On problems of multicomponent system maintenance modelling

Nowakowski, Tomasz; Werbińka, Sylwia

doi:10.1007/s11633-009-0364-4

Cited by 74 publications

(35 citation statements)

References 52 publications

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“…Over the past decades, there has been a growing interest in the modeling and optimization of maintenance of systems consisting of multiple units. As can be seen in the related review papers [2]- [6].…”

Section: Introductionmentioning

confidence: 91%

“…At the inspection time 1 T and 3 T , no maintenance is required because there are no maintenance opportunities even though the deterioration states of the units belong to their opportunistic maintenance zones, the next inspection date for the system is scheduled according to the deterioration state at that time respectively. At the inspection time 2 T , a preventive maintenance Figure 5. Example of deterioration and maintenance evolution of a two-unit system.…”

Section: Evaluation Of the Performance Criteria Of The Proposed Policymentioning

confidence: 99%

“…Thus, these points are denoted as regenerative points. However, at times 2 S , 4 S and 5 S , parts of system units are maintained and restored to their new states. Together with inspection points 1 S and 3 S , all these points are denoted as semi-regenerative points.…”

Section: Evaluation Of the Performance Criteria Of The Proposed Policymentioning

confidence: 99%

“…On the other hand, the interactions also offer the opportunity to group maintenance actions, which may save costs of system performance. Furthermore, improvements in analytical techniques and the availability of fast computers have allowed more complex systems to be investigated [2]. Over the past decades, there has been a growing interest in the modeling and optimization of maintenance of systems consisting of multiple units.…”

Section: Introductionmentioning

confidence: 99%

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Optimal Maintenance Modeling for Systems with Multiple Non-Identical Units Using Extended DSSP Method

Zhang¹,

Zeng²

2016

AJOR

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In the optimal maintenance modeling, all possible maintenance activities and their corresponding probabilities play a key role in modeling. For a system with multiple non-identical units, its maintenance requirements are very complicated, and it is time-consuming, even omission may occur when enumerating them with various combinations of units and even with different maintenance actions for them. Deterioration state space partition (DSSP) method is an efficient approach to analyze all possible maintenance requirements at each maintenance decision point and deduce their corresponding probabilities for maintenance modeling of multi-unit systems. In this paper, an extended DSSP method is developed for systems with multiple non-identical units considering opportunistic, preventive and corrective maintenance activities for each unit. In this method, different maintenance types are distinguished in each maintenance requirement. A new representation of the possible maintenance requirements and their corresponding probabilities is derived according to the partition results based on the joint probability density function of the maintained system deterioration state. Furthermore, focusing on a two-unit system with a non-periodical inspected condition-based opportunistic preventive-maintenance strategy; a long-term average cost model is established using the proposed method to determine its optimal maintenance parameters jointly, in which "hard failure" and non-negligible maintenance time are considered. Numerical experiments indicate that the extended DSSP method is valid for opportunistic maintenance modeling of multi-unit systems.

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Section: Introductionmentioning

confidence: 91%

Section: Evaluation Of the Performance Criteria Of The Proposed Policymentioning

confidence: 99%

Section: Evaluation Of the Performance Criteria Of The Proposed Policymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Optimal Maintenance Modeling for Systems with Multiple Non-Identical Units Using Extended DSSP Method

Zhang¹,

Zeng²

2016

AJOR

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show abstract

“…An extensive review on maintenance modeling and optimization of multi-unit systems has been presented by Thomas (1986), Cho and Parlar (1991), Dekker et al (1997), Wang (2002), Nicolai and Dekker (2006) and Nowakowski and Werbinka (2009). Interaction among different working units of a multi-unit system is an important factor when developing maintenance policies which differentiate the problems encountered in these models from the problems when dealing with single-unit systems.…”

Section: Introductionmentioning

confidence: 99%

Joint optimization of maintenance policy and inspection interval for a multi-unit series system using proportional hazards model

Jafari

Naderkhani

Makiš

2017

Journal of the Operational Research Society

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Unlike the previous maintenance models of multi-unit systems which considered condition-based maintenance (CBM) or age information separately, we propose a novel optimization model which is characterized by a combination of CBM and age information using proportional hazards model. The preventive maintenance is applied for the main two units, where one unit is the core part of the system and subject to CM, and only the age information for the second main unit is available. Also, the other units are adjusted or replaced each time when the system is maintained. The objective is to find an optimal opportunistic maintenance policy minimizing the long-run expected average cost per unit time. The problem is formulated and solved in the semi-Markov decision process framework. The formula for the mean residual life of the system is derived, which is an important statistic in practical applications. A practical example of a multi-unit system from a mining company is provided, and a comparison with other policies shows an outstanding performance of the new model and the control policy proposed in this paper.

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Reliability and Maintenance of the Surveillance Systems Considering Two Dependent Processes

Zhang

Pham

2015

Springer Series in Reliability Engineering

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On problems of multicomponent system maintenance modelling

Cited by 74 publications

References 52 publications

Optimal Maintenance Modeling for Systems with Multiple Non-Identical Units Using Extended DSSP Method

Optimal Maintenance Modeling for Systems with Multiple Non-Identical Units Using Extended DSSP Method

Joint optimization of maintenance policy and inspection interval for a multi-unit series system using proportional hazards model

Reliability and Maintenance of the Surveillance Systems Considering Two Dependent Processes

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