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Related papers: A Repairable System Supported by Two Spare Units a…

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We consider two models of two-units repairable systems: cold standby system and warm standby system. We suppose that the lifetimes and repair times of the units are all independent exponentially distributed random variables. Using…

Probability · Mathematics 2020-07-08 J. M. Corujo , J. E. Valdés , J. C Laria

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

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

A complex multi-state redundant system with preventive maintenance subject to multiple events is considered. The online unit can undergo several types of failures: internal and those provoked by external shocks. Multiple degradation levels…

Systems and Control · Electrical Eng. & Systems 2025-01-22 Juan Eloy Ruiz-Castro

In this paper we describe a general approach to optimal imperfect maintenance activities of a repairable equipment with independent components. Most of the existing works on optimal imperfect maintenance activities of a repairable equipment…

Optimization and Control · Mathematics 2024-12-12 Rubén Mullor , Julio Mulero , Mario Trottini

Future systems based on nano-scale devices will provide great potentials for scaling up in system complexity, yet they will be highly susceptible to operational faults. While spare units can be generally used to enhance reliability, they…

Hardware Architecture · Computer Science 2018-12-05 Soroush Khaleghi , Wenjing Rao

This paper deals with system with $n$ identical elements and one repairing device. While one element working other ones stay in reserve. The distribution of element working and repairing times are supposed to be exponential. Here we obtain…

General Mathematics · Mathematics 2020-03-04 E. A. Golovastova

Considering the close interaction between spare parts logistics and maintenance planning, this paper presents a model for joint optimization of multi-location spare parts supply chain and condition-based maintenance under predictive and…

Optimization and Control · Mathematics 2018-10-17 Morteza Soltani

Maintainability analysis is a cornerstone of reliability engineering. While the Markov approach is the classical analytical foundation, its reliance on the exponential distribution for failure and repair times is a major and often…

Applications · Statistics 2026-02-10 Afshin Yaghoubi

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

This article investigates a bi-objective redundancy allocation problem (RAP) for repairable systems, defined as cost minimization and availability maximization. Binary decisions jointly select the number of components and the standby…

Neural and Evolutionary Computing · Computer Science 2025-12-23 Mateusz Oszczypała , David Ibehej , Jakub Kudela

In this paper we consider the system with $n$ identical elements and one repairing device. In each time moment only one element works while the rest elements stay in reserve. The distribution of element repairing period is exponential, the…

Probability · Mathematics 2021-01-20 E. A. Golovastova

In this paper, a repairable multi-component system is studied where all the components can be repaired individually within the system. The whole system is inspected at inspection intervals and the failed components are detected and replaced…

Signal Processing · Electrical Eng. & Systems 2020-02-04 Nooshin Yousefi , David W. Coit , Zhu Xiaoyan

A complex multi-state redundant system undergoing preventive maintenance and experiencing multiple events is being considered in a continuous time frame. The online unit is susceptible to various types of failures, both internal and…

Methodology · Statistics 2025-01-13 Juan Eloy Ruiz-Castro , Hugo Alaín Zapata-Ceballos

Reparable systems are systems that are characterized by their ability to undergo maintenance actions when failures occur. These systems are often described by transport equations, all coupled through an integro-differential equation. In…

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

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

This paper compares two imperfect repair models for a degrading system, with deterioration level modeled by a non homogeneous gamma process. Both models consider instantaneous and periodic repairs. The first model assumes that a repair…

Optimization and Control · Mathematics 2024-01-24 Sophie Mercier , Inma T. Castro

Repair mechanisms are important within resilient systems to maintain the system in an operational state after an error occurred. Usually, constraints on the repair mechanisms are imposed, e.g., concerning the time or resources required…

Systems and Control · Computer Science 2017-07-12 Christel Baier , Clemens Dubslaff , Ľuboš Korenčiak , Antonín Kučera Vojtěch Řehák

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

We consider a problem in which a single repairer is responsible for the maintenance and repair of a collection of machines, positioned at different locations on a network of nodes and edges. Machines deteriorate according to stochastic…

Optimization and Control · Mathematics 2026-02-24 Dongnuan Tian , Rob Shone
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