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We consider the problem of controlling a large fleet of drones to deliver packages simultaneously across broad urban areas. To conserve energy, drones hop between public transit vehicles (e.g., buses and trams). We design a comprehensive…

Robotics · Computer Science 2021-01-06 Shushman Choudhury , Kiril Solovey , Mykel J. Kochenderfer , Marco Pavone

We consider a single server queue that serves a finite population of $n$ customers that will enter the queue (require service) only once, also known as the $\Delta_{(i)}/G/1$ queue. This paper presents a method for analyzing heavy-traffic…

Probability · Mathematics 2015-12-01 Gianmarco Bet , Remco van der Hofstad , Johan S. H. van Leeuwaarden

We study a fundamental cooperative message-delivery problem on the plane. Assume $n$ robots which can move in any direction, are placed arbitrarily on the plane. Robots each have their own maximum speed and can communicate with each other…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-09-28 Jared Coleman , Evangelos Kranakis , Danny Krizanc , Oscar Morales-Ponce

Travel time estimation is a critical task, useful to many urban applications at the individual citizen and the stakeholder level. This paper presents a novel hybrid algorithm for travel time estimation that leverages historical and sparse…

Machine Learning · Computer Science 2023-01-16 Nikolaos Zygouras , Nikolaos Panagiotou , Yang Li , Dimitrios Gunopulos , Leonidas Guibas

This paper addresses the on-demand meeting-point-based feeder electric bus routing and charging scheduling problem under charging synchronization constraints. The problem considered exhibits the structure of the location routing problem,…

Optimization and Control · Mathematics 2024-02-12 Tai-Yu Ma , Yumeng Fang , Richard D. Connors , Francesco Viti , Haruko Nakao

We consider the problem of locating a facility to serve a set of agents located along a line. The Nash welfare objective function, defined as the product of the agents' utilities, is known to provide a compromise between fairness and…

Computer Science and Game Theory · Computer Science 2023-10-09 Alexander Lam , Haris Aziz , Toby Walsh

We studied the Fault-Tolerant Facility Placement problem (FTFP) which generalizes the uncapacitated facility location problem (UFL). In FTFP, we are given a set F of sites at which facilities can be built, and a set C of clients with some…

Data Structures and Algorithms · Computer Science 2011-08-30 Li Yan , Marek Chrobak

Municipal solid waste management is a paramount activity in modern cities due to the environmental, social and economic problems that can arise when mishandled. In this work, the sequencing of micro-routes in the Argentine city of Bah\'ia…

Optimization and Control · Mathematics 2024-03-29 SofÍa Molfese , Diego Rossit , Mariano Frutos , Antonella Cavallin

Path-finding is one of the most popular subjects in the field of computer science. Pathfinding strategies determine a path from a given coordinate to another. The focus of this paper is on finding the optimal path for the bus transportation…

Physics and Society · Physics 2023-09-20 Soroor Malekmohammadi faradunbeh , Hongle Li , Mangkyu Kang , Choongjae Iim

A parallel server system is a stochastic processing network with applications in manufacturing, supply chain, ride-hailing, call centers, etc. Heterogeneous customers arrive in the system, and only a subset of servers can serve any customer…

Networking and Internet Architecture · Computer Science 2023-01-10 Sushil Mahavir Varma , Siva Theja Maguluri

In this note, we consider the capacitated facility location problem when the transportation costs of the instance satisfy the Monge property. We show that a straightforward dynamic program finds the optimal solution when the demands are…

Data Structures and Algorithms · Computer Science 2020-01-10 Alice Paul , David P. Williamson

Facility location is a prominent optimization problem that has inspired a large quantity of both theoretical and practical studies in combinatorial optimization. Although the problem has been investigated under various settings reflecting…

Data Structures and Algorithms · Computer Science 2019-07-09 Kangsan Kim , Yongho Shin , Hyung-Chan An

The potential of integrating public transit with ridesharing includes shorter travel time for commuters and higher occupancy rate of personal vehicles and public transit ridership. In this paper, we describe a centralized transit system…

Data Structures and Algorithms · Computer Science 2023-08-21 Qian-Ping Gu , Jiajian Leo Liang

Spurred by the growth of transportation network companies and increasing data capabilities, vehicle routing and ride-matching algorithms can improve the efficiency of private transportation services. However, existing routing solutions do…

Systems and Control · Computer Science 2018-10-25 Ian Schneider , Jun Jie Joseph Kuan , Mardavij Roozbehani , Munther Dahleh

The increase in congestion in surface traffic, airborne pollution, and other environmental issues have motivated the transit authorities to promote public transit worldwide. In big cities and large metropolitan areas, adding new rapid…

Optimization and Control · Mathematics 2025-12-09 Natividad González-Blanco , Antonio J. Lozano , Vladimir Marianov , Juan A. Mesa

Mass transit systems are experiencing increasing congestion in many cities. The schedule-based transit assignment problem (STAP) involves a joint choice model for departure times and routes, defining a space-time path in which passengers…

Optimization and Control · Mathematics 2025-05-29 Xia Zhou , Mark Wallace , Daniel D. Harabor , Zhenliang Ma

We consider preprocessing a set $S$ of $n$ points in convex position in the plane into a data structure supporting queries of the following form: given a point $q$ and a directed line $\ell$ in the plane, report the point of $S$ that is…

Computational Geometry · Computer Science 2017-10-16 Boris Aronov , Prosenjit Bose , Erik D. Demaine , Joachim Gudmundsson , John Iacono , Stefan Langerman , Michiel Smid

We study the problem of planning routes in road networks when certain streets or areas are closed at certain times. For heavy vehicles, such areas may be very large since many European countries impose temporary driving bans during the…

Data Structures and Algorithms · Computer Science 2020-04-21 Alexander Kleff , Frank Schulz , Jakob Wagenblatt , Tim Zeitz

The setting for the online transportation problem is a metric space $M$, populated by $m$ parking garages of varying capacities. Over time cars arrive in $M$, and must be irrevocably assigned to a parking garage upon arrival in a way that…

Data Structures and Algorithms · Computer Science 2025-10-21 Stephen Arndt , Benjamin Moseley , Kirk Pruhs , Marc Uetz

The facility location problem (FLP) is a classical combinatorial optimization challenge aimed at strategically laying out facilities to maximize their accessibility. In this paper, we propose a reinforcement learning method tailored to…

Machine Learning · Computer Science 2024-09-09 Hongyuan Su , Yu Zheng , Jingtao Ding , Depeng Jin , Yong Li