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This article describes a set of methods for quickly computing the solution to the regularized optimal transport problem. It generalizes and improves upon the widely-used iterative Bregman projections algorithm (or Sinkhorn--Knopp…

Numerical Analysis · Mathematics 2021-04-02 Alexis Thibault , Lénaïc Chizat , Charles Dossal , Nicolas Papadakis

We study the solution of a large-scale transportation problem with an additional constraint on the sparsity of inbound flows. Such problems arise in the management of inventory for online retailers that operate with many order fulfillment…

Optimization and Control · Mathematics 2014-02-12 Annie I. Chen , Stephen C. Graves

High-speed railway stations are crucial junctions in high-speed railway networks. Compared to operations on the tracks between stations, trains have more routing possibilities within stations. As a result, track allocation at a station is…

Optimization and Control · Mathematics 2024-05-03 Qin Zhang , Richard Martin Lusby , Pan Shang , Chang Liu , Wenqian Liu

This paper addresses stochastic charger location and allocation problems under queue congestion for last-mile delivery using electric vehicles (EVs). The objective is to decide where to open charging stations and how many chargers of each…

Optimization and Control · Mathematics 2026-02-17 Waquar Kaleem , Taner Cokyasar , Jeffrey Larson , Omer Verbas , Tanveer Hossain Bhuiyan , Anirudh Subramanyam

We solve large-scale mixed-integer linear programs (MILPs) via distributed asynchronous saddle point computation. This is motivated by the MILPs being able to model problems in multi-agent autonomy, e.g., task assignment problems and…

Optimization and Control · Mathematics 2022-11-23 Luke Fina , Matthew Hale

We consider an important problem in the shipping industry known as the liner shipping fleet repositioning problem (LSFRP). We examine a public data set for this problem including many instances which have not previously been solved to…

Optimization and Control · Mathematics 2016-03-09 Robin H. Pearce , Alexis Tyler , Michael Forbes

Transportation occupies one-third of the amount in the logistics costs, and accordingly transportation systems largely influence the performance of the logistics system. This work presents an adaptive data-driven innovative modular approach…

Artificial Intelligence · Computer Science 2020-01-08 Emir Zunic , Dzenana Donko , Emir Buza

Efficient path planning for autonomous mobile robots is a critical problem across numerous domains, where optimizing both time and energy consumption is paramount. This paper introduces a novel methodology that considers the dynamic…

Robotics · Computer Science 2025-03-17 Víctor C. da S. Campos , Armando A. Neto , Douglas G. Macharet

Packing and vehicle routing problems play an important role in the area of supply chain management. In this paper, we introduce a non-linear knapsack problem that occurs when packing items along a fixed route and taking into account travel…

Data Structures and Algorithms · Computer Science 2015-04-16 Sergey Polyakovskiy , Frank Neumann

The method of fragments was recently proposed, and its effectiveness has been empirically shown for three specialised pickup and delivery problems. We propose an enhanced fragment algorithm that for the first time, effectively solves the…

Optimization and Control · Mathematics 2024-11-21 Lucas Sippel , Michael Forbes

The paper addresses the Vehicle Relocation Problem in free-floating car-sharing services by presenting a solution focused on strategies for repositioning vehicles and transferring personnel with the use of scooters. Our method begins by…

Machine Learning · Computer Science 2025-11-12 Piotr Szwed , Paweł Skrzynski , Jarosław Wąs

Vehicle routing problems (VRPs) form a class of combinatorial problems with wide practical applications. While previous heuristic or learning-based works achieve decent solutions on small problem instances of up to 100 cities, their…

Machine Learning · Computer Science 2021-10-29 Sirui Li , Zhongxia Yan , Cathy Wu

Motion planning for manipulators under task space constraints is difficult as it constrains the joint configurations to always lie on an implicitly defined manifold. It is possible to view task constrained motion planning as an optimization…

Robotics · Computer Science 2018-03-13 Arun Kumar Singh , Reza Ghabcheloo , Andreas Muller , Harit Pandya

We study the strategic decision-making problem of assigning time windows to customers in the context of vehicle routing applications that are affected by operational uncertainty. This problem, known as the Time Window Assignment Vehicle…

Optimization and Control · Mathematics 2018-10-11 Anirudh Subramanyam , Akang Wang , Chrysanthos E. Gounaris

This work is motivated by solving a problem faced by big agriculture companies implementing precision agriculture operations for spraying practices using two types of operators, namely a tender tanker and a fleet of sprayers. We model this…

Optimization and Control · Mathematics 2023-12-18 Faisal Alkaabneh

We consider multi-agent transport task problems where, e.g. in a factory setting, items have to be delivered from a given start to a goal pose while the delivering robots need to avoid collisions with each other on the floor. We introduce a…

Robotics · Computer Science 2020-02-07 Christian Henkel , Jannik Abbenseth , Marc Toussaint

We study a dynamic allocation problem that arises in various scenarios where mobile clients joining and leaving the system have to communicate with static stations via radio transmissions. Restrictions are a maximum delay, or laxity,…

Data Structures and Algorithms · Computer Science 2018-03-06 Austin Halper , Miguel A. Mosteiro , Yulia Rossikova , Prudence W. H. Wong

Uncertain dynamic obstacles, such as pedestrians or vehicles, pose a major challenge for optimal robot navigation with safety guarantees. Previous work on motion planning has followed two main strategies to provide a safe bound on an…

We consider a probabilistic model for large-scale task allocation problems for multi-agent systems, aiming to determine an optimal deployment strategy that minimizes the overall transport cost. Specifically, we assign transportation agents…

Systems and Control · Electrical Eng. & Systems 2025-03-13 Anqi Dong , Karl H. Johansson , Johan Karlsson

Telecommunication networks frequently face technological advancements and need to upgrade their infrastructure. Adapting legacy networks to the latest technology requires synchronized technicians responsible for migrating the equipment. The…

Optimization and Control · Mathematics 2023-05-11 Maryam Daryalal , Hamed Pouya