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The generic case of pensions fund that it is not sufficiently auto financed and it is thoroughly maintained with an external financing effort is considered in this chapter. To represent the unrestricted reserves value process of this kind…

Pricing of Securities · Quantitative Finance 2022-03-21 Manuel Alberto M. Ferreira

Aimed at the timely detection of the degradation of electrical machines and the organization of active maintenance, numerous studies on performance degradation assessment have been conducted. However, previous research still suffers from…

Signal Processing · Electrical Eng. & Systems 2018-09-10 Chong Bian , Shunkun Yang , Tingting Huang , Qingyang Xu , Jie Liu , Enrico Zio

Assessing the degradation state of an industrial asset first requires evaluating its current condition and then to project the forecast model trajectory to a predefined prognostic threshold, thereby estimating its remaining useful life…

Methodology · Statistics 2025-10-06 Edgar Jaber , Emmanuel Remy , Vincent Chabridon , Mathilde Mougeot , Didier Lucor

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

Machine learning models are essential tools in various domains, but their performance can degrade over time due to changes in data distribution or other factors. On one hand, detecting and addressing such degradations is crucial for…

Machine Learning · Computer Science 2023-09-28 Florian Heinrichs

Cascading failure of a power transmission system are initiated by an exogenous event that disable a set of elements (e.g., lines) followed by a sequence of interrelated failures (or more precisely, trips) of overloaded elements caused by…

Optimization and Control · Mathematics 2015-07-21 Daniel Bienstock , Guy Grebla

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

We define a model of a system that deteriorate as a result of (i) shocks, modeled as a compound Poisson process and (ii) deterministic, state dependent progressive rate, with variable and fixed maintenance cost. We define maintenance…

Optimization and Control · Mathematics 2015-06-04 Mauricio Junca

Condition based maintenance is a modern approach to maintenance which has been successfully used in several industrial sectors. In this paper we present a concrete statistical approach to condition based maintenance for wind turbine by…

Applications · Statistics 2017-02-17 Thomas Kenbeek , Stella Kapodistria , Alessandro Di Bucchianico

This paper highlights the importance of maintenance techniques in the coming industrial revolution, reviews the evolution of maintenance techniques, and presents a comprehensive literature review on the latest advancement of maintenance…

Signal Processing · Electrical Eng. & Systems 2025-07-25 Tianwen Zhu , Yongyi Ran , Xin Zhou , Yonggang Wen

Degradation data are considered for assessing reliability in highly reliable systems. The usual assumption is that degradation units come from a homogeneous population. But in presence of high variability in the manufacturing process, this…

Methodology · Statistics 2026-01-15 Barin Karmakar , Biswabrata Pradhan

Machine maintenance is a challenging operational problem, where the goal is to plan sufficient preventive maintenance to avoid machine failures and overhauls. Maintenance is often imperfect in reality and does not make the asset as good as…

General Economics · Economics 2022-06-06 Toon Vanderschueren , Robert Boute , Tim Verdonck , Bart Baesens , Wouter Verbeke

We study the asymptotics of a two-dimensional stochastic differential system with a degenerate diffusion matrix. This system describes the dynamics of a population where individuals contribute to the degradation of their environment through…

Dynamical Systems · Mathematics 2024-05-06 Pierre Collet , Claire Ecotière , Sylvie Méléard

Optimizing maintenance scheduling is a major issue to improve the performance of hydropower plants. We study a system of several physical components of the same family: either a set of turbines, a set of transformers or a set of generators.…

Optimization and Control · Mathematics 2021-05-07 Jean-Philippe Chancelier , Thomas Bittar , Pierre Carpentier , J-Ph Chancelier , Jérôme Lonchampt

A framework is introduced for sequentially solving convex stochastic minimization problems, where the objective functions change slowly, in the sense that the distance between successive minimizers is bounded. The minimization problems are…

Optimization and Control · Mathematics 2018-03-12 Craig Wilson , Venugopal Veeravalli , Angelia Nedich

Before autonomous systems can be deployed in safety-critical applications, we must be able to understand and verify the safety of these systems. For cases where the risk or cost of real-world testing is prohibitive, we propose a…

Robotics · Computer Science 2023-09-18 Charles Dawson , Chuchu Fan

Biological systems perform complex multi-step processes in a reproducible way despite underlying stochasticity. The standard explanation is micromanagement by molecular machinery that recognizes and corrects specific errors. Here we study…

Populations and Evolution · Quantitative Biology 2026-05-14 Riccardo Ravasio , Kabir Husain , Constantine G. Evans , Rob Phillips , Marco Ribezzi-Crivellari , Jack W. Szostak , Arvind Murugan

Optimal maintenance policies play an important role in the reliability analysis of repairable systems. This paper examines a two-unit priority standby system with a repair facility, where the priority unit is subject to preventive…

Optimization and Control · Mathematics 2026-05-27 Alexandros Carballo , Marelys Crespo , José E Valdés

Maintenance plays now a critical role in manufacturing for achieving important cost savings and competitive advantage while preserving product conditions. It suggests moving from conventional maintenance practices to predictive strategy.…

Performance · Computer Science 2009-06-10 Pierre Cocheteux , Alexandre Voisin , Eric Levrat , Benoît Iung

The recent experimental progresses in handling microscopic systems have allowed to probe them at levels where fluctuations are prominent, calling for stochastic modeling in a large number of physical, chemical and biological phenomena. This…

Statistical Mechanics · Physics 2017-03-08 Stefano Bo , Antonio Celani