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A ride sharing problem is considered where we are given a graph, whose edges are equipped with a travel cost, plus a set of objects, each associated with a transportation request given by a pair of origin and destination nodes. A vehicle…

Discrete Mathematics · Computer Science 2016-06-10 Angelo Fanelli , Gianluigi Greco

In this study, we propose a novel heuristic two-step algorithm for shared ridehailing in which users can share their rides with only one more user. The algorithm, which is centrally formulated, starts with matching users and creating a set…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-21 Sayed Mehdi Meshkani , Bilal Farooq

Decarbonizing long-haul freight requires large-scale deployment of high-power charging infrastructure. This paper studies a multi-period charging station location problem that determines where and when to deploy charging capacity for…

We present a decomposition method for stochastic programs with 0-1 variables in the second-stage with absolute semi-deviation (ASD) risk measure. Traditional stochastic programming models are risk-neutral where expected costs are considered…

Optimization and Control · Mathematics 2016-05-27 Saravanan Venkatachalam , Lewis Ntaimo

Balancing passenger demand and vehicle availability is crucial for ensuring the sustainability and effectiveness of urban transportation systems. To address this challenge, we propose a novel hierarchical strategy for the efficient…

Systems and Control · Electrical Eng. & Systems 2024-06-17 Pengbo Zhu , Giancarlo Ferrari-Trecate , Nikolas Geroliminis

The problem of reservation in a large distributed system is analyzed via a new mathematical model. A typical application is a station-based car-sharing system which can be described as a closed stochastic network where the nodes are the…

Probability · Mathematics 2024-10-01 Christine Fricker , Hanene Mohamed

Uncoordinated charging of a rapidly growing number of electric vehicles (EVs) and the uncertainty associated with renewable energy resources may constitute a critical issue for the electric mobility (E-Mobility) in the transportation system…

Optimization and Control · Mathematics 2020-06-30 Hwei-Ming Chung , Sabita Maharjan , Yan Zhang , Frank Eliassen

We consider a distribution grid used to charge electric vehicles such that voltage drops stay bounded. We model this as a class of resource-sharing networks, known as bandwidth-sharing networks in the communication network literature. We…

Optimization and Control · Mathematics 2019-01-17 Angelos Aveklouris , Maria Vlasiou , Bert Zwart

Transport-based density estimation methods are receiving growing interest because of their ability to efficiently generate samples from the approximated density. We further invertigate the sequential transport maps framework proposed from…

Machine Learning · Statistics 2024-10-03 Benjamin Zanger , Olivier Zahm , Tiangang Cui , Martin Schreiber

Car sharing is one of the key elements of a Mobility-on-Demand system, but it still suffers from several shortcomings, the most significant of which is the fleet unbalance during the day. What is typically observed in car sharing systems,…

Other Computer Science · Computer Science 2017-09-28 Chiara Boldrini , Raffaele Bruno

Accurately estimating data density is crucial for making informed decisions and modeling in various fields. This paper presents a novel nonparametric density estimation procedure that utilizes bivariate penalized spline smoothing over…

Methodology · Statistics 2024-10-29 Kunal Das , Shan Yu , Guannan Wang , Li Wang

In this work, we introduce a novel first-order nonlocal partial differential equation with saturated diffusion to describe the macroscopic behavior of traffic dynamics. We show how the proposed model is better in comparison with existing…

Optimization and Control · Mathematics 2025-04-02 Dawson Do , Hossein Nick Zinat Matin , Masuma Mollika Miti , Maria Laura Delle Monache

Ride-pooling, which accommodates multiple passenger requests in a single trip, has the potential to significantly increase fleet utilization in shared mobility platforms. The ride-pooling assignment problem finds optimal co-riders to…

Optimization and Control · Mathematics 2022-04-15 Qi Luo , Viswanath Nagarajan , Alexander Sundt , Yafeng Yin , John Vincent , Mehrdad Shahabi

The reconstruction of smooth density fields from scattered data points is a procedure that has multiple applications in a variety of disciplines, including Lagrangian (particle-based) models of solute transport in fluids. In random walk…

Computational Physics · Physics 2019-09-04 Guillem Sole-Mari , Diogo Bolster , Daniel Fernàndez-Garcia , Xavier Sanchez-Vila

It has been found that stochastic algorithms often find good solutions much more rapidly than inherently-batch approaches. Indeed, a very useful rule of thumb is that often, when solving a machine learning problem, an iterative technique…

Machine Learning · Computer Science 2013-08-19 Andrew Cotter

In this paper, we address the problem of distributing a large amount of bulk data to a sparse vehicular network from roadside infostations, using efficient vehicle-to-vehicle collaboration. Due to the highly dynamic nature of the underlying…

Networking and Internet Architecture · Computer Science 2010-01-22 Mohsen Sardari , Faramarz Hendessi , Faramarz Fekri

The paper considers nonparametric kernel density/regression estimation from a stochastic optimization point of view. The estimation problem is represented through a family of stochastic optimization problems. Recursive constrained…

Statistics Theory · Mathematics 2024-09-05 Vladimir Norkin , Vladimir Kirilyuk

Distribution network operation is becoming more challenging because of the growing integration of intermittent and volatile distributed energy resources (DERs). This motivates the development of new distribution system state estimation…

Systems and Control · Electrical Eng. & Systems 2021-10-06 Jianqiao Huang , Xinyang Zhou , Bai Cui

This paper proposes a neural stochastic optimization method for efficiently solving the two-stage stochastic unit commitment (2S-SUC) problem under high-dimensional uncertainty scenarios. The proposed method approximates the second-stage…

Systems and Control · Electrical Eng. & Systems 2026-04-16 Zhentong Shao , Jingtao Qin , Nanpeng Yu

Consider the communication-constrained problem of nonparametric function estimation, in which each distributed terminal holds multiple i.i.d. samples. Under certain regularity assumptions, we characterize the minimax optimal rates for all…

Machine Learning · Computer Science 2025-01-15 Deheng Yuan , Tao Guo , Zhongyi Huang