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In transportation and other types of facilities, various queues arise when the demands of service are higher than the supplies, and many point and fluid queue models have been proposed to study such queueing systems. However, there has been…

Dynamical Systems · Mathematics 2014-05-30 Wen-Long Jin

During overload, most networks drop packets due to buffer unavailability. The resulting timeouts at the source provide an implicit mechanism to convey congestion signals from the network to the source. On a timeout, a source should not only…

Networking and Internet Architecture · Computer Science 2016-11-15 R. Jain

Once the problem of ensemble averaging is removed, correlations between the response of a single molecule to an external driving field $F$, with the history of fluctuations of the particle, become detectable. Exact analytical theory for the…

Statistical Mechanics · Physics 2009-11-11 Eli Barkai

Wireless devices need to adapt their transmission power according to the fluctuating wireless channel in order to meet constraints of delay sensitive applications. In this paper, we consider delay sensitivity in the form of strict packet…

Information Theory · Computer Science 2018-09-21 Emmanouil Fountoulakis , Nikolaos Pappas , Qi Liao , Anthony Ephremides , Vangelis Angelakis

For the discovery of the QCD critical point it is crucial to develop dynamical models of the fluctuations of the net-baryon number that can be embedded in simulations of heavy-ion collisions. In this proceeding, we study the dynamical…

Nuclear Theory · Physics 2021-02-03 Masakiyo Kitazawa , Grégoire Pihan , Nathan Touroux , Marcus Bluhm , Marlene Nahrgang

Recent work in modeling the coupling between disease dynamics and dynamic social network geometry has led to the examination of how human interactions force a rewiring of connections in a population. Rewiring of the network may be…

Statistical Mechanics · Physics 2009-09-29 Leah B. Shaw , Ira B. Schwartz

We propose a resource distribution strategy to reduce the average travel time in a transportation network given a fixed generation rate. Suppose that there are essential resources to avoid congestion in the network as well as some extra…

Statistical Mechanics · Physics 2015-05-13 Shan He , Sheng Li , Hongru Ma

Complex systems such as ecological communities and neuron networks are essential parts of our everyday lives. These systems are composed of units which interact through intricate networks. The ability to predict sudden changes in the…

Adaptation and Self-Organizing Systems · Physics 2021-07-07 Deniz Eroglu , Matteo Tanzi , Sebastian van Strien , Tiago Pereira

Quantum fluctuations are fundamental in quantum technologies, affecting computing, sensing, cryptography, and thermodynamics. These include fluctuations in the variation of energy, charge, and other observables driven by interactions with…

Quantum Physics · Physics 2025-09-18 Thales Augusto Barbosa Pinto Silva , David Gelbwaser-Klimovsky

The aim of this paper is to use a very simple queuing model to compare a number of models from the literature which have been used to replicate the statistical nature of internet traffic and, in particular, the long-range dependence of this…

Networking and Internet Architecture · Computer Science 2011-11-10 Richard G. Clegg

In practice, wireless networks are deployed over finite domains, the level of mobility is different at different locations, and user mobility is correlated over time. All these features have an impact on the temporal properties of…

Networking and Internet Architecture · Computer Science 2020-09-01 Konstantinos Koufos , Carl P. Dettmann

A network of signalized intersections is modeled as a queuing network. The intersections are regulated by fixed-time (FT) controls, all with the same cycle length or period, $T$. Vehicles arrive from outside the network at entry links in a…

Dynamical Systems · Mathematics 2014-11-05 Ajith Muralidharan , Ramtin Pedarsani , Pravin Varaiya

We present an example of a highly connected closed network of servers, where the time correlations do not go to zero in the infinite volume limit. This phenomenon is similar to the continuous symmetry breaking at low temperatures in…

Mathematical Physics · Physics 2009-11-13 Alexander Rybko , Senya Shlosman , Alexander Vladimirov

Using Trades and Quotes data from the Paris stock market, we show that the random walk nature of traded prices results from a very delicate interplay between two opposite tendencies: long-range correlated market orders that lead to…

Statistical Mechanics · Physics 2008-12-02 Jean-Philippe Bouchaud , Yuval Gefen , Marc Potters , Matthieu Wyart

We consider random-access networks with nodes representing transmitter-receiver pairs whose signals interfere with each other depending on their vicinity. Data packets arrive at the nodes over time and form queues. The nodes can be either…

Probability · Mathematics 2022-05-04 Matteo Sfragara

We introduce a stochastic model that describes the quasi-static dynamics of an electric transmission network under perturbations introduced by random load fluctuations, random removing of system components from service, random repair times…

Physics and Society · Physics 2007-05-23 Marian Anghel , Kenneth A. Werley , Adilson E. Motter

In the study of dynamical processes on networks, there has been intense focus on network structure -- i.e., the arrangement of edges and their associated weights -- but the effects of the temporal patterns of edges remains poorly…

Physics and Society · Physics 2015-06-16 Till Hoffmann , Mason A. Porter , Renaud Lambiotte

We investigate bias-driven non-equilibrium quantum phase transitions in a paradigmatic quantum-transport setup: an interacting quantum dot coupled to non-interacting metallic leads. Using the Random Phase Approximation, which is exact in…

Strongly Correlated Electrons · Physics 2026-01-29 José F. B. Afonso , Stefan Kirchner , Pedro Ribeiro

Time-sensitive networks (IEEE TSN or IETF DetNet) may tolerate some packet reordering. Re-sequencing buffers are then used to provide in-order delivery, the parameters of which (timeout, buffer size) may affect worst-case delay and delay…

Networking and Internet Architecture · Computer Science 2021-06-22 Ehsan Mohammadpour , Jean-Yves Le Boudec

We introduce the {\Delta}(i)/GI/1 queue, a new queueing model. In this model, customers from a given population independently sample a time to arrive from some given distribution F. Thus, the arrival times are an ordered statistics, and the…

Probability · Mathematics 2014-12-09 Harsha Honnappa , Rahul Jain , Amy R. Ward
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