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We introduce an extension of the Optimal Transport problem when multiple costs are involved. Considering each cost as an agent, we aim to share equally between agents the work of transporting one distribution to another. To do so, we…

Machine Learning · Statistics 2021-02-26 Meyer Scetbon , Laurent Meunier , Jamal Atif , Marco Cuturi

Ride-sharing can reduce traffic congestion and thus reduce gas emissions and save travel time. However, transportation system with ride-sharing is currently inefficient due to low occupancy rate, high travel demand and some other factors.…

Data Structures and Algorithms · Computer Science 2019-01-24 Zeren Tan

System optimum (SO) routing, wherein the total travel time of all users is minimized, is a holy grail for transportation authorities. However, SO routing may discriminate against users who incur much larger travel times than others to…

Systems and Control · Electrical Eng. & Systems 2022-02-10 Devansh Jalota , Kiril Solovey , Matthew Tsao , Stephen Zoepf , Marco Pavone

Current transit suffers from an evident inequity: the level of service of transit in suburbs is much less satisfying than in city centers. As a consequence, private cars are still the dominant transportation mode for suburban people, which…

Computers and Society · Computer Science 2022-10-04 Amirhesam Badeanlou , Andrea Araldo , Marco Diana , Vincent Gauthier

Consider a graph $G = (V, E)$ and some commuters, each specified by a tuple $(u, v, b)$ consisting of two nodes in the graph $u, v \in V$ and a non-negative real number $b$, specifying their budget. The goal is to find a pricing function…

Data Structures and Algorithms · Computer Science 2025-02-18 Andrei Constantinescu , Andrzej Turko , Roger Wattenhofer

Motivated by real-world applications, we study the fair allocation of graphical resources, where the resources are the vertices in a graph. Upon receiving a set of resources, an agent's utility equals the weight of a maximum matching in the…

Computer Science and Game Theory · Computer Science 2022-12-05 Zheng Chen , Bo Li , Minming Li , Guochuan Zhang

With rapid population growth and urban development, traffic congestion has become an inescapable issue, especially in large cities. Many congestion reduction strategies have been proposed in the past, ranging from roadway extension to…

Optimization and Control · Mathematics 2022-04-18 Ali Ghafelebashi , Meisam Razaviyayn , Maged Dessouky

The increasing rate of urbanization has added pressure on the already constrained transportation networks in our communities. Ride-sharing platforms such as Uber and Lyft are becoming a more commonplace, particularly in urban environments.…

Computer Science and Game Theory · Computer Science 2018-03-01 Chinmaya Samal , Liyuan Zheng , Fangzhou Sun , Lillian J. Ratliff , Abhishek Dubey

We consider the line planning problem in public transport in the Parametric City, an idealized model that captures typical scenarios by a (small) number of parameters. The Parametric City is rotation symmetric, but optimal line plans are…

Optimization and Control · Mathematics 2022-01-25 Berenike Masing , Niels Lindner , Ralf Borndörfer

Who benefits from expanding transport networks? While designed to improve mobility, such interventions can also create inequality. In this paper, we show that disparities arise not only from the structure of the network itself but also from…

Computer Science and Game Theory · Computer Science 2026-02-02 Dimitris Michailidis , Sennay Ghebreab , Fernando P. Santos

Whilst optimal transport (OT) is increasingly being recognized as a powerful and flexible approach for dealing with fairness issues, current OT fairness methods are confined to the use of discrete OT. In this paper, we leverage recent…

Machine Learning · Computer Science 2021-01-07 Silvia Chiappa , Aldo Pacchiano

We develop theoretical foundations and practical algorithms for vehicle routing with time-dependent travel times. We also provide new benchmark instances and experimental results. First, we study basic operations on piecewise linear arrival…

Data Structures and Algorithms · Computer Science 2024-03-26 Jannis Blauth , Stephan Held , Dirk Müller , Niklas Schlomberg , Vera Traub , Thorben Tröbst , Jens Vygen

In this paper, we make a first attempt to incorporate both commuting demand and transit network connectivity in bus route planning (CT-Bus), and formulate it as a constrained optimization problem: planning a new bus route with k edges over…

Databases · Computer Science 2021-04-06 Sheng Wang , Yuan Sun , Christopher Musco , Zhifeng Bao

School bus planning is usually divided into routing and scheduling due to the complexity of solving them concurrently. However, the separation between these two steps may lead to worse solutions with higher overall costs than that from…

Optimization and Control · Mathematics 2017-11-16 Ali Shafahi , Zhongxiang Wang , Ali Haghani

Methods for interactive evaluation of the functioning efficiency of the motor transport system for a large city based on the use of U-statistics methods has been formalized. To optimize this technique, effective algorithmic constructions…

Physics and Society · Physics 2023-01-02 O. D. Polishchuk , M. S. Yadzhak

Public transit systems in urban areas usually require large state subsidies, primarily due to high fare evasion rates. In this paper, we study new models for optimizing fare inspection strategies in transit networks based on bilevel…

Computer Science and Game Theory · Computer Science 2014-05-13 José R. Correa , Tobias Harks , Vincent J. C. Kreuzen , Jannik Matuschke

We study fair resource allocation under a connectedness constraint wherein a set of indivisible items are arranged on a path and only connected subsets of items may be allocated to the agents. An allocation is deemed fair if it satisfies…

Computer Science and Game Theory · Computer Science 2021-01-27 Neeldhara Misra , Chinmay Sonar , P. R. Vaidyanathan , Rohit Vaish

Fair queuing is becoming increasingly prevalent in the internet and has been shown to improve performance in many circumstances. Performance could be improved even more if endpoints could detect the presence of fair queuing on a certain…

Networking and Internet Architecture · Computer Science 2023-06-12 Maximilian Bachl

Research on the operation of mobility systems so far has mostly focused on minimizing cost-centered metrics such as average travel time, distance driven, and operational costs. Whilst capturing economic indicators, such metrics do not…

Systems and Control · Electrical Eng. & Systems 2024-05-29 Mauro Salazar , Sara Betancur Giraldo , Fabio Paparella , Leonardo Pedroso

Providing transport users and operators with accurate forecasts on travel times is challenging due to a highly stochastic traffic environment. Public transport users are particularly sensitive to unexpected waiting times, which negatively…

Applications · Statistics 2022-02-25 Hector Rodriguez-Deniz , Mattias Villani
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