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Energy consumption is the major contributor associated with large and growing transportation cost in logistics. Optimal vehicle routing approaches can provide solutions to reduce their operating costs and address implications on energy.…

Optimization and Control · Mathematics 2020-01-24 Harshavardhan Desai , Ben Remer , Behdad Chalaki , Liuhui Zhao , Andreas Malikopoulos , Jackeline Rios-Torres

The vehicle routing problem has great importance and application in transportation and supply chain management. In this case, there are several supply requests in a transportation network. The main goal is to allocate customers to available…

Optimization and Control · Mathematics 2023-10-10 H. Bigdeli , S. M. S. Mirdamadi , A. Deaconu , J. Tayyebi

This paper studies the problem of optimizing the train formation plan and traffic routing (TFP&TR) simultaneously. Based on the previous research of TFP&TR with determinate parameters, we consider the fluctuation of flows and associate the…

Optimization and Control · Mathematics 2021-11-10 Boliang Lin , Zhenyu Wang , Yinan Zhao

The problem of maximizing the probability of two trucks being coordinated to merge into a platoon on a highway is considered. Truck platooning is a promising technology that allows heavy vehicles to save fuel by driving with small…

Systems and Control · Computer Science 2017-05-12 Sebastian van de Hoef , Karl H. Johansson , Dimos V. Dimarogonas

This work investigates several aspects related to quantitative stability in optimal transport, as well as uniqueness of the dual transport problem. Our main contributions are as follows. Chapter 1: Observations regarding the quantitative…

Functional Analysis · Mathematics 2025-10-22 William Ford

We consider the optimal transport problem over convex costs arising from optimal control of linear time-invariant(LTI) systems when the initial and target measures are assumed to be supported on the set of equilibrium points of the LTI…

Optimization and Control · Mathematics 2023-12-19 Karthik Elamvazhuthi , Matt Jacobs

We consider the coordinated vehicle platooning problem on a tree network with time constraints while the routes of vehicles are given. The problem is to coordinate the departure time of each vehicle to enable platoon formation hence…

Optimization and Control · Mathematics 2024-11-25 Fengqiao Luo

This paper aims to introduce a mathematical model to solve the time-dependent electric vehicles routing problem in shared travels. Shared mobility has gained significance recently due to its contribution to the alleviation of traffic…

Optimization and Control · Mathematics 2026-04-30 Alireza Yazdiani , Shayan Bafandkar , Amir Elmi , Yousef Shafahi

We consider emergent situations that require transporting individuals from their locations to a facility using a single capacitated vehicle, where transportation duration has a negative impact on the individuals. A dispatcher determines…

Optimization and Control · Mathematics 2024-07-02 Bahar Cavdar , Joseph Geunes , Xiaofeng Nie , Yue Wang

This paper considers the problem of assigning multiple mobile robots to goals on transport networks with uncertain information about travel times. Our aim is to produce optimal assignments, such that the average waiting time at destinations…

Robotics · Computer Science 2019-04-23 Amanda Prorok

Soft Constraint Logic Programming is a natural and flexible declarative programming formalism, which allows to model and solve real-life problems involving constraints of different types. In this paper, after providing a slightly more…

Artificial Intelligence · Computer Science 2012-12-11 Giacoma Valentina Monreale , Ugo Montanari , Nicklas Hoch

While multimodal mobility systems have the potential to bring many benefits to travelers, drivers, the environment, and traffic congestion, such systems typically involve multiple non-cooperative decision-makers who may selfishly optimize…

Methodology · Statistics 2026-01-08 Md Nafees Fuad Rafi , Zhaomiao Guo

Mobility-on-Demand (MoD) services have been an active research topic in recent years. Many studies focused on developing control algorithms to supply efficient services. To cope with a large search space to solve the underlying vehicle…

Systems and Control · Electrical Eng. & Systems 2023-08-11 Fynn Wolf , Roman Engelhardt , Yunfei Zhang , Florian Dandl , Klaus Bogenberger

We study the semi-discrete formulation of one-dimensional partial optimal transport with quadratic cost, where a probability density is partially transported to a finite sum of Dirac masses of smaller total mass. This problem arises…

Optimization and Control · Mathematics 2025-09-11 Adrien Cances , Hugo Leclerc

In this work, a cost-efficient space-time adaptive algorithm based on the Dual Weighted Residual (DWR) method is developed and studied for a coupled model problem of flow and convection-dominated transport. Key ingredients are a multirate…

Numerical Analysis · Mathematics 2024-07-19 Marius Paul Bruchhäuser , Markus Bause

Collaborative vehicle routing occurs when carriers collaborate through sharing their transportation requests and performing transportation requests on behalf of each other. This achieves economies of scale, thus reducing cost, greenhouse…

Machine Learning · Computer Science 2023-10-27 Stephen Mak , Liming Xu , Tim Pearce , Michael Ostroumov , Alexandra Brintrup

Electrifying heavy-duty trucks offers a substantial opportunity to curtail carbon emissions, advancing toward a carbon-neutral future. However, the inherent challenges of limited battery energy and the sheer weight of heavy-duty trucks lead…

Systems and Control · Electrical Eng. & Systems 2024-05-27 Linyu Liu , Zhen Dai , Shiji Song , Xiaocheng Li , Guanting Chen

We propose and analyze a modified damped Newton algorithm to solve the semi-discrete optimal transport with storage fees. We prove global linear convergence for a wide range of storage fee functions, the main assumption being that each…

Optimization and Control · Mathematics 2020-07-09 Mohit Bansil

Microscopic road-network weights represent fine-grained, time-varying traffic conditions obtained from individual vehicles. An example is travel speeds associated with road segments as vehicles traverse them. These weights support tasks…

Machine Learning · Computer Science 2026-04-01 Yan Lin , Jilin Hu , Shengnan Guo , Christian S. Jensen , Youfang Lin , Huaiyu Wan

This paper presents a widely applicable approach to solving (multi-marginal, martingale) optimal transport and related problems via neural networks. The core idea is to penalize the optimization problem in its dual formulation and reduce it…

Optimization and Control · Mathematics 2019-01-28 Stephan Eckstein , Michael Kupper