### Abstract

Original language | English |
---|---|

Pages (from-to) | 721-730 |

Number of pages | 10 |

Journal | IEEE Transactions on Reliability |

Volume | 63 |

Issue number | 3 |

Early online date | 22 Apr 2014 |

DOIs | |

Publication status | Published - 22 Apr 2014 |

### Fingerprint

### Keywords

- cumulative work load
- degradation failure
- gamma process
- load sharing system
- managed degradation

### Cite this

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*IEEE Transactions on Reliability*, vol. 63, no. 3, pp. 721-730. https://doi.org/10.1109/TR.2014.2315965

**A load sharing system reliability model with managed component degradation.** / Ye, Zhisheng; Revie, Matthew; Walls, Lesley.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A load sharing system reliability model with managed component degradation

AU - Ye, Zhisheng

AU - Revie, Matthew

AU - Walls, Lesley

N1 - (c) 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.

PY - 2014/4/22

Y1 - 2014/4/22

N2 - Motivated by an industrial problem affecting a water utility, we develop a model for a load sharing system where an operator dispatches work load to components in a manner that manages their degradation. We assume degradation is the dominant failure type, and that the system will not be subject to sudden failure due to a shock. By deriving the time to degradation failure of the system, estimates of system probability of failure are generated, and optimal designs can be obtained to minimize the long run average cost of a future system. The model can be used to support asset maintenance and design decisions. Our model is developed under a common set of core assumptions. That is, the operator allocates work to balance the level of the degradation condition of all components to achieve system performance. A system is assumed to be replaced when the cumulative work load reaches some random threshold. We adopt cumulative work load as the measure of total usage because it represents the primary cause of component degradation. We model the cumulative work load of the system as a monotone increasing and stationary stochastic process. The cumulative work load to degradation failure of a component is assumed to be inverse Gaussian distributed. An example, informed by an industry problem, is presented to illustrate the application of the model under different operating scenarios.

AB - Motivated by an industrial problem affecting a water utility, we develop a model for a load sharing system where an operator dispatches work load to components in a manner that manages their degradation. We assume degradation is the dominant failure type, and that the system will not be subject to sudden failure due to a shock. By deriving the time to degradation failure of the system, estimates of system probability of failure are generated, and optimal designs can be obtained to minimize the long run average cost of a future system. The model can be used to support asset maintenance and design decisions. Our model is developed under a common set of core assumptions. That is, the operator allocates work to balance the level of the degradation condition of all components to achieve system performance. A system is assumed to be replaced when the cumulative work load reaches some random threshold. We adopt cumulative work load as the measure of total usage because it represents the primary cause of component degradation. We model the cumulative work load of the system as a monotone increasing and stationary stochastic process. The cumulative work load to degradation failure of a component is assumed to be inverse Gaussian distributed. An example, informed by an industry problem, is presented to illustrate the application of the model under different operating scenarios.

KW - cumulative work load

KW - degradation failure

KW - gamma process

KW - load sharing system

KW - managed degradation

UR - http://www.scopus.com/inward/record.url?scp=84906951114&partnerID=8YFLogxK

U2 - 10.1109/TR.2014.2315965

DO - 10.1109/TR.2014.2315965

M3 - Article

VL - 63

SP - 721

EP - 730

JO - IEEE Transactions on Reliability

JF - IEEE Transactions on Reliability

SN - 0018-9529

IS - 3

ER -