Joint optimization of maintenance and inventory policies for a simple system

Armstrong, Michael J.; Atkins, Derek

doi:10.1080/07408179608966288

Cited by 81 publications

(45 citation statements)

References 6 publications

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“…Since failure rate ( ) h x and major failure rate ( ) r x have the same monotone properties from (7), ( , ) C t T is unimodal and pseudo-convex in t and T as in Armstrong and Atkins (1996).…”

Section: Cost Modelmentioning

confidence: 93%

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Optimum ordering policy for preventive age replacement

Park

Sun

2009

J. Syst. Sci. Syst. Eng.

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Most of the spare ordering policies treated up to now have assumed that preventive and corrective replacement costs are equal, which implies in essential that there is no significant need for preventive replacement. This paper presents an ordering policy for preventive age replacement with minimal repair. Introducing the replacement, repair, inventory holding and shortage costs, the expected cost rate is derived. A procedure to determine jointly the ordering time for a spare and the preventive replacement time for the operating unit so as to minimize the expected cost rate is proposed. To explain the ordering policy and the optimization procedure, a numerical example is also included.

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Section: Cost Modelmentioning

confidence: 93%

“…(iii) If 0 L = , t T = , 0 1 p < < , it reduces to Cleroux, Dubuc & Tilquin (1979). (iv) If 0 p = , it reduces toArmstrong & Atkins (1996).…”

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confidence: 98%

Optimum ordering policy for preventive age replacement

Park

Sun

2009

J. Syst. Sci. Syst. Eng.

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“…Then, the system is replaced by an ordered spare at failure or at preset age whichever occurs first and the optimization models regard as a decision variable. Armstrong and Atkins [17,18] extended the work of Osaki and Yamada [11] to optimize the age replacement interval and the ordering time simultaneously, and the study reported by Park and Sun [19] considered these two decision variables as well based on the work of Sheu et al [15]. To the best of our knowledge, the study of Wang et al [20] proposed firstly a joint policy of inspection-based PM and spare ordering; moreover, the optimization model is established and used for the determination of the optimal thresholds related to spare ordering, preventive replacement, and failure.…”

Section: Introductionmentioning

confidence: 99%

A Joint Inspection-Based Preventive Maintenance and Spare Ordering Optimization Policy Using a Three-Stage Failure Process

et al. 2017

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Separated decision-making for maintenance and spare ordering is unrealistic in the industry, so this paper aims to optimize them together. A joint policy of inspection-based preventive maintenance (PM) and spare ordering considering two modes of spare ordering, namely, a regular order and an emergency order, is proposed for single-unit systems using a three-stage failure process. If the system is recognized to be in the minor defective stage, the original inspection interval is shortened and a regular order is placed. However, replacement is undertaken preventively or correctively if the severe defective stage is identified or a failure occurs. Depending on the system state and the state of the regular ordered spare when replacement is needed, all possible scenarios are considered to construct optimization model I. The decision variables are the optimal inspection interval and the times of shortening the original inspection interval. Additionally, model II on the basis of an assumption that the spare is always ordered at time 0 is also developed. The results from a numerical example illustrated the applicability and the effectiveness of model compared to model II, and the irregular inspection policy is validated to be cost-saving compared to the regular inspection policy.

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“…In the previous studies on the joint optimization of age replacement and inventory [1,2,6], order quantity per order is assumed only one. We examine joint optimization of age replacement and spare provisioning policy which does not restrict the number of order quantity.…”

Section: Introduction †mentioning

confidence: 99%

Joint Optimization of Age Replacement and Spare Provisioning Policy

Lim¹,

Park²

2012

Journal of the Korean society for quality management

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Joint optimization of preventive age replacement and inventory policy is considered in this paper. There are three decision variables in the problem: (i) preventive replacement age of the operating unit, (ii) order quantity per order and (iii) reorder point for spare replenishment. Preventive replacement age and order quantity are jointly determined so as to minimize the expected cost rate, and then the reorder point for meeting a desired service level is found. A numerical example is included to explain the joint optimization model.

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Joint optimization of maintenance and inventory policies for a simple system

Cited by 81 publications

References 6 publications

Optimum ordering policy for preventive age replacement

Optimum ordering policy for preventive age replacement

A Joint Inspection-Based Preventive Maintenance and Spare Ordering Optimization Policy Using a Three-Stage Failure Process

Joint Optimization of Age Replacement and Spare Provisioning Policy

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