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Autonomous ride-hailing platforms must strategically position idle robotaxis to minimize the wait times of prospective riders. We formalize this as the \emph{robotaxi placement problem} ($k$-RP). Given a finite metric space and a demand…

Data Structures and Algorithms · Computer Science 2026-05-18 Ioannis Caragiannis , Kostas Kollias , Mohammad Roghani , Aaron Schild , Ali Kemal Sinop

Ride-sharing is an essential aspect of modern urban mobility. In this paper, we consider a classical problem in ride-sharing - the Multi-Vehicle Dial-a-Ride Problem (Multi-Vehicle DaRP). Given a fleet of vehicles with a fixed capacity…

Data Structures and Algorithms · Computer Science 2023-04-25 Kelin Luo , Alexandre M. Florio , Syamantak Das , Xiangyu Guo

Random projection algorithm is an iterative gradient method with random projections. Such an algorithm is of interest for constrained optimization when the constraint set is not known in advance or the projection operation on the whole…

Optimization and Control · Mathematics 2013-05-02 Soomin Lee , Angelia Nedich

This paper considers a joint pollution-routing and speed optimization problem (PRP-SO) where fuel costs and $\textit{CO}_2e$ emissions depend on the vehicle speed, arc payloads, and road grades. We present two methods, one approximate and…

Optimization and Control · Mathematics 2021-05-20 David Lai , Yasel Costa , Emrah Demir , Alexandre Florio , Tom Van Woensel

Motivated by the promising advances of deep-reinforcement learning (DRL) applied to cooperative multi-agent systems we propose a model and learning procedure to solve the Capacitated Multi-Vehicle Routing Problem (CMVRP) with fixed fleet…

Neural and Evolutionary Computing · Computer Science 2019-12-10 Jose Manuel Vera , Andres G. Abad

The optimal transport problem has many applications in machine learning, physics, biology, economics, etc. Although its goal is very clear and mathematically well-defined, finding its optimal solution can be challenging for large datasets…

Numerical Analysis · Mathematics 2021-12-14 Roozbeh Yousefzadeh

The Ride-Pool Matching Problem (RMP) is central to on-demand ride-pooling services, where vehicles must be matched with multiple requests while adhering to service constraints such as pickup delays, detour limits, and vehicle capacity. Most…

Robotics · Computer Science 2025-03-12 Hao Jiang , Yixing Xu , Pradeep Varakantham

Two multivehicle routing problems are considered in the framework that a visit to a location must take place during a specific time window in order to be counted and all time windows are the same length. In the first problem, the goal is to…

Data Structures and Algorithms · Computer Science 2011-01-21 Greg N. Frederickson , Barry Wittman

We study the revenue maximization problem with an imprecisely estimated distribution of a single buyer or several independent and identically distributed buyers given that this estimation is not far away from the true distribution. We use…

Computer Science and Game Theory · Computer Science 2019-03-05 Yingkai Li , Pinyan Lu , Haoran Ye

We introduce in this paper a new variant of a location routing problem, to decide, the number and location of drop-off points to install based on the demands of a set of pick-up points, according to a given set-up budget for installing…

Optimization and Control · Mathematics 2025-05-09 Maria Albareda-Sambola , Víctor Blanco , Yolanda Hinojosa

Despite the extensive research efforts and the remarkable results obtained on Vehicle Routing Problems (VRP) by using algorithms proposed by the Machine Learning community that are partially or entirely based on data-driven analysis, most…

Machine Learning · Computer Science 2021-09-30 Luca Accorsi , Andrea Lodi , Daniele Vigo

Location Routing is a fundamental planning problem in logistics, in which strategic location decisions on the placement of facilities (depots, distribution centers, warehouses etc.) are taken based on accurate estimates of operational…

Discrete Mathematics · Computer Science 2021-08-06 Felipe Carrasco Heine , Antonia Demleitner , Jannik Matuschke

We introduce an efficient computational framework for solving a class of multi-marginal martingale optimal transport problems, which includes many robust pricing problems of large financial interest. Such problems are typically…

Computational Finance · Quantitative Finance 2025-03-21 Linn Engström , Sigrid Källblad , Johan Karlsson

Ready Mixed Concrete Delivery Problem (RMCDP) is a multi-objective multi-constraint dynamic combinatorial optimization problem. From the operational research prospective, it is a real life logistic problem that is hard to be solved with…

Data Structures and Algorithms · Computer Science 2018-10-29 Mohamed Masoud , Saeid Belkasim

This paper studies the problem of control strategy synthesis for dynamical systems with differential constraints to fulfill a given reachability goal while satisfying a set of safety rules. Particular attention is devoted to goals that…

We consider the problem of optimally executing an order involving multiple crypto-assets, sometimes called tokens, on a network of multiple constant function market makers (CFMMs). When we ignore the fixed cost associated with executing an…

Optimization and Control · Mathematics 2022-04-12 Guillermo Angeris , Tarun Chitra , Alex Evans , Stephen Boyd

This paper addresses an Electric Vehicle Relocation Problem (E-VReP), in one-way carsharing systems, based on operators who move through folding bicycles between a delivery request and one of pickup. In order to deal with its economical…

Optimization and Control · Mathematics 2015-04-10 Maurizio Bruglieri , Ferdinando Pezzella , Ornella Pisacane

The Fleet Size and Mix Vehicle Routing Problem (FSMVRP) is a prominent variant of the Vehicle Routing Problem (VRP), extensively studied in operations research and computational science. FSMVRP requires simultaneous decisions on fleet…

Artificial Intelligence · Computer Science 2026-01-01 Pengfu Wan , Jiawei Chen , Gangyan Xu

In this paper, we consider coordinated control of feeder vehicles for first and last mode transportation. The model is macroscopic with volumes of demands and supplies along with flows of vehicles. We propose a one-shot problem for…

Systems and Control · Electrical Eng. & Systems 2021-05-11 Subhajit Goswami , Pavankumar Tallapragada

Motivated by a problem posed by Aldous, our goal is to find the maximal-entropy win-martingale: In a sports game between two teams, the chance the home team wins is initially $x_0 \in (0,1)$ and finally 0 or 1. As an idealization we take a…

Probability · Mathematics 2023-07-04 Julio Backhoff-Veraguas , Mathias Beiglboeck
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