Optimizing upgrade and imperfect preventive maintenance in failure-prone second-hand systems

Khatab, Abdelhakim; Diallo, Claver; Sidibé, I. B.

doi:10.1016/j.jmsy.2017.02.005

Cited by 38 publications

(14 citation statements)

References 41 publications

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“…Using the results of Lemma 1, Equation 17becomes Equation (30). To prove Proposition 3, we redefine K 2 (N) in Inequality (33) as follows:…”

Section: Fundingmentioning

confidence: 99%

“…Using the results of Lemma 1, Equation (17) becomes Equation (30), and then, Equation (34) is a finite and unique solution that minimizes Equation (30)…”

Section: Fundingmentioning

confidence: 99%

“…This model used the system reliability threshold that maintains a survival probability until the system replacement. Khatab et al [30] developed an imperfect PM model for failure-prone second-hand systems considering the conditional reliability threshold and upgrade action. Khatab [31] improved Liao's model [27] by adding mathematical properties and remedying inconsistencies in the maintenance optimization model.…”

Section: Introductionmentioning

confidence: 99%

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Maintenance Optimization for Repairable Deteriorating Systems under Imperfect Preventive Maintenance

2019

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This study deals with the preventive maintenance optimization problem based on a reliability threshold. The conditional reliability threshold is used instead of the system reliability threshold. Then, the difference between the two thresholds is discussed. The hybrid failure rate model is employed to represent the effect of imperfect preventive maintenance activities. Two maintenance strategies are proposed under two types of reliability constraints. These constraints are set to consider the cost-effective maintenance strategy and to evaluate the balancing point between the expected total maintenance cost rate and the system reliability. The objective of the proposed maintenance strategies is to determine the optimal conditional reliability threshold together with the optimal number of preventive maintenance activities that minimize the expected total maintenance cost per unit time. The optimality conditions of the proposed maintenance strategies are also investigated and shown via four propositions. A numerical example is provided to illustrate the proposed preventive maintenance strategies. Some sensitivity analyses are also conducted to investigate how the parameters of the proposed model affect the optimality of preventive maintenance strategies.

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“…Using the results of Lemma 1, Equation 17becomes Equation (30). To prove Proposition 3, we redefine K 2 (N) in Inequality (33) as follows:…”

Section: Fundingmentioning

confidence: 99%

“…Using the results of Lemma 1, Equation (17) becomes Equation (30), and then, Equation (34) is a finite and unique solution that minimizes Equation (30)…”

Section: Fundingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Maintenance Optimization for Repairable Deteriorating Systems under Imperfect Preventive Maintenance

2019

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“…In the same way, seminal research was also conducted on optimizing maintenance or replacement policy for secondhand equipment in recent decade. Therefore, optimal maintenance policies were adjusted for second-hand equipments in [11,12]. In which the authors established maintenance policies which ensure an optimal preventive repair period for secondhand equipment based on the cost and hypotheses on its initial age (deterministic or random).…”

Section: Introductionmentioning

confidence: 99%

Optimal Maintenance Policy for Second-Hand Equipments under Uncertainty

Sidibe¹,

Djelloul²,

Fane³

et al. 2021

Practical Applications in Reliability Engineering

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This chapter addresses a maintenance optimization problem for re-manufactured equipments that will be reintroduced into the market as second-hand equipments. The main difference of this work and the previous literature on the maintenance optimization of second-hand equipments is the influence of the uncertainties due to the indirect obsolescence concept. The uncertainty is herein about the spare parts availability to perform some maintenance actions on equipment due to technology vanishing. The maintenance policy involves in fact a minimal repair at failure and a preventive repair after some operating period. To deal with this shortcoming, the life cycle of technology or spare parts availability is defined and modeled as a random variable whose lifetimes distribution is well known and Weibull distributed. Accordingly, an optimal maintenance policy is discussed and derived for such equipment in order to overcome the uncertainty on reparation action. Moreover, experiments are then conducted and different life cycle of technologies are evaluated according to their obsolescence processes (accidental or progressive vanishing) on the optimal operating condition.

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“…They develop a mathematical model to determine an optimal warranty policy with respect to maximizing the manufacturer's expected total profit. More recently, Khatab et al consider second‐hand dealers' upgrade operations preceding resale and during PM. They derive a mathematical optimization model to determine the acquisition age, upgrade level, and PM strategy.…”

Section: Introductionmentioning

confidence: 99%

Maintenance optimization for second‐hand products following periodic imperfect preventive maintenance warranty period

Lim

Kim

Park

2019

Appl Stoch Models Bus & Ind

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The maintenance policy for a product's life cycle differs for second‐hand and new products. Although several maintenance policies for second‐hand products exist in the literature, they are rarely investigated with reference to periodic inspection and preventive maintenance action during the warranty period. In this research, we study an optimal post‐warranty maintenance policy for a second‐hand product, which was purchased at age x with a fixed‐length warranty period. During the warranty period, the product is periodically inspected and maintained preventively at a prorated cost borne by the user, while any product failure is only minimally repaired by the dealer. After the warranty expires, the product is self‐maintained by the user for a fixed‐length maintenance period and the costs incurred during this time are fully borne by the user. At the end of the maintenance period, the product is replaced with a product of the user's choice. This study is focused on the determination of an optimal length for the maintenance period after the warranty expiration. As a criterion for the optimality, we adopt the long‐run mean cost during the second‐hand product's life cycle from the user's perspective. Finally, our results are analyzed numerically for sensitive analysis of several relevant factors, assuming that the failure distribution follows a Weibull distribution.

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Optimizing upgrade and imperfect preventive maintenance in failure-prone second-hand systems

Cited by 38 publications

References 41 publications

Maintenance Optimization for Repairable Deteriorating Systems under Imperfect Preventive Maintenance

Maintenance Optimization for Repairable Deteriorating Systems under Imperfect Preventive Maintenance

Optimal Maintenance Policy for Second-Hand Equipments under Uncertainty

Maintenance optimization for second‐hand products following periodic imperfect preventive maintenance warranty period

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