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Given a graph $G$, we associate a path matrix $P$ whose $(i, j)$ entry represents the maximum number of vertex disjoint paths between the vertices $i$ and $j$, with zeros on the main diagonal. In this note, we resolve four conjectures from…

Data Structures and Algorithms · Computer Science 2019-02-20 Aleksandar Ilic , Milan Basic

In Colombia, there is an increasing interest about improving public transportation. One of the proposed strategies in that way is the use battery electric vehicles (BEVs). One of the new challenges is the BEVs routing problem, which is…

Systems and Control · Computer Science 2013-10-02 John Barco , Andres Guerra , Luis Muñoz , Nicanor Quijano

The goal of this project is to determine the feasibility of calculating a travel route for an electric vehicle (EV) that will require the least amount of energy for the trip, and thus extending the range of the EV. To achieve this goal, the…

Systems and Control · Electrical Eng. & Systems 2020-08-25 Guoyuan Wu , Kanok Boriboonsomsin , Matthew J. Barth

We study the problem of routing vehicles with energy constraints through a network where there are at least some charging nodes. We seek to minimize the total elapsed time for vehicles to reach their destinations by determining routes as…

Optimization and Control · Mathematics 2014-01-28 Tao Wang , Christos G. Cassandras , Sepideh Pourazarm

The smart grid spawns many innovative ideas, but many of them cannot be easily integrated into the existing power system due to power system constraints, such as the lack of capacity to transport renewable energy in remote areas to the…

Systems and Control · Computer Science 2017-01-09 Albert Y. S. Lam , Ka-Cheong Leung , Victor O. K. Li

Energy management of plug-in Hybrid Electric Vehicles (HEVs) has different challenges from non-plug-in HEVs, due to bigger batteries and grid recharging. Instead of tackling it to pursue energetic efficiency, an approach minimizing the…

Systems and Control · Computer Science 2015-10-27 Simone Formentin , Jacopo Guanetti , Sergio M. Savaresi

A key assumption made in this paper is that electric vehicle (EV) battery charging profiles are rectangular. This requires a specific and new formulation of the charging problem, involving discrete action sets for the EVs in particular. The…

Optimization and Control · Mathematics 2015-09-24 Oliver Beaude , Samson Lasaulce , Martin Hennebel , Ibrahim Mohand-Kaci

Let $G=(V,E,w)$ be a weighted directed graph without negative cycles. For two vertices $s,t\in V$, we let $d_{\le h}(s,t)$ be the minimum, according to the weight function $w$, of a path from $s$ to $t$ that uses at most $h$ edges, or hops.…

Data Structures and Algorithms · Computer Science 2024-11-01 Virginia Vassilevska Williams , Zoe Xi , Yinzhan Xu , Uri Zwick

Let $V$ be a set of $n$ points in the plane. The unit-disk graph $G = (V, E)$ has vertex set $V$ and an edge $e_{uv} \in E$ between vertices $u, v \in V$ if the Euclidean distance between $u$ and $v$ is at most 1. The weight of each edge…

Computational Geometry · Computer Science 2024-07-04 Bruce W. Brewer , Haitao Wang

Although electric vehicles are considered a viable solution to reduce greenhouse gas emissions, their uncoordinated charging could have adverse effects on power system operation. Nevertheless, the task of optimal electric vehicle charging…

Optimization and Control · Mathematics 2016-01-19 Liang Zhang , Vassilis Kekatos , Georgios B. Giannakis

Earlier work has established a decentralized framework of optimally controlling connected and automated vehicles (CAVs) crossing an urban intersection without using explicit traffic signaling. The proposed solution is capable of minimizing…

Optimization and Control · Mathematics 2018-03-16 Yue Zhang , Christos G. Cassandras

Vehicle-to-grid (V2G) is a promising approach to solve the problem of grid-level intermittent supply and demand mismatch, caused due to renewable energy resources, because it uses the existing resource of electric vehicle (EV) batteries as…

Applications · Statistics 2022-04-04 Heta A. Gandhi , Andrew D. White

Given an undirected graph $G=(V,E)$ with positive edge lengths and two vertices $s$ and $t$, the next-to-shortest path problem is to find an $st$-path which length is minimum amongst all $st$-paths strictly longer than the shortest path…

Data Structures and Algorithms · Computer Science 2012-03-22 Bang Ye Wu

We address the problem of optimally controlling connected and automated vehicles (CAVs) crossing an urban intersection without any explicit traffic signaling, so as to minimize energy consumption subject to a throughput maximization…

Optimization and Control · Mathematics 2018-04-03 Andreas A. Malikopoulos , Christos G. Cassandras , Yue J. Zhang

Drive modes are driver-selectable pre-set configurations of powertrain and certain vehicle parameters. Plug-in hybrid electric vehicles (PHEVs) typically feature special options of drive modes that can affect the hybrid energy source…

Data Structures and Algorithms · Computer Science 2017-12-12 Chi-Kin Chau , Khaled Elbassioni , Chien-Ming Tseng

The integration of electric vehicles (EVs) with the energy grid has become an important area of research due to the increasing EV penetration in today's transportation systems. Under appropriate management of EV charging and discharging,…

Optimization and Control · Mathematics 2021-07-21 Bo Lin , Bissan Ghaddar , Jatin Nathwani

We study how high charging rate demands from electric vehicles (EVs) in a power distribution grid may collectively cause poor dynamic performance, and propose a price incentivization strategy to steer customers to settle for lesser charging…

Optimization and Control · Mathematics 2025-08-26 Amit Kumer Podder , Tomonori Sadamoto , Aranya Chakrabortty

Electric Vehicles (EVs), as their penetration increases, are not only challenging the sustainability of the power grid, but also stimulating and promoting its upgrading. Indeed, EVs can actively reinforce the development of the Smart Grid…

Computer Science and Game Theory · Computer Science 2016-04-18 Wenjing Shuai , Patrick Maillé , Alexander Pelov

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

This paper studies optimal thermal management and charging of a battery electric vehicle driving over long distance trips. The focus is on the potential benefits of including a heat pump in the thermal management system for waste heat…

Systems and Control · Electrical Eng. & Systems 2022-10-10 Ahad Hamednia , Victor Hanson , Jiaming Zhao , Nikolce Murgovski , Jimmy Forsman , Mitra Pourabdollah , Viktor Larsson , Jonas Fredriksson