Cost analysis for multi-component system with failure interaction under renewing free-replacement warranty

Liu, Bin; Wu, Jun; Xie, Min

doi:10.1016/j.ejor.2015.01.030

Cited by 87 publications

(43 citation statements)

References 31 publications

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“…For each component, minor failure occurs with probability p(t) and is fixed by minimal repair, whereas catastrophic failure occurs with probability 1 − p(t) and results in the total failure of all other components in the system. Zequeira and Bérenguer 11 considered the case where failures of component 1 can influence the failure probability of component 2 with probability p and do not interact with probability 1 − p. Liu et al 12 developed a maintenance model on the basis of a renewable free-replacement warranty. They assumed that whenever a component fails, it can induce failures of one or more of the remaining components.…”

Section: Introductionmentioning

confidence: 99%

Availability and maintenance modeling for systems subject to dependent hard and soft failures

Qiu

Cui

Shen

2018

Appl Stoch Models Bus & Ind

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This paper develops availability and maintenance models for single-unit systems subject to dependent hard and soft failures. A hard failure stops the system immediately, whereas a soft failure only reduces the performance capacity of the system. Dependence between these 2 types of failures is reflected in the fact that each soft failure directly increases the hazard rate of the hard failure. On the basis of such interaction, we derive recursive equations for the system reliability and availability functions. To detect both types of failures, inspections are executed periodically. Furthermore, we investigate the optimal inspection policy via the minimization of the expected cost per unit time. The applicability of the developed availability and maintenance models is validated by a case study on an electrical distribution system.

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Section: Introductionmentioning

confidence: 99%

Availability and maintenance modeling for systems subject to dependent hard and soft failures

Qiu

Cui

Shen

2018

Appl Stoch Models Bus & Ind

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“…After some manipulations and treatments as given in the Appendix and by applying Simpson's rule, the integrals in equation (15) could be reduced to forms amenable to practical computations. Thereby the expected value of the warranty reserve ratio will take the following form:…”

Section: A Joint Probability Distribution Of Time To Failure and Usagmentioning

confidence: 99%

“…These models are built on the implicit assumption that all customers have the same behaviour as regards to usage of the product [15], [17], [18].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Evaluating Two-Dimensional Warranty Reserve with Accounting for Usage Intensity

Moneim¹,

Ghazy²,

Hassan³

2017

IJMECH

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Evaluating warranty reserve fund is one of the most intricate problems undertaken by sellers. Many researchers introduced two dimensional models to build realistic models for evaluating warranty cost as a function of product age and its usage extent within a specified warranty period. Most researchers assumed that customers have similar attitudes with respect to usage. However, such similar attitudes cannot be guaranteed. The present work proposes a new random parameter γ in the failure rate model in order to account for the random variation of usage intensity and its effect on the product characteristic life. Expected value of warranty reserve was calculated using mathematical formulas. Furthermore, Monte Carlo simulation was used to calculate warranty reserve for different policies at different risk probabilities.

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“…They also used Weibull regression to identify influential factors that affect the variation in mean time between failures which were identified from extracted association rules. Liu et al [11] developed a model based on renewing free-replacement warranty by considering failure interaction among components.…”

Section: Literature Reviewmentioning

confidence: 99%

Renewable warranty policy for multiple-failure-mode product considering different maintenance options

Li¹,

Jia²,

Wang³

et al. 2015

EiN

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Cost analysis for multi-component system with failure interaction under renewing free-replacement warranty

Cited by 87 publications

References 31 publications

Availability and maintenance modeling for systems subject to dependent hard and soft failures

Availability and maintenance modeling for systems subject to dependent hard and soft failures

Evaluating Two-Dimensional Warranty Reserve with Accounting for Usage Intensity

Renewable warranty policy for multiple-failure-mode product considering different maintenance options

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