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We review basic modeling approaches for failure and maintenance data from repairable systems. In particular we consider imperfect repair models, defined in terms of virtual age processes, and the trend-renewal process which extends the…

Methodology · Statistics 2007-08-03 Bo Henry Lindqvist

We consider semi-coherent binary systems that are subject to simultaneous failures of its components. These are systems whose components can be either working or failed; the system can also be working or failed depending on the state of the…

Probability · Mathematics 2026-01-14 Guido Lagos , Jorge Navarro , Hector Olivero

Failure times of a machinery cannot always be assumed independent and identically distributed, e.g. if after reparations the machinery is not restored to a same-as-new condition. Framed within the renewal processes approach, a…

Applications · Statistics 2019-05-14 Arrigo Coen , Luis Gutiérrez , Ramsés H. Mena

Within this paper, the problem of 3D structural inspection path planning for distributed infrastructure using aerial robots that are subject to time constraints is addressed. The proposed algorithm handles varying spatial properties of the…

Robotics · Computer Science 2016-12-28 Kostas Alexis , Christos Papachristos , Roland Siegwart , Anthony Tzes

Scheduling the maintenance based on the condition, respectively the degradation level of the system leads to improved system's reliability while minimizing the maintenance cost. Since the degradation level changes dynamically during the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-30 Pegah Rokhforoz , Olga Fink

This paper is concerned with the optimal number of redundant allocation to $n$-component coherent systems consist of heterogeneous dependent components. We assume that the system is built of $L$ groups of different components, $L\geq 1$,…

Optimization and Control · Mathematics 2022-02-22 Maryam Kelkinnama , Majid Asadi

We analyze the fate of dynamical systems that consist of two kind of processes. The first type is supposed to perform a certain function by processing information at a required high accuracy, which is, however, limited to less than 100…

Biological Physics · Physics 2018-10-10 Maximilian Voit , Hildegard Meyer-Ortmanns

An important issue in additive manufacturing is the reliability and reproducibility of parts. One major problem in achieving this are uncontrolled local variations in the obtained material properties which arise in the complex manufacturing…

Optimization and Control · Mathematics 2017-07-18 Jannis Greifenstein , Michael Stingl

We examine a control problem where the states of the components of a system deteriorate after a disruption, if they are not being repaired by an entity. There exist a set of dependencies in the form of precedence constraints between the…

Systems and Control · Electrical Eng. & Systems 2020-09-25 Hemant Gehlot , Shreyas Sundaram , Satish V. Ukkusuri

This paper deals with the problem of preventive maintenance (PM) scheduling of pipelines subject to external corrosion defects. The preventive maintenance strategy involves an inspection step at some epoch, together with a repair schedule.…

Data Structures and Algorithms · Computer Science 2016-10-06 Assia Boumahdaf , Michel Broniatowski

During software development, developers often make numerous modifications to the software to address existing issues or implement new features. However, certain changes may inadvertently have a detrimental impact on the overall system…

Software Engineering · Computer Science 2024-08-16 Lizhi Liao , Simon Eismann , Heng Li , Cor-Paul Bezemer , Diego Elias Costa , Andre van Hoorn , Weiyi Shang

The failure of a complex and safety critical industrial asset can have extremely high consequences. Close monitoring for early detection of abnormal system conditions is therefore required. Data-driven solutions to this problem have been…

Machine Learning · Statistics 2021-11-24 Gabriel Michau , Olga Fink

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

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

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

In this work, a single-unit multi-state system is considered. The system is subject to internal failures, as well as external shocks with multiple consequences. It also incorporates a preventive maintenance strategy and a Bernoulli vacation…

Methodology · Statistics 2025-10-14 Juan Eloy Ruiz-Castro , Hugo Alaín Zapata-Ceballos

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

The goal of model-based diagnosis is to isolate causes of anomalous system behavior and recommend inexpensive repair actions in response. In general, precomputing optimal repair policies is intractable. To date, investigators addressing…

Artificial Intelligence · Computer Science 2013-02-21 Sampath Srinivas , Eric J. Horvitz

Maintenance is the last and the most critical phase of the software development life cycle. It involves debugging of errors and different types of enhancements which are requested by the user. Software reliability regarding maintenance is…

Software Engineering · Computer Science 2016-05-04 Ahmad Mateen , Muhammad Azeem Akbar

The properties of a coherent system with a single general standby component is investigated. Here three different switch over viz. perfect switching, imperfect switching and random worm up period of the standby component are considered with…

Applications · Statistics 2020-11-13 Pradip Kundu , Nil Kamal Hazra , Asok K. Nanda