06 Hyunwook Lee , Sungahn Ko

This paper addresses the problem of risk-aware fixed-time stabilization of a class of uncertain, output-feedback nonlinear systems modeled via stochastic differential equations. First, novel classes of certificate functions, namely…

Optimization and Control · Mathematics 2024-04-01 Mitchell Black , Georgios Fainekos , Bardh Hoxha , Dimitra Panagou

We consider the transmission of packets across a lossy end-to-end network path so as to achieve low in-order delivery delay. This can be formulated as a decision problem, namely deciding whether the next packet to send should be an…

Networking and Internet Architecture · Computer Science 2018-12-17 Pablo Garrido , Douglas Leith , Ramon Aguero

Assessing the resilience of a road network is instrumental to improve existing infrastructures and design new ones. Here we apply the optimal path crack model (OPC) to investigate the mobility of road networks and propose a new proxy for…

Physics and Society · Physics 2020-11-04 H. A. Carmona , A. W. T. de Noronha , A. A. Moreira , N. A. M. Araujo , J. S. Andrade

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

We study a transportation problem where two heavy-duty trucks travel across the national highway from separate origins to destinations, subject to individual deadline constraints. Our objective is to minimize their total fuel consumption by…

Systems and Control · Electrical Eng. & Systems 2022-10-06 Wenjie Xu , Titing Cui , Minghua Chen

The Vehicle Routing Problem with pickups, deliveries and spatiotemporal service constraints ($VRPPDSTC$) is a quite challenging algorithmic problem that can be dealt with in either an offline or an online fashion. In this work, we focus on…

Computational Engineering, Finance, and Science · Computer Science 2024-08-14 Spyros Kontogiannis , Andreas Paraskevopoulos , Christos Zaroliagis

Many combinatorial optimization problems can be formulated as the search for a subgraph that satisfies certain properties and minimizes the total weight. We assume here that the vertices correspond to points in a metric space and can take…

Data Structures and Algorithms · Computer Science 2024-12-25 Marin Bougeret , Jérémy Omer , Michael Poss