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Metastable failure is a recent abstraction of a pattern of failures that occurs frequently in real-world distributed storage systems. In this paper, we propose a formal analysis and modeling of metastable failures in replicated storage…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-07-16 Farzad Habibi , Tania Lorido-Botran , Ahmad Showail , Daniel C. Sturman , Faisal Nawab

Continuous Time Markov Chains (CTMC) have been used extensively to model reliability of storage systems. While the exponentially distributed sojourn time of Markov models is widely known to be unrealistic (and it is necessary to consider…

Performance · Computer Science 2015-03-30 Prasenjit Karmakar , K. Gopinath

Stochastic models such as Continuous-Time Markov Chains (CTMC) and Stochastic Hybrid Automata (SHA) are powerful formalisms to model and to reason about the dynamics of biological systems, due to their ability to capture the stochasticity…

Logic in Computer Science · Computer Science 2013-09-05 Ezio Bartocci , Luca Bortolussi , Laura Nenzi , Guido Sanguinetti

Continuous-time Markov chains are mathematical models that are used to describe the state-evolution of dynamical systems under stochastic uncertainty, and have found widespread applications in various fields. In order to make these models…

Probability · Mathematics 2017-06-22 Thomas Krak , Jasper De Bock , Arno Siebes

Probabilistic model checking is a useful technique for specifying and verifying properties of stochastic systems including randomized protocols and reinforcement learning models. Existing methods rely on the assumed structure and…

Cryptography and Security · Computer Science 2022-08-02 Lisa Oakley , Alina Oprea , Stavros Tripakis

Continuous Time Markov Chain (CMTC) is widely used to describe and analyze systems in several knowledge areas. Steady state availability is one important analysis that can be made through Markov chain formalism that allows researchers…

Performance · Computer Science 2017-01-24 Eduardo M. Vasconcelos

Metaverse as-a-Service (MaaS) enables Metaverse tenants to execute their APPlications (MetaAPP) by allocating Metaverse resources in the form of Metaverse service functions (MSF). Usually, each MSF is deployed in a virtual machine (VM) for…

Software Engineering · Computer Science 2023-10-06 Yingfan Zong , Jing Bai , Xiaolin Chang , Fumio Machida , Yingsi Zhao

We present an efficient parametric model checking (PMC) technique for the analysis of software performability, i.e., of the performance and dependability properties of software systems. The new PMC technique works by automatically…

Logic in Computer Science · Computer Science 2022-10-25 Xinwei Fang , Radu Calinescu , Simos Gerasimou , Faisal Alhwikem

Predictive Process Monitoring aims to forecast the future progress of process instances using historical event data. As predictive process monitoring is increasingly applied in online settings to enable timely interventions, evaluating the…

Machine Learning · Computer Science 2023-10-16 Suhwan Lee , Marco Comuzzi , Xixi Lu , Hajo A. Reijers

We present a general method to derive the metastable behavior of weakly mixing Markov chains. This approach is based on properties of the resolvent equations and can be applied to metastable dynamics which do not satisfy the mixing…

Probability · Mathematics 2024-06-21 Claudio Landim , Diego Marcondes , Insuk Seo

Large-scale computing systems today are assembled by numerous computing units for massive computational capability needed to solve problems at scale, which enables failures common events in supercomputing scenarios. Considering the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-07 Li Tan , Nathan DeBardeleben

Root cause analysis in modern cloud infrastructure demands sophisticated understanding of heterogeneous data sources, particularly time-series performance metrics that involve core failure signatures. While large language models demonstrate…

Artificial Intelligence · Computer Science 2026-01-09 Gijun Park

In the framework of time series analysis with recurrence networks, we introduce a self-adaptive method that determines the elusive recurrence threshold and identifies metastable states in complex real-world time series. As initial step, we…

Data Analysis, Statistics and Probability · Physics 2014-10-22 Iliusi Vega , Christof Schütte , Tim O. F. Conrad

A perturbation framework is developed to analyze metastable behavior in stochastic processes with random internal and external states. The process is assumed to be under weak noise conditions, and the case where the deterministic limit is…

Analysis of PDEs · Mathematics 2013-09-23 Jay Newby , Jon Chapman

We present a new method for the accurate analysis of the quality-of-service (QoS) properties of component-based systems. Our method takes as input a QoS property of interest and a high-level continuous-time Markov chain (CTMC) model of the…

Software Engineering · Computer Science 2018-05-25 Colin Paterson , Radu Calinescu

The Meantime to Failure is a statistic used to determine how much time a system spends to enter one of its absorption states. This statistic can be used in most areas of knowledge. In engineering, for example, can be used as a measure of…

Artificial Intelligence · Computer Science 2022-02-04 Eduardo M. Vasconcelos

We consider the problem of assigning tasks efficiently to a set of workers that can exhaust themselves as a result of processing tasks. If a worker is exhausted, it will take a longer time to recover. To model efficiency of workers with…

Information Theory · Computer Science 2025-04-03 Elif Beray Sariisik , Melih Bastopcu , Nail Akar , Sennur Ulukus

Large Language Model (LLM) serving systems remain fundamentally fragile, where frequent hardware faults in hyperscale clusters trigger disproportionate service outages in the software stack. Current recovery mechanisms are prohibitively…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-02 Shangshu Qian , Kipling Liu , P. C. Sruthi , Lin Tan , Yongle Zhang

We present a general framework to study the metastability of random perturbations of dynamical systems. It integrates techniques from the theory of Markov processes, in particular the resolvent approach to metastability, with the spectral…

Dynamical Systems · Mathematics 2026-02-16 Diego Marcondes , Sandro Vaienti

This paper describes a complex networks approach to study the failure tolerance of mechatronic software systems under various types of hardware and/or software failures. We produce synthetic system architectures based on evidence of modular…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-10-04 Dharshana Kasthurirathna , Andy Dong , Mahendrarajah Piraveenan , Irem Y. Tumer
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