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Vascular networks are used across the kingdoms of life to transport fluids, nutrients and cellular material. A popular unifying idea for understanding the diversity and constraints of these networks is that the conduits making up the…

Optimization and Control · Mathematics 2017-09-13 Shyr-Shea Chang , Marcus Roper

The traffic assignment problem is essential for traffic flow analysis, traditionally solved using mathematical programs under the Equilibrium principle. These methods become computationally prohibitive for large-scale networks due to…

Machine Learning · Computer Science 2026-04-28 Mostafa Ameli , Sulthana Shams , Van Anh Le , Alexander Skabardonis

Several problems in machine learning are naturally expressed as the design and analysis of time-evolving probability distributions. This includes sampling via diffusion methods, optimizing the weights of neural networks, and analyzing the…

Optimization and Control · Mathematics 2026-05-28 Gabriel Peyré

In many urban areas of the developing world, piped water is supplied only intermittently, as valves direct water to different parts of the water distribution system at different times. The flow is transient, and may transition between…

Fluid Dynamics · Physics 2016-04-26 Anna M. Lieb , Chris H. Rycroft , Jon Wilkening

Data flow analysis and optimization is considered for homogeneous rectangular mesh networks. We propose a flow matrix equation which allows a closed-form characterization of the nature of the minimal time solution, speedup and a simple…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-30 Junwei Zhang , Yang Liu , Li Shi , Thomas G. Robertazzi

This paper introduces a new macroscopic perspective for simulating transportation networks. The idea is to look at the network as connected nodes. Each node sends an information package to its neighbors. Basically, the information package…

Dynamical Systems · Mathematics 2024-07-19 Omar Mansour , Tomer Toledo , Shadi Haj-Yahia , Wafa Elias

In this paper we consider random access wireless multi-hop mesh networks with multi-packet reception capabilities where multiple flows are forwarded to the gateways through node disjoint paths. We address the issue of aggregate…

Networking and Internet Architecture · Computer Science 2016-11-15 Manolis Ploumidis , Nikolaos Pappas , Apostolos Traganitis

Network management often relies on machine learning to make predictions about performance and security from network traffic. Often, the representation of the traffic is as important as the choice of the model. The features that the model…

Networking and Internet Architecture · Computer Science 2022-01-25 Francesco Bronzino , Paul Schmitt , Sara Ayoubi , Hyojoon Kim , Renata Teixeira , Nick Feamster

We explore the use of deep learning and deep reinforcement learning for optimization problems in transportation. Many transportation system analysis tasks are formulated as an optimization problem - such as optimal control problems in…

Machine Learning · Statistics 2018-06-15 Laura Schultz , Vadim Sokolov

This paper focuses on two commonly used path assignment policies for agents traversing a congested network: self-interested routing, and system-optimum routing. In the self-interested routing policy each agent selects a path that optimizes…

Multiagent Systems · Computer Science 2017-09-28 Guni Sharon , Michael Albert , Tarun Rambha , Stephen Boyles , Peter Stone

Routing optimization is a relevant problem in many contexts. Solving directly this type of optimization problem is often computationally unfeasible. Recent studies suggest that one can instead turn this problem into one of solving a…

Physics and Society · Physics 2020-12-11 Diego Baptista , Daniela Leite , Enrico Facca , Mario Putti , Caterina De Bacco

A multi-modal transport system is acknowledged to have robust failure tolerance and can effectively relieve urban congestion issues. However, estimating the impact of disruptions across multi-transport modes is a challenging problem due to…

When the underlying physical network layer in optimal network flow problems is a large graph, the associated optimization problem has a large set of decision variables. In this paper, we discuss how the cycle basis from graph theory can be…

Systems and Control · Computer Science 2017-06-06 Reza Asadi , Solmaz S. Kia

Multimodal transportation systems can be represented as time-resolved multilayer networks where different transportation modes connecting the same set of nodes are associated to distinct network layers. Their quantitative description became…

Physics and Society · Physics 2015-09-29 Laura Alessandretti , Márton Karsai , Laetitia Gauvin

We study multi-marginal optimal transport problems from a probabilistic graphical model perspective. We point out an elegant connection between the two when the underlying cost for optimal transport allows a graph structure. In particular,…

Optimization and Control · Mathematics 2020-06-26 Isabel Haasler , Rahul Singh , Qinsheng Zhang , Johan Karlsson , Yongxin Chen

How can a system designer exploit system-level knowledge to derive incentives to optimally influence social behavior? The literature on network routing contains many results studying the application of monetary tolls to influence behavior…

Computer Science and Game Theory · Computer Science 2019-07-25 Bryce L. Ferguson , Philip N. Brown , Jason R. Marden

This essay provides a comprehensive analysis of the optimization and performance evaluation of various routing algorithms within the context of computer networks. Routing algorithms are critical for determining the most efficient path for…

Networking and Internet Architecture · Computer Science 2024-02-27 Xunchi Ma

Multipathing in communication networks is gaining momentum due to its attractive features of increased reliability, throughput, fault tolerance, and load balancing capabilities. In particular, wireless environments and datacenters are…

Networking and Internet Architecture · Computer Science 2016-01-25 Sana Habib , Junaid Qadir , Anwaar Ali , Durdana Habib , Ming Li , Arjuna Sathiaseelan

We address the problem of optimal routing in overlay networks. An overlay network is constructed by adding new overlay nodes on top of a legacy network. The overlay nodes are capable of implementing any dynamic routing policy, however, the…

Networking and Internet Architecture · Computer Science 2016-12-19 Anurag Rai , Rahul Singh , Eytan Modiano

In classification tasks, it is crucial to meaningfully exploit the information contained in data. While much of the work in addressing these tasks is devoted to building complex algorithmic infrastructures to process inputs in a black-box…

Computer Vision and Pattern Recognition · Computer Science 2023-10-25 Alessandro Lonardi , Diego Baptista , Caterina De Bacco