Age based preventive replacement policy for discrete time coherent systems with independent and identical components

Eryılmaz, Serkan

doi:10.1016/j.ress.2023.109544

Cited by 7 publications

(1 citation statement)

References 23 publications

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“…Eryilmaz [23] studied discrete time age replacement policy when the lifetime of the system is modeled by a discrete phase-type distribution. Eryilmaz [24] investigated age-based preventive replacement policy for an arbitrary coherent system that consists of components which are independent and have common discrete lifetime distribution. Wei [25] proposed an optimal opportunistic maintenance planning integrating discrete-and continuous-state information.…”

Section: Discrete Time Replacement Modelsmentioning

confidence: 99%

A Net Present Value Analysis of Opportunity-Based Age Replacement Models in Discrete Time

Wu,

Qian,

Dohi

2024

Mathematics

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Two important opportunistic age replacement models, under replacement first and last disciplines, are generalized in discrete time. The net present value (NPV) is applied to formulate the expected total costs. The priority of multiple replacement options is considered to classify the cost model with discounting into six cases. Since the NPV method accurately calculates the expected replacement costs over an infinite horizon in an unstable economic environment, we discuss some optimal opportunistic age replacement policies which minimize the expected total discounted costs over an infinite time horizon. Furthermore, we formulate a unified model under each discipline, merging six discrete time replacement models with probabilistic priority. Finally, a case study on optimal replacement first and last policies for pole air switches in a Japanese power company is presented.

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Section: Discrete Time Replacement Modelsmentioning

confidence: 99%

A Net Present Value Analysis of Opportunity-Based Age Replacement Models in Discrete Time

Wu,

Qian,

Dohi

2024

Mathematics

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Reliability analysis and preventive maintenance policy for consecutive k$k$‐out‐of‐n:F$n: F$ balanced system under failure criterion operating in shock environment

Dong,

Bai

2024

Quality & Reliability Eng

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This paper presents a consecutive ‐out‐of‐: balance system in a shock environment, where the state transition of component is induced by external shocks. If a predetermined threshold number of effective shocks are applied to component in a critical state, the component will fail. The state of the system is defined by the number of consecutive failing component groups in the system, which leads to system failure when a critical number of consecutive failing components is reached. To minimize maintenance costs, we propose a preventive maintenance method with an optimization model. We use finite Markov chain imbedding and Phase‐type distribution to calculate component group failure rates and associated probability functions in discrete and continuous time, respectively. The validity and accuracy of the model are confirmed by numerical examples and Monte Carlo simulations.

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Optimal age replacement time for coherent systems under Geometric Point Process

A.,

Rizwan

2024

Computers & Industrial Engineering

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Age based preventive replacement policy for discrete time coherent systems with independent and identical components

Cited by 7 publications

References 23 publications

A Net Present Value Analysis of Opportunity-Based Age Replacement Models in Discrete Time

A Net Present Value Analysis of Opportunity-Based Age Replacement Models in Discrete Time

Reliability analysis and preventive maintenance policy for consecutive k$k$‐out‐of‐n:F$n: F$ balanced system under failure criterion operating in shock environment

Optimal age replacement time for coherent systems under Geometric Point Process

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