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We study the problem of distributed optimal resource allocation on networks with actions defined on discrete spaces, with applications to adaptive under-frequency load-shedding in power systems. In this context, the primary objective is to…

Optimization and Control · Mathematics 2024-12-25 Adel Aghajan , Miguel Jimenez-Aparicio , Michael E. Ropp , Jorge I. Poveda

We investigate the abrupt breakdown behavior of coupled distribution grids under load growth. This scenario mimics the ever-increasing customer demand and the foreseen introduction of energy hubs interconnecting the different energy…

In this paper, we introduce a modified epidemic model on regular and scale-free networks respectively. We consider the birth rate $\delta$, cure rate $\gamma$, infection rate $\lambda$, $\alpha$ from the infectious disease, and death rate…

Populations and Evolution · Quantitative Biology 2013-02-14 Jingzhou Liu

In this paper, we investigate the epidemic spreading for SIR model in weighted scale-free networks with nonlinear infectivity, where the transmission rate in our analytical model is weighted. Concretely, we introduce the infectivity…

Populations and Evolution · Quantitative Biology 2009-03-06 Xiangwei Chu , Zhongzhi Zhang , Jihong Guan , Shuigeng Zhou

In this paper, we propose a new model that allows us to investigate this competitive aspect of real networks in quantitative terms. Through theoretical analysis and numerical simulations, we find that the competitive network have the…

Physics and Society · Physics 2015-05-05 Jin-Li Guo , Chao Fan , Ya-Li Ji

Macroscopic link-based flow models are efficient for simulating flow propagation in urban road networks. Existing link-based flow models described traffic states of a link with two state variables of link inflow and outflow and assumed…

Systems and Control · Electrical Eng. & Systems 2024-11-14 Lei Wei , S. Travis Waller , Yu Mei , Peng Chen , Yunpeng Wang , Meng Wang

Electrical power grids are vulnerable to cascading failures that can lead to large blackouts. Detection and prevention of cascading failures in power grids is impor- tant. Currently, grid operators mainly monitor the state (loading level)…

Physics and Society · Physics 2015-07-20 Martijn Warnier , Stefan Dulman , Yakup Koç , Eric Pauwels

We consider a flow-level model of a network operating under an $\alpha$-fair bandwidth sharing policy (with $\alpha>0$) proposed by Roberts and Massouli\'{e} [Telecomunication Systems 15 (2000) 185-201]. This is a probabilistic model that…

Probability · Mathematics 2014-01-16 D. Shah , J. N. Tsitsiklis , Y. Zhong

We consider a class of simple, non-trivial models of evolving weighted scale-free networks. The network evolution in these models is determined by attachment of new vertices to ends of preferentially chosen weighted edges. Resulting…

Statistical Mechanics · Physics 2007-05-23 S. N. Dorogovtsev , J. F. F. Mendes

The rate equations are used to study the scale-free behavior of the weight distribution in evolving networks whose topology is determined only by degrees of preexisting vertices. An analysis of these equations shows that the degree…

Disordered Systems and Neural Networks · Physics 2007-05-23 W. Jezewski

This paper addresses a distributed optimization problem in a communication network where nodes are active sporadically. Each active node applies some learning method to control its action to maximize the global utility function, which is…

Optimization and Control · Mathematics 2021-04-20 Wenjie Li , Mohamad Assaad , Shiqi Zheng

The behavior of complex networks under failure or attack depends strongly on the specific scenario. Of special interest are scale-free networks, which are usually seen as robust under random failure but appear to be especially vulnerable to…

Physics and Society · Physics 2010-07-06 B. Berche , C. von Ferber , T. Holovatch , Yu. Holovatch

In several applications in distributed systems, an important design criterion is ensuring that the network is sparse, i.e., does not contain too many edges, while achieving reliable connectivity. Sparsity ensures communication overhead…

Social and Information Networks · Computer Science 2025-08-19 Mansi Sood , Eray Can Elumar , Osman Yagan

We propose a distributionally robust model for the influence maximization problem. Unlike the classic independent cascade model \citep{kempe2003maximizing}, this model's diffusion process is adversarially adapted to the choice of seed set.…

Social and Information Networks · Computer Science 2022-02-23 Louis Chen , Divya Padmanabhan , Chee Chin Lim , Karthik Natarajan

We use fluid limits to explore the (in)stability properties of wireless networks with queue-based random-access algorithms. Queue-based random-access schemes are simple and inherently distributed in nature, yet provide the capability to…

Networking and Internet Architecture · Computer Science 2013-02-26 Javad Ghaderi , Sem Borst , Phil Whiting

Traffic and channel-data rate combined with the stream oriented methodology can provide a scheme for offering optimized and guaranteed QoS. In this work a stream oriented modeled scheme is proposed based on each node's self-scheduling…

Networking and Internet Architecture · Computer Science 2010-09-10 Constandinos X. Mavromoustakis

Inspired by studies on the airports' network and the physical Internet, we propose a general model of weighted networks via an optimization principle. The topology of the optimal network turns out to be a spanning tree that minimizes a…

Physics and Society · Physics 2009-11-11 Marc Barthelemy , Alessandro Flammini

We study cascading failures in a system comprising interdependent networks/systems, in which nodes rely on other nodes both in the same system and in other systems to perform their function. The (inter-)dependence among nodes is modeled…

Applications · Statistics 2018-02-13 Richard J. La

The robustness of distributed optimization is an emerging field of study, motivated by various applications of distributed optimization including distributed machine learning, distributed sensing, and swarm robotics. With the rapid…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-29 Shuo Liu

We discuss how various models of scale-free complex networks approach their limiting properties when the size N of the network grows. We focus mainly on equilibrated networks and their finite-size degree distributions. Our results show that…

Statistical Mechanics · Physics 2009-11-13 B. Waclaw , L. Bogacz , W. Janke