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We combine the power flow model with the proportionally fair optimization criterion to study the control of congestion within a distribution electric grid network. The form of the mathematical optimization problem is a convex second order…

Optimization and Control · Mathematics 2018-10-04 Miroslav Gardlo , Ľuboš Buzna , Rui Carvalho , Richard Gibbens , Frank Kelly

Given the rise of electric vehicle (EV) adoption, supported by government policies and dropping technology prices, new challenges arise in the modeling and operation of electric transportation. In this paper, we present a model for solving…

Optimization and Control · Mathematics 2021-04-13 Oluwaseun Oladimeji , Alvaro Gonzalez-Castellanos , David Pozo , Yury Dvorkin , Samrat Acharya

The current best practice for computing optimal transport (OT) is via entropy regularization and Sinkhorn iterations. This algorithm runs in quadratic time as it requires the full pairwise cost matrix, which is prohibitively expensive for…

Machine Learning · Computer Science 2022-04-06 Johannes Gasteiger , Marten Lienen , Stephan Günnemann

Electrified shared mobility services need to handle charging infrastructure planning and manage their daily charging operations to minimize total charging operation time and cost. However, existing studies tend to address these problems…

Optimization and Control · Mathematics 2022-09-29 Tai-Yu Ma , Simin Xie

We present an anytime algorithm that generates a collision-free configuration-space path that closely follows a desired path in task space, according to the discrete Frechet distance. By leveraging tools from computational geometry, we…

Robotics · Computer Science 2021-01-01 Rachel Holladay , Oren Salzman , Siddhartha Srinivasa

Given a graph, the shortest-path problem requires finding a sequence of edges with minimum cumulative length that connects a source vertex to a target vertex. We consider a variant of this classical problem in which the position of each…

Discrete Mathematics · Computer Science 2024-05-10 Tobia Marcucci , Jack Umenberger , Pablo A. Parrilo , Russ Tedrake

Quantum Annealing is a heuristic for solving optimization problems that have seen a recent surge in usage owing to the success of D-Wave Systems. This paper aims to find a good heuristic for solving the Electric Vehicle Charger Placement…

Quantum Physics · Physics 2022-04-25 Aman Chandra , Jitesh Lalwani , Babita Jajodia

We present linear time {\it in-place} algorithms for several basic and fundamental graph problems including the well-known graph search methods (like depth-first search, breadth-first search, maximum cardinality search), connectivity…

Data Structures and Algorithms · Computer Science 2019-07-24 Sankardeep Chakraborty , Kunihiko Sadakane , Srinivasa Rao Satti

The graph matching problem seeks to find an alignment between the nodes of two graphs that minimizes the number of adjacency disagreements. Solving the graph matching is increasingly important due to it's applications in operations…

Machine Learning · Statistics 2021-11-11 Ali Saad-Eldin , Benjamin D. Pedigo , Carey E. Priebe , Joshua T. Vogelstein

The increasing electrification of human activities and the rapid integration of variable renewable energy sources strain the power grid. A solution to address the need for more grid storage is to use the battery of electric vehicles as a…

Systems and Control · Electrical Eng. & Systems 2025-12-18 Sabri El Amrani , Thibaut Horel , Saurabh Vaishampayan , Maryam Kamgarpour , Munther A. Dahleh

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…

The rapid adoption of electric vehicles (EVs) in modern transport systems has made energy-aware routing a critical task in their successful integration, especially within large-scale transport networks. In cases where an EV's remaining…

Artificial Intelligence · Computer Science 2026-03-30 Saman Ahmadi , Guido Tack , Daniel Harabor , Philip Kilby , Mahdi Jalili

This paper details a new algorithm to solve the shortest path problem in valued graphs. Its complexity is $O(D \log v)$ where $D$ is the graph diameter and $v$ its number of vertices. This complexity has to be compared to the one of the…

Data Structures and Algorithms · Computer Science 2007-05-23 Michel Koskas

An optimization problem is at the heart of many robotics estimating, planning, and optimum control problems. Several attempts have been made at model-based multi-robot localization, and few have formulated the multi-robot collaborative…

Robotics · Computer Science 2022-10-05 Ehsan Latif , Ramviyas Parasuraman

This work addresses a route planning problem constrained by a bus road network that includes the schedules of all buses. Given a query with a starting bus stop and a set of Points of Interest (POIs) to visit, our goal is to find an optimal…

Databases · Computer Science 2025-12-30 Simu Liu , Kailin Jiao , Junping Du , Yawen Li , Zhe Xue , Xiaoyang Sean Wang , Ziqiang Yu , Yunchuan Shi

This work presents a maximum entropy principle based algorithm for solving minimum multiway $k$-cut problem defined over static and dynamic {\em digraphs}. A multiway $k$-cut problem requires partitioning the set of nodes in a graph into…

Optimization and Control · Mathematics 2019-07-23 Mayank Baranwal , Amber Srivastava , Srinivasa Salapaka

Electric, intelligent, and network are the most important future development directions of automobiles. Intelligent electric vehicles have shown great potentials to improve traffic mobility and reduce emissions, especially at unsignalized…

Optimization and Control · Mathematics 2021-04-12 Chaoyi Chen , Qing Xu , Mengchi Cai , Jiawei Wang , Biao Xu , Xiangbin Wu , Jianqiang Wang , Keqiang Li , Chunyu Qi

Maintaining grid stability amid widespread electric vehicle (EV) adoption is vital for sustainable transportation. Traditional optimization methods and Reinforcement Learning (RL) approaches often struggle with the high dimensionality and…

Systems and Control · Electrical Eng. & Systems 2025-02-06 Stavros Orfanoudakis , Peter Palensky , Pedro P. Vergara

The problem of finding the shortest path in a graph G(V, E) has been widely studied. However, in many applications it is necessary to compute an arbitrary number of them, k. Even though the problem has raised a lot of interest from…

Data Structures and Algorithms · Computer Science 2024-08-16 Carlos Linares López , Ian Herman

Finding the shortest path in a graph has applications to a wide range of optimization problems. However, algorithmic methods scale with the size of the graph in terms of time and energy. We propose a method to solve the shortest path…

Emerging Technologies · Computer Science 2018-12-19 Alice Mizrahi , Thomas Marsh , Brian Hoskins , M. D. Stiles