A marginal cost analysis for prevetive replacement policies

Berg, Menachem

doi:10.1016/0377-2217(80)90023-5

Cited by 44 publications

(25 citation statements)

References 2 publications

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“…We are now able to formulate the main theorem for the ARP model the proof of which can be found in, e.g., Berg [4]. To avoid confusion, in this article the word increasing has the same meaning as strictly increasing.…”

Section: The Standard Age Replacement Modelmentioning

confidence: 97%

“…It will be called the planned case and the model reduces to the well-known age replacement model. Our analysis can be considered as an extension of the marginal cost analysis (see Berg [4]) for that model. We will first start with a brief review of the analysis for the age replacement model.…”

Section: The Age Replacement Modelsmentioning

confidence: 99%

“…Although the simple age-replacement model has been studied widely (see e.g., Barlow and Proschan [l] or Berg [4]) models for opportunity (or opportunistic) age replacement are scarce. Here we give a brief overview.…”

Section: Introductionmentioning

confidence: 99%

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Opportunity-based age replacement: Exponentially distributed times between opportunities

Dekker

Dijkstra

1992

Naval Research Logistics

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This article gives a full analysis of a component‐replacement model in which preventive replacements are only possible at maintenance opportunities. These opportunities arise according to a Poisson process, independently of failures of the component. Conditions for the existence of a unique average optimal control limit policy are established and an equation characterizing the optimal policy and minimal average costs is derived. An important result is that the optimal policy can be described as a so‐called one‐opportunity‐look‐ahead policy. Such policies play an important role as heuristics in more general models. It is shown that there is a correspondence with the well‐known age‐replacement model, which can be considered as an extreme case of the model. Finally, some numerical results are given.

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Section: The Standard Age Replacement Modelmentioning

confidence: 97%

Section: The Age Replacement Modelsmentioning

confidence: 99%

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Opportunity-based age replacement: Exponentially distributed times between opportunities

Dekker

Dijkstra

1992

Naval Research Logistics

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“…Observe, if K(-) and/or cp(') are not differentiable, the MCA approach of Berg [4,5,6] cannot be used. Special cases of the above model are discussed by Barlow and Proschan [3], Schaeffer [241 Cleroux and Hanscom [9], Fox [12], Berg and Epstein [7] and Ran and Rosenlund [22].…”

Section: Z(t) E(r~(t/x Ci) ) = (Z(t) + Exp(at)cp(t)(1 -G(t)) If T< T mentioning

confidence: 99%

A unified treatment of single component replacement models

Frenk

Dekker

Kleijn

1997

Mathematical Methods of Operations Research

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In this paper we discuss a general framework for single component replacement models. This framework is based on the regenerative structure of these models and by using results from renewal theory a unified presentation of the discounted and average finite and infinite horizon cost models is given. Finally, some well-known replacement models are discussed, and making use of the previous results an easy derivation of their cost functions is presented.

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“…The performance of some kind of component slowly deteriorates after the occurrence of latent fault. In this condition, it is benefit to model proper maintenance policy for the component with latent fault [3]. The time between latent fault occurrence and functional fault appearance is termed as delay time [ 4].…”

Section: Introductionmentioning

confidence: 99%

Numerical analysis on the model of periodic maintenance policy for component with latent fault

Peng

Jin

Sai-Hu

et al. 2011

2011 IEEE 3rd International Conference on Communication Software and Networks

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It is significant to extend the service life of component before functional fault occurrence for improving the operational efficiency of the component and reducing its maintenance cost. This paper presents an improved model of periodic maintenance policy for component with latent fault and discusses the character of the improved model by theoretical analysis. Based on the discussion, the principium of the improved model and the past model are compared by numerical analysis. The results show that the improved model is superior to the past model in several aspects.

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A marginal cost analysis for prevetive replacement policies

Cited by 44 publications

References 2 publications

Opportunity-based age replacement: Exponentially distributed times between opportunities

Opportunity-based age replacement: Exponentially distributed times between opportunities

A unified treatment of single component replacement models

Numerical analysis on the model of periodic maintenance policy for component with latent fault

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