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The relative ageing is an important notion which is useful to measure how a system ages relative to another one. Among all existing stochastic orders, there are two important orders describing the relative ageing of two systems, namely,…

Applications · Statistics 2019-06-25 Nil Kamal Hazra , Neeraj Misra

The degradation of sewer pipes poses significant economical, environmental and health concerns. The maintenance of such assets requires structured plans to perform inspections, which are more efficient when structural and environmental…

Machine Learning · Computer Science 2023-07-14 Fidae El Morer , Stefan Wittek , Andreas Rausch

In many real-life scenarios, system failure depends on dynamic stress-strength interference, where strength degrades and stress accumulates concurrently over time. In this paper, we consider the problem of finding an optimal replacement…

Applications · Statistics 2022-01-04 Phalguni Nanda , Prajamitra Bhuyan , Anup Dewanji

Relative ageing describes how a system ages with respect to another one. The ageing faster orders are the ones which compare the relative ageings of two systems. Here, we study ageing faster orders in the hazard and the reversed hazard…

Applications · Statistics 2019-06-21 Nil Kamal Hazra , Neeraj Misra

In this work, we consider the dynamics of repairable systems characterized by three distinct states: one signifying normal operational states, another representing degraded conditions and a third denoting failed conditions. These systems…

Optimization and Control · Mathematics 2024-07-09 Daniel Owusu Adu , Weiwei Hu

The quasi-steady-state approximation (or stochastic averaging principle) is a useful tool in the study of multiscale stochastic systems, giving a practical method by which to reduce the number of degrees of freedom in a model. The method is…

Chemical Physics · Physics 2015-06-18 Maria Bruna , S. Jonathan Chapman , Matthew J. Smith

We study a repairable inventory system dedicated to a single component that is critical in operating a capital good. The system consists of a stock point containing spare components, and a dedicated repair shop responsible for repairing…

Probability · Mathematics 2023-08-25 Chaaben Kouki , Melvin Drent , Collin Drent , Mohamed Zied Babai

In chemical and manufacturing processes, unit failures due to equipment degradation can lead to process downtime and significant costs. In this context, finding an optimal maintenance strategy to ensure good unit health while avoiding…

Optimization and Control · Mathematics 2019-01-25 Johannes Wiebe , Inês Cecílio , Ruth Misener

Data-informed predictive maintenance planning largely relies on stochastic deterioration models. Monitoring information can be utilized to update sequentially the knowledge on time-invariant deterioration model parameters either within an…

Computation · Statistics 2023-08-02 Antonios Kamariotis , Luca Sardi , Iason Papaioannou , Eleni Chatzi , Daniel Straub

Predictive maintenance has been used to optimize system repairs in the industrial, medical, and financial domains. This technique relies on the consistent ability to detect and predict anomalies in critical systems. AI models have been…

In a system, there are identical replaceable components working for a given task and a failed component is replaced by a functioning one in the corresponding position, which characterizes a repairable system. Assuming that a replaced…

We study the data deletion problem for convex models. By leveraging techniques from convex optimization and reservoir sampling, we give the first data deletion algorithms that are able to handle an arbitrarily long sequence of adversarial…

Machine Learning · Statistics 2020-07-07 Seth Neel , Aaron Roth , Saeed Sharifi-Malvajerdi

We study the optimal control of battery energy storage under a general "pay-for-performance" setup such as providing frequency regulation and renewable integration. In these settings, batteries need to carefully balance the trade-off…

Optimization and Control · Mathematics 2018-07-31 Yuanyuan Shi , Bolun Xu , Yushi Tan , Daniel Kirschen , Baosen Zhang

This study develops a methodology by capturing both the battery aging state and degradation rate for improved life prediction performance. The aging state is indicated by six physical features of an equivalent circuit model that are…

Machine Learning · Computer Science 2023-08-29 Mingyuan Zhao , Yongzhi Zhang

This paper presents a combination of machine learning techniques to enable prompt evaluation of retired electric vehicle batteries as to either retain those batteries for a second-life application and extend their operation beyond the…

Systems and Control · Electrical Eng. & Systems 2023-04-10 Aki Takahashi , Anirudh Allam , Simona Onori

For model-based estimation methods, the modeling that is as close to reality as possible makes a vital estimation result. In simple applications, it is sufficient to model a system with a single state space model. However, there are…

Systems and Control · Electrical Eng. & Systems 2022-07-12 Sebastian Dingler

Aging interventions frequently improve function and healthspan without arresting long-term deterioration, indicating that existing frameworks do not fully specify the control conditions required for bounded organismal aging. A compact…

Other Quantitative Biology · Quantitative Biology 2026-03-10 Tristan Barkman

Maintenance optimization has been extensively studied in the past decades. However, most of the existing maintenance models focus on single-component systems and are not applicable for complex systems consisting of multiple components, due…

Optimization and Control · Mathematics 2019-07-03 Zhicheng Zhu , Yisha Xiang , Bo Zeng

We develop a Gaussian process ("GP") framework for modeling mortality rates and mortality improvement factors. GP regression is a nonparametric, data-driven approach for determining the spatial dependence in mortality rates and jointly…

Methodology · Statistics 2018-04-13 Mike Ludkovski , Jimmy Risk , Howard Zail

While purely data-driven assessment is feasible for the first levels of the Structural Health Monitoring (SHM) process, namely damage detection and arguably damage localization, this does not hold true for more advanced processes. The tasks…

Computational Engineering, Finance, and Science · Computer Science 2021-05-03 Thomas Simpson , Vasilis Dertimanis , Costas Papadimitriou , Eleni Chatzi