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Real-world distributed systems and networks are often unreliable and subject to random failures of its components. Such a stochastic behavior affects adversely the complexity of optimization tasks performed routinely upon such systems, in…

Artificial Intelligence · Computer Science 2012-12-12 Milos Hauskrecht , Tomas Singliar

This paper focuses on helping network providers to carry out network capacity planning and sales projection by answering the question: For a given topology and capacity, whether the network can serve current flow demands with high…

Networking and Internet Architecture · Computer Science 2019-03-15 Tingwei Liu , John C. S. Lui

The literature in social network analysis has largely focused on methods and models which require complete network data; however there exist many networks which can only be studied via sampling methods due to the scale or complexity of the…

Applications · Statistics 2019-11-25 Haema Nilakanta , Zack W. Almquist , Galin L. Jones

In this note we study the numerical stability problem that may take place when calculating the cumulative distribution function of the {\it Hypoexponential} random variable. This computation is extensively used during the execution of Monte…

Applications · Statistics 2013-06-26 Ilya Gertsbakh , Eyal Neuman , Radislav Vaisman

Network reliability measures the probability that a target node is reachable from a source node in an uncertain graph, i.e., a graph where every edge is associated with a probability of existence. In this paper, we investigate the novel and…

Databases · Computer Science 2020-05-26 Xiangyu Ke , Arijit Khan , Mohammad Al Hasan , Rojin Rezvansangsari

System reliability is the probability of the maximum flow in a stochastic-flow network from the source node to the sink node being more than a demand level d. There are several approaches to compute system reliability using upper boundary…

Optimization and Control · Mathematics 2014-01-03 Majid Forghani-elahabad , Nezam Mahdavi-Amiri

We consider a lossy multicast network in which the reliability is provided by means of Random Linear Network Coding. Our goal is to characterise the performance of such network in terms of the probability that a source message is delivered…

Information Theory · Computer Science 2018-02-01 Evgeny Tsimbalo , Andrea Tassi , Robert J. Piechocki

In the classical s-t network reliability problem a fixed network G is given including two designated vertices s and t (called terminals). The edges are subject to independent random failure, and the task is to compute the probability that s…

Discrete Mathematics · Computer Science 2007-07-24 Marco Laumanns , Rico Zenklusen

This paper considers a wireless network where multiple flows are delivering status updates about their respective information sources. An end user aims to make accurate real-time estimations about the status of each information source using…

Networking and Internet Architecture · Computer Science 2019-01-31 Daojing Guo , I-Hong Hou

In this paper, we are concerned with the resilience of locally routed network flows with finite link capacities. In this setting, an external inflow is injected to the so-called origin nodes. The total inflow arriving at each node is routed…

Systems and Control · Computer Science 2016-08-16 A. Yasin Yazicioglu , Mardavij Roozbehani , Munther A. Dahleh

Network reliability is a well-studied problem that requires to measure the probability that a target node is reachable from a source node in a probabilistic (or uncertain) graph, i.e., a graph where every edge is assigned a probability of…

Social and Information Networks · Computer Science 2018-05-01 Arijit Khan , Francesco Bonchi , Francesco Gullo , Andreas Nufer

In this paper, we study network reliability in relation to a periodic time-dependent utility function that reflects the system's functional performance. When an anomaly occurs, the system incurs a loss of utility that depends on the…

Information Theory · Computer Science 2023-01-16 Ali Maatouk , Fadhel Ayed , Shi Biao , Wenjie Li , Harvey Bao , Enrico Zio

Identifying future congestion points in electricity distribution networks is an important challenge distribution system operators face. A proven approach for addressing this challenge is to assess distribution grid adequacy using…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Julian N. Betge , Barbera Droste , Jacco Heres , Simon H. Tindemans

Transportation infrastructures, particularly those supporting intermodal freight, are vulnerable to natural disasters and man-made disasters that could lead to severe service disruptions. These disruptions can drastically degrade the…

Optimization and Control · Mathematics 2024-02-06 Majbah Uddin , Nathan Huynh

Link failures repeatedly induce large-scale outages in power grids and other supply networks. Yet, it is still not well understood, which links are particularly prone to inducing such outages. Here we analyze how the nature and location of…

Physics and Society · Physics 2016-04-06 Dirk Witthaut , Martin Rohden , Xiaozhu Zhang , Sarah Hallerberg , Marc Timme

Uncertainty often plays an important role in dynamic flow problems. In this paper, we consider both, a stationary and a dynamic flow model with uncertain boundary data on networks. We introduce two different ways how to compute the…

Numerical Analysis · Mathematics 2021-04-28 Michael Schuster , Elisa Strauch , Martin Gugat , Jens Lang

The reliability of a network is an important parameter to consider when building a network. Different characteristics of the network can become unreliable over time or from other outside forces. In a simple setting, we model a network as a…

Combinatorics · Mathematics 2021-07-26 Ashley Armbruster , Jieqi Di , Nicholas Hanson , Nathan Shank

The parameters of the log-logistic distribution are generally estimated based on classical methods such as maximum likelihood estimation, whereas these methods usually result in severe biased estimates when the data contain outliers. In…

Methodology · Statistics 2022-09-16 Zhuanzhuan Ma , Min Wang , Chanseok Park

Engineering risk is concerned with the likelihood of failure and the scenarios when it occurs. The sensitivity of failure probability to change in system parameters is relevant to risk-informed decision making. Computing sensitivity is at…

Methodology · Statistics 2025-12-19 Siu-Kui Au , Zi-Jun Cao

In this work, we consider the problem of estimating the probability distribution, the quantile or the conditional expectation above the quantile, the so called conditional-value-at-risk, of output quantities of complex random differential…

Computation · Statistics 2023-05-23 Quentin Ayoul-Guilmard , Sundar Ganesh , Sebastian Krumscheid , Fabio Nobile
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