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European Member States are increasingly introducing national capacity mechanisms (CMs) to manage growing adequacy risks. However, isolated national CMs are inefficient in highly interconnected electricity systems, such as the European…

Systems and Control · Electrical Eng. & Systems 2026-03-10 Kamal Adekola , Laurens de Vries , Kenneth Bruninx

Flow-based market coupling is substantially altering the computation of cross-zonal capacities for the trade of electricity in the vast majority of European markets. The main benefit of the flow-based method is improved accuracy by better…

Systems and Control · Electrical Eng. & Systems 2024-05-17 David Schönheit , Ivan Marjanović

The maritime shipping network is the backbone of global trade. Data about the movement of cargo through this network comes in various forms, from ship-level Automatic Identification System (AIS) data, to aggregated bilateral trade volume…

Physics and Society · Physics 2021-10-25 Timothy LaRock , Mengqiao Xu , Tina Eliassi-Rad

Network theory provides a rich toolbox consisting of methods, measures, and models for studying the structure and dynamics of complex systems found in nature, society, or technology. Recently, it has been pointed out that many real-world…

Physics and Society · Physics 2016-04-07 Marc Wiedermann , Jonathan F. Donges , Jobst Heitzig , Jürgen Kurths

We consider open multi-class queueing networks with general arrival processes, general processing time sequences and Bernoulli routing. The network is assumed to be operating under an arbitrary work-conserving scheduling policy that makes…

Probability · Mathematics 2021-11-23 Sarat Babu Moka , Yoni Nazarathy , Werner Scheinhardt

This article aims to model international trade relationships among 29 countries in the apparel industry between 1994 and 2013. Bilateral trade flows can be represented as a directed network, where nodes correspond to countries and directed…

Methodology · Statistics 2025-05-01 Sandipan Pramanik , Raymond Robertson , Yang Ni

When solving hard multicommodity network flow problems using an LP-based approach, the number of commodities is a driving factor in the speed at which the LP can be solved, as it is linear in the number of constraints and variables. The…

Optimization and Control · Mathematics 2021-08-16 Ahmad Kazemi , Pierre Le Bodic , Andreas Ernst , Mohan Krishnamoorthy

The recent financial crisis has stressed the need to understand financial systems as networks of interdependent countries, where cross-border financial linkages play the fundamental role. It has also been emphasized that the relevance of…

Statistical Finance · Quantitative Finance 2015-06-03 Alessandro Spelta , Tanya Araújo

We study the multi-level order-flow imbalance (MLOFI), which is a vector quantity that measures the net flow of buy and sell orders at different price levels in a limit order book (LOB). Using a recent, high-quality data set for 6 liquid…

Trading and Market Microstructure · Quantitative Finance 2019-10-29 Ke Xu , Martin D. Gould , Sam D. Howison

There are few papers about the international trade of flowers, so it is believed that this paper, with this topic, could be an important contribution to the international scientific community. It is intended to analyze if the international…

General Finance · Quantitative Finance 2012-06-18 Vitor Joao Pereira Domingues Martinho

In this paper we revisit the concept of mobility entropy. Over time, the structure of spatial interactions among urban centres tends to become more complex and evolves from centralised models to more scattered origin and destination…

Physics and Society · Physics 2021-06-30 Valentina Marin , Carlos Molinero , Elsa Arcaute

Networked systems are susceptible to cascading failures, where the failure of an initial set of nodes propagates through the network, often leading to system-wide failures. In this work, we propose a multiplex flow network model to study…

Systems and Control · Electrical Eng. & Systems 2025-04-02 Orkun İrsoy , Osman Yağan

Energy networks should strive for reliability. How can it be assessed, measured, and improved? What are the best trade-offs between investments and their worth? The flow-based framework for the reliability assessment of energy networks…

Systems and Control · Electrical Eng. & Systems 2021-08-03 Fabio Luiz Usberti , Celso Cavellucci , Christiano Lyra

This paper presents a mathematical model for the routing of multicommodity freight in an intermodal network under disruptions. A stochastic mixed-integer program was formulated to minimize not only operational costs of various modes and…

Optimization and Control · Mathematics 2024-02-05 Majbah Uddin , Nathan Huynh

In this paper we analyze the gravity model in the world passenger air-transport network. We show that in the standard form the model is inadequate to correctly describe the relationship between passenger flows and typical geo-economic…

Physics and Society · Physics 2016-11-28 Tomasz Ryczkowski , Agata Fronczak , Piotr Fronczak

In the economic literature, geographic distances are considered fundamental factors to be included in any theoretical model whose aim is the quantification of the trade between countries. Quantitatively, distances enter into the so-called…

We consider a model of Internet congestion control that represents the randomly varying number of flows present in a network where bandwidth is shared fairly between document transfers. We study critical fluid models obtained as formal…

Probability · Mathematics 2016-09-07 F. P. Kelly , R. J. Williams

Mapping network flows provides insight into the organization of networks, but even though many real-networks are bipartite, no method for mapping flows takes advantage of the bipartite structure. What do we miss by discarding this…

Social and Information Networks · Computer Science 2020-11-18 Christopher Blöcker , Martin Rosvall

Complex systems often have features that can be modeled by advanced mathematical tools [1]. Of special interests are the features of complex systems that have a network structure as such systems are important for modeling technological and…

Classical Physics · Physics 2019-06-13 Nikolay K. Vitanov , Kaloyan N. Vitanov , Zlatinka I. Dimitrova

We consider the robust version of a multi-commodity network flow problem. The robustness is defined with respect to the deletion, or failure, of edges. While the flow problem itself is a polynomially-sized linear program, its robust version…

Optimization and Control · Mathematics 2025-04-25 Artyom Klyuchikov , Roland Hildebrand , Sergei Protasov , Alexander Rogozin , Alexei Chernov