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Opportunistic Maintenance for Multi-component Shock Models

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Abstract

This paper is concerned with opportunistic maintenance on a multi-component cumulative damage shock model with stochastically dependent components. A component fails when its cumulative damage exceeds a given threshold, and any such a failure creates a maintenance opportunity, and triggers a simultaneous repair on all the components, including the non-failed ones, such that damages accumulated at various components are reduced to certain degrees. Utilizing the coupling method, stochastic maintenance comparisons on failure occurrences under different model parameters are obtained. Some positive dependence properties of this multi-component shock model are also presented.

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Authors and Affiliations

  1. School of Management & Economics, Beijing Institute of Technology, Beijing, 100081, People’s Republic of China

    Lirong Cui

  2. Department of Mathematics, Washington State University, Pullman, WA, 99164, USA

    Haijun Li

Authors
  1. Lirong Cui
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  2. Haijun Li
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Corresponding author

Correspondence to Haijun Li.

Additional information

Lirong Cui: Supported by the NSF of China grant 70371048.

Haijun Li: Supported in part by the NSF grant DMI 9812994.

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Cui, L., Li, H. Opportunistic Maintenance for Multi-component Shock Models. Math Meth Oper Res 63, 493–511 (2006). https://doi.org/10.1007/s00186-005-0058-9

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  • DOI: https://doi.org/10.1007/s00186-005-0058-9

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