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In the problem of online load balancing on uniformly related machines with bounded migration, jobs arrive online one after another and have to be immediately placed on one of a given set of machines without knowledge about jobs that may…

Data Structures and Algorithms · Computer Science 2022-09-05 Marten Maack

We consider an increasingly popular demand-response scenario where a user schedules the flexible electric vehicle (EV) charging load in response to real-time electricity prices. The objective is to minimize the total charging cost with user…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Hanling Yi , Qiulin Lin , Minghua Chen

We study the performance of general dynamic matching models. This model is defined by a connected graph, where nodes represent the class of items and the edges the compatibilities between items. Items of different classes arrive one by one…

Computer Science and Game Theory · Computer Science 2020-09-22 Arnaud Cadas , Josu Doncel , Jean-Michel Fourneau , Ana Bušić

Current navigation systems conflate time-to-drive with the true time-to-arrive by ignoring parking search duration and the final walking leg. Such underestimation can significantly affect user experience, mode choice, congestion, and…

Systems and Control · Electrical Eng. & Systems 2026-02-03 Cameron Hickert , Sirui Li , Zhengbing He , Cathy Wu

This paper links matching markets with aligned preferences to optimal transport theory. We show that stability, efficiency, and fairness emerge as solutions to a parametric family of optimal transport problems. The parameter reflects…

Theoretical Economics · Economics 2025-03-17 Federico Echenique , Joseph Root , Fedor Sandomirskiy

It can be profitable for vehicle service providers to set service prices based on users' travel demand on different origin-destination pairs. The prior studies on the spatial pricing of vehicle service rely on the assumption that providers…

Computer Science and Game Theory · Computer Science 2020-07-08 Haoran Yu , Ermin Wei , Randall A. Berry

We study the problem of servicing a set of ride requests by dispatching a set of shared vehicles, which is faced by ridesharing companies such as Uber and Lyft. Solving this problem at a large scale might be crucial in the future for…

Data Structures and Algorithms · Computer Science 2021-06-21 Valentin Buchhold , Peter Sanders , Dorothea Wagner

We study a representation of a problem that appears in numerous transport systems: $N$ servers distributed over a given space (e.g., cars on an urban network), receive random requests from arriving users who get assigned to the closest…

Optimization and Control · Mathematics 2026-02-23 Andrés Fielbaum , Roberto Cominetti , José Correa

We study the matching of jobs to workers in a queue, e.g. a ridesharing platform dispatching drivers to pick up riders at an airport. Under FIFO dispatching, the heterogeneity in trip earnings incentivizes drivers to cherry-pick, increasing…

Computer Science and Game Theory · Computer Science 2021-11-23 Francisco Castro , Hongyao Ma , Hamid Nazerzadeh , Chiwei Yan

We extend the Mobile Server Problem, introduced in SPAA'17, to a model where k identical mobile resources, here named servers, answer requests appearing at points in the Euclidean space. In order to reduce communication costs, the positions…

Data Structures and Algorithms · Computer Science 2019-07-24 Björn Feldkord , Till Knollmann , Manuel Malatyali , Friedhelm Meyer auf der Heide

Let $A$ and $B$ be two point sets in the plane of sizes $r$ and $n$ respectively (assume $r \leq n$), and let $k$ be a parameter. A matching between $A$ and $B$ is a family of pairs in $A \times B$ so that any point of $A \cup B$ appears in…

Data Structures and Algorithms · Computer Science 2019-03-25 Pankaj K. Agarwal , Hsien-Chih Chang , Allen Xiao

The online weighted matching problem is a fundamental problem in machine learning due to its numerous applications. Despite many efforts in this area, existing algorithms are either too slow or don't take $\mathrm{deadline}$ (the longest…

Data Structures and Algorithms · Computer Science 2025-02-19 Zhao Song , Weixin Wang , Chenbo Yin , Junze Yin

We give new approximation algorithms for the submodular joint replenishment problem and the inventory routing problem, using an iterative rounding approach. In both problems, we are given a set of $N$ items and a discrete time horizon of…

Data Structures and Algorithms · Computer Science 2019-12-03 Thomas Bosman , Neil Olver

We consider the online traveling salesman problem on the real line (OLTSPL) in which a salesman begins at the origin, traveling at no faster than unit speed along the real line, and wants to serve a sequence of requests, arriving online…

Data Structures and Algorithms · Computer Science 2025-07-10 Pei-Chuan Chen , Erik D. Demaine , Chung-Shou Liao , Hao-Ting Wei

I introduce a stability notion, dynamic stability, for two-sided dynamic matching markets where (i) matching opportunities arrive over time, (ii) matching is one-to-one, and (iii) matching is irreversible. The definition addresses two…

Theoretical Economics · Economics 2021-03-01 Laura Doval

This study investigates real-time assignment decisions for extraboard transit operators, who are responsible for covering open work due to unexpected events such as driver absenteeism. Efficient usage of extraboard operators is critical as…

Optimization and Control · Mathematics 2026-05-07 Jilin Song , Amer Shalaby , Merve Bodur

Matching and pickup processes are core features of ride-sourcing services. Previous studies have adopted abundant analytical models to depict the two processes and obtain operational insights; while the goodness of fit between models and…

Applications · Statistics 2022-09-14 Zheng Zhu , Meng Xu , Yining Di , Xiqun Chen , Jingru Yu

For on-demand dynamic ride-pooling services, e.g., Uber Pool and Didi Pinche, a well-designed vehicle dispatching strategy is crucial for platform profitability and passenger experience. Most existing dispatching strategies overlook…

Systems and Control · Electrical Eng. & Systems 2024-03-12 Xiaolei Wang , Chen Yang , Yuzhen Feng , Luohan Hu , Zhengbing He

In this work, we study a scenario where a publisher seeks to maximize its total revenue across two sales channels: guaranteed contracts that promise to deliver a certain number of impressions to the advertisers, and spot demands through an…

Computer Science and Game Theory · Computer Science 2021-07-16 Melika Abolhassani , Hossein Esfandiari , Yasamin Nazari , Balasubramanian Sivan , Yifeng Teng , Creighton Thomas

Ride-hailing is a sustainable transportation paradigm where riders access door-to-door traveling services through a mobile phone application, which has attracted a colossal amount of usage. There are two major planning tasks in a…

Machine Learning · Computer Science 2023-03-28 Dacheng Wen , Yupeng Li , Francis C. M. Lau
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