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For optimal power flow problems with chance constraints, a particularly effective method is based on a fixed point iteration applied to a sequence of deterministic power flow problems. However, a priori, the convergence of such an approach…

最优化与控制 · 数学 2023-12-13 Johannes J. Brust , Mihai Anitescu

This article considers a two-player strategic game for network routing under link disruptions. Player 1 (defender) routes flow through a network to maximize her value of effective flow while facing transportation costs. Player 2 (attacker)…

计算机科学与博弈论 · 计算机科学 2019-01-23 Mathieu Dahan , Saurabh Amin

The growing amount of fluctuating renewable infeeds and market liberalization increases uncertainty in power system operation. To capture the influence of fluctuations in operational planning, we model the forecast errors of the uncertain…

最优化与控制 · 数学 2015-08-26 Line Roald , Frauke Oldewurtel , Bart Van Parys , Göran Andersson

This paper considers a 2-player strategic game for network routing under link disruptions. Player 1 (defender) routes flow through a network to maximize her value of effective flow while facing transportation costs. Player 2 (attacker)…

计算机科学与博弈论 · 计算机科学 2016-04-19 Mathieu Dahan , Saurabh Amin

The task of allocating preventative resources to a computer network in order to protect against the spread of viruses is addressed. Virus spreading dynamics are described by a linearized SIS model and protection is framed by an optimization…

社会与信息网络 · 计算机科学 2014-01-23 Michael Zargham , Victor M. Preciado

Inspired by reliability issues in electric transmission networks, we use a probabilistic approach to study the occurrence of large failures in a stylized cascading failure model. In this model, lines have random capacities that initially…

概率论 · 数学 2016-04-14 F. Sloothaak , S. C. Borst , A. P. Zwart

Robustness of distributed routing policies is studied for dynamical flow networks, with respect to adversarial disturbances that reduce the link flow capacities. A dynamical flow network is modeled as a system of ordinary differential…

系统与控制 · 计算机科学 2012-05-30 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

The growing penetration of distributed energy resources (DERs) is leading to continually changing operating conditions, which need to be managed efficiently by distribution grid operators. The intermittent nature of DERs such as solar…

系统与控制 · 电气工程与系统科学 2022-07-21 Kshitij Girigoudar , Ashley M. Hou , Line A. Roald

In classic network security games, the defender distributes defending resources to the nodes of the network, and the attacker attacks a node, with the objective to maximize the damage caused. Existing models assume that the attack at node u…

计算机科学与博弈论 · 计算机科学 2020-12-10 Rufan Bai , Haoxing Lin , Xinyu Yang , Xiaowei Wu , Minming Li , Weijia Jia

We introduce and investigate reroutable flows, a robust version of network flows in which link failures can be mitigated by rerouting the affected flow. Given a capacitated network, a path flow is reroutable if after failure of an arbitrary…

离散数学 · 计算机科学 2017-04-28 Jannik Matuschke , S. Thomas McCormick , Gianpaolo Oriolo

We investigate the effect of a specific edge weighting scheme $\sim (k_i k_j)^{\beta}$ on distributed flow efficiency and robustness to cascading failures in scale-free networks. In particular, we analyze a simple, yet fundamental…

物理与社会 · 物理学 2019-12-18 Andrea Asztalos , Sameet Sreenivasan , Boleslaw K. Szymanski , G. Korniss

This paper addresses the security allocation problem in a networked control system under stealthy injection attacks. The networked system is comprised of interconnected subsystems which are represented by nodes in a digraph. An adversary…

系统与控制 · 电气工程与系统科学 2025-12-03 Anh Tung Nguyen , Sribalaji C. Anand , André M. H. Teixeira

With the tremendous increase of the Internet traffic, achieving the best performance with limited resources is becoming an extremely urgent problem. In order to address this concern, in this paper, we build an optimization problem which…

物理与社会 · 物理学 2017-02-23 Li Rui , Xia Yongxiang , Tse K Chi

Many engineered systems, such as energy and transportation infrastructures, are networks governed by non-linear physical laws. A primary challenge for operators of these networks is to achieve optimal utilization while maintaining safety…

最优化与控制 · 数学 2018-03-08 Tillmann Weisser , Line Roald , Sidhant Misra

We consider the problem of reserving link capacity in a network in such a way that any of a given set of flow scenarios can be supported. In the optimal capacity reservation problem, we choose the reserved link capacities to minimize the…

分布式、并行与集群计算 · 计算机科学 2017-05-03 Nicholas Moehle , Xinyue Shen , Zhi-Quan Luo , Stephen Boyd

We consider the worst-case load-shedding problem in electric power networks where a number of transmission lines are to be taken out of service. The objective is to identify a pre-specified number of line outage that leads to the maximum…

最优化与控制 · 数学 2018-10-22 Fu Lin

Modeling and analyzing security of networked systems is an important problem in the emerging Science of Security and has been under active investigation. In this paper, we propose a new approach towards tackling the problem. Our approach is…

密码学与安全 · 计算机科学 2016-03-29 Gaofeng Da , Maochao Xu , Shouhuai Xu

It has been known that heterogeneous networks are vulnerable to the intentional removal of a small fraction of highly connected or loaded nodes, which implies that, to protect a network effectively, a few important nodes should be allocated…

网络与互联网体系结构 · 计算机科学 2009-11-13 Xingang Wang , Shuguang Guan , Choy Heng Lai

A fundamental challenge in computer analysis of power flow is the rigorous understanding of the impact of different loading levels on the solutions of the power flow equation. This letter presents a comprehensive study of possible numerical…

信号处理 · 电气工程与系统科学 2019-09-06 Dan Wu , Bin Wang , Kai Sun , Le Xie

In this paper, we study the $H_\infty$-norm of linear systems over graphs, which is used to model distribution networks. In particular, we aim to minimize the $H_\infty$-norm subject to allocation of the weights on the edges. The…

最优化与控制 · 数学 2017-10-10 Alexander Johansson , Jieqiang Wei , Henrik Sandberg , Karl H. Johansson , Jie Chen