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Internet is known to display a highly heterogeneous structure and complex fluctuations in its traffic dynamics. Congestion seems to be an inevitable result of user's behavior coupled to the network dynamics and it effects should be…

Disordered Systems and Neural Networks · Physics 2009-11-10 Sergi Valverde , Ricard V. Sole

Over the past decade, GPS enabled traffic applications, such as Google Maps and Waze, have become ubiquitous and have had a significant influence on billions of daily commuters' travel patterns. A consequence of the online route suggestions…

Optimization and Control · Mathematics 2021-09-21 Devansh Jalota , Dario Paccagnan , Maximilian Schiffer , Marco Pavone

Graphs are fundamental objects that find widespread applications across computer science and beyond. Graph Theory has yielded deep insights about structural properties of various families of graphs, which are leveraged in the design and…

Data Structures and Algorithms · Computer Science 2023-08-30 Rachit Nimavat

Accurate routing network status estimation is a key component in Software Defined Networking. However, existing deep-learning-based methods for modeling network routing are not able to extrapolate towards unseen feature distributions. Nor…

Networking and Internet Architecture · Computer Science 2024-04-29 Yifei Jin , Marios Daoutis , Sarunas Girdzijauskas , Aristides Gionis

The study of complex networks has been historically based on simple graph data models representing relationships between individuals. However, often reality cannot be accurately captured by a flat graph model. This has led to the…

Social and Information Networks · Computer Science 2013-03-21 Matteo Magnani , Barbora Micenkova , Luca Rossi

In the next generation network, the satellite network will play a fundamental role, in overcoming the limitation of the terrestrial network. Nonetheless, the satellite-terrestrial network integration presents a number of problems due to the…

Networking and Internet Architecture · Computer Science 2024-11-26 F. Bergamini

The multi Vehicle Routing Problem with Pickup and Delivery with Time Windows is a challenging version of the Vehicle Routing Problem. In this paper, by embedding many complex assignment routing constraints through constructing a multi…

Optimization and Control · Mathematics 2016-07-07 Monirehalsadat Mahmoudi , Junhua Chen , Xuesong Zhou

This paper studies real-world road networks from an algorithmic perspective, focusing on empirical studies that yield useful properties of road networks that can be exploited in the design of fast algorithms that deal with geographic data.…

Computational Geometry · Computer Science 2009-05-14 David Eppstein , Michael T. Goodrich

We develop efficient algorithms for a fundamental network design problem arising in potential-based flow models, which are central to many energy transport networks (e.g., hydrogen and electricity). In contrast to classical network flow…

Discrete Mathematics · Computer Science 2026-04-30 Max Klimm , Marc E. Pfetsch , Martin Skutella , Lea Strubberg

Real-world networks are neither regular nor random, a fact elegantly explained by mechanisms such as the Watts-Strogatz or the Barabasi-Albert models, among others. Both mechanisms naturally create shortcuts and hubs, which while enhancing…

Physics and Society · Physics 2023-07-03 Ernesto Estrada , Jesús Gómez-Gardeñes , Lucas Lacasa

The Vehicle Routing Problem (VRP) is a fundamental challenge in logistics management research, given its substantial influence on transportation efficiency, cost minimization, and service quality. As a combinatorial optimization problem,…

Computational Engineering, Finance, and Science · Computer Science 2025-07-01 Souad Abdoune , Menouar Boulif

For automated driving, predicting the future trajectories of other road users in complex traffic situations is a hard problem. Modern neural networks use the past trajectories of traffic participants as well as map data to gather hints…

Robotics · Computer Science 2024-02-12 Jan Strohbeck , Sebastian Maschke , Max Mertens , Michael Buchholz

Topological landscape is introduced for networks with functions defined on the nodes. By extending the notion of gradient flows to the network setting, critical nodes of different indices are defined. This leads to a concise and…

Methodology · Statistics 2012-05-01 E. Weinan , Jianfeng Lu , Yuan Yao

Random networks are increasingly used to analyse complex transportation networks, such as airline routes, roads and rail networks. So far, this research has been focused on describing the properties of the networks with the help of random…

Physics and Society · Physics 2017-09-19 Jürgen Hackl , Bryan T. Adey

Transportation networks serve as windows into the complex world of urban systems. By properly characterizing a road network, we can therefore better understand its encompassing urban system. This study offers a geometrical approach towards…

Physics and Society · Physics 2015-07-15 Farideddin Peiravian , Sybil Derrible

Probabilistic message-passing algorithms are developed for routing transmissions in multi-wavelength optical communication networks, under node and edge-disjoint routing constraints and for various objective functions. Global routing…

Physics and Society · Physics 2022-04-25 Yi-Zhi Xu , Ho Fai Po , Chi Ho Yeung , David Saad

With the increasing scale of communication networks, the likelihood of failures grows as well. Since these networks form a critical backbone of our digital society, it is important that they rely on robust routing algorithms which ensure…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-12-01 Christoph Lenzen , Moti Medina , Mehrdad Saberi , Stefan Schmid

Despite prevailing concerns that the current Internet interdomain routing system will not scale to meet the needs of the 21st century global Internet, networking research has not yet led to the construction of a new routing architecture…

Networking and Internet Architecture · Computer Science 2007-05-23 Dmitri Krioukov , kc claffy

To better understand the structure and function of complex systems, researchers often represent direct interactions between components in complex systems with networks, assuming that indirect influence between distant components can be…

Physics and Society · Physics 2018-06-18 Renaud Lambiotte , Martin Rosvall , Ingo Scholtes

The Vehicle Routing Problem (VRP) is a complex optimization problem with numerous real-world applications, mostly solved using metaheuristic algorithms due to its $\mathcal{NP}$-Hard nature. Traditionally, these metaheuristics rely on…

Artificial Intelligence · Computer Science 2025-08-11 Bachtiar Herdianto , Romain Billot , Flavien Lucas , Marc Sevaux