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We show that the generating functional describing the slow dynamics of spin glass systems is invariant under reparametrizations of the time. This result is general and applies for both infinite and short range models. It follows simply from…

Condensed Matter · Physics 2009-11-07 Claudio Chamon , Malcolm P. Kennett , Horacio Castillo , Leticia F. Cugliandolo

When using graphs and graph transformations to model systems, consistency is an important concern. While consistency has primarily been viewed as a binary property, i.e., a graph is consistent or inconsistent with respect to a set of…

Software Engineering · Computer Science 2026-03-11 Lars Fritsche , Alexander Lauer , Maximilian Kratz , Andy Schürr , Gabriele Taentzer

In this paper a multi-component system is studied where each component can be repaired within the system. We consider that each component is subject to two dependent competing failure processes due to degradation and random shocks and each…

Dynamical Systems · Mathematics 2019-03-05 Nooshin Yousefi , David W. Coit

We consider an extension of the classical machine-repair model, where we assume that the machines, apart from receiving service from the repairman, also serve queues of products. The extended model can be viewed as a layered queueing…

Probability · Mathematics 2014-12-24 J. L. Dorsman , O. J. Boxma , M. Vlasiou

We study a one-unit repairable system, supported by two identical spare units on cold standby, and serviced by two types of repairers. The model applies, for instance, to ANSI (American National Standard Institute) centrifugal pumps in a…

Performance · Computer Science 2019-08-08 Vahid Andalib , Jyotirmoy Sarkar

Additional training of a deep learning model can cause negative effects on the results, turning an initially positive sample into a negative one (degradation). Such degradation is possible in real-world use cases due to the diversity of…

Machine Learning · Computer Science 2022-05-19 Akihito Yoshii , Susumu Tokumoto , Fuyuki Ishikawa

We consider the single machine scheduling problem with job-dependent machine deterioration. In the problem, we are given a single machine with an initial non-negative maintenance level, and a set of jobs each with a non-preemptive…

Data Structures and Algorithms · Computer Science 2017-02-23 Wenchang Luo , Yao Xu , Weitian Tong , Guohui Lin

An optimization model has been formulated and solved to determine on-condition failure thresholds and inspection intervals for multi-component systems with each component experiencing multiple failure processes due to simultaneous exposure…

Optimization and Control · Mathematics 2019-12-20 Sanling Song , Nooshin Yousefi , David W. Coit , Qianmei Feng

For predictive maintenance, we examine one of the largest public datasets for machine failures derived along with their corresponding precursors as error rates, historical part replacements, and sensor inputs. To simplify the time and…

Machine Learning · Computer Science 2018-12-12 David Noever

In this paper we introduce a new model where the concept of condition-based maintenance is combined in a network setting with dynamic spare parts management. The model facilitates both preventive and corrective maintenance of geographically…

Optimization and Control · Mathematics 2020-04-07 Dmitrii Usanov , Peter van de Ven , Rob van der Mei

Inconsistent values are commonly encountered in real-world applications, which can negatively impact data analysis and decision-making. While existing research primarily focuses on identifying the smallest removal set to resolve…

Data Structures and Algorithms · Computer Science 2025-12-23 Haoda Li , Jiahui Chen , Yu Sun , Shaoxu Song , Haiwei Zhang , Xiaojie Yuan

Stochastic comparisons of series and parallel systems are important in many areas of engineering, operations research and reliability analysis. These comparisons allow for the evaluation of the performance and reliability of systems under…

Statistics Theory · Mathematics 2025-06-09 CM Revathi , Rajesh Moharana , Raju Bhakta

The goal of diagnosis is to compute good repair strategies in response to anomalous system behavior. In a decision theoretic framework, a good repair strategy has low expected cost. In a general formulation of the problem, the computation…

Artificial Intelligence · Computer Science 2013-02-21 Sampath Srinivas

The gradual accumulation of damage and dysregulation during the aging of living organisms can be quantified. Even so, the aging process is complex and has multiple interacting physiological scales -- from the molecular to cellular to whole…

Quantitative Methods · Quantitative Biology 2021-05-06 Spencer Farrell , Garrett Stubbings , Kenneth Rockwood , Arnold Mitnitski , Andrew Rutenberg

This paper analytically investigates the optimal design of gamma degradation tests, including the number of test units, the number of inspections, and inspection times. We first derive optimal designs with periodic inspection times under…

Methodology · Statistics 2025-08-14 Hung-Ping Tung , Yu-Wen Chen

Many complex systems experience damage accumulation which leads to aging, manifest as an increasing probability of system collapse with time. This naturally raises the question of how to maximize health and longevity in an aging system at…

Populations and Evolution · Quantitative Biology 2020-12-02 Eric D. Sun , Thomas C. T. Michaels , L. Mahadevan

Machine-learning systems such as self-driving cars or virtual assistants are composed of a large number of machine-learning models that recognize image content, transcribe speech, analyze natural language, infer preferences, rank options,…

Machine Learning · Computer Science 2021-06-02 Ruihan Wu , Chuan Guo , Awni Hannun , Laurens van der Maaten

The goal of predictive maintenance is to forecast the occurrence of faults of an appliance, in order to proactively take the necessary actions to ensure its availability. In many application scenarios, predictive maintenance is applied to a…

Machine Learning · Computer Science 2017-01-16 Riccardo Satta , Stefano Cavallari , Eraldo Pomponi , Daniele Grasselli , Davide Picheo , Carlo Annis

Understanding battery degradation in electric vehicles (EVs) under real-world conditions remains a critical yet under-explored area of research. Central to this investigation is the challenge of estimating the specific degradation modes in…

Optimization and Control · Mathematics 2024-05-20 Raja Abhishek Appana , Faissal El Idrissi , Prashanth Ramesh , Marcello Canova , Chun Yong Kang , Kimoon Um

Optimizing inspection and maintenance (I&M) plans for a large deteriorating structure is a computationally challenging task, in particular if one considers interdependences among its components. This is due to the sheer number of possible…

Systems and Control · Electrical Eng. & Systems 2021-07-14 Elizabeth Bismut , Daniel Straub