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An extended geometric process repairable model with its repairman having vacation

  • S.I.: Reliability Modeling with Applications Based on Big Data
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Abstract

In this paper, a new single component repairable system model with a repairman is proposed. Assume that the successive working time interval of the component and the successive repair time interval after repair is described by the extended geometric process. The repairman has multiple vacation when the component is working, and component is repaired delayed with a given probability when it fails. The component will work again when it repaired. Under the assumption, the explicit expression of the long-run average cost rate function of the system based on the failure number of the component is derived. Numerical cases are designed to illustrate the long-run average cost rate function of the proposed model. Finally, sensitive analysis of parameters is carried out.

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Acknowledgements

This work is supported by the National Natural science Foundation of China [Grant Number 61573014] and the Fundamental Research Funds for the Central Universities [Grant Number JB180702]. The authors would like to thank sincerely the editor and the anonymous referees for furnishing components and valuable suggestions that improved the quality of this paper.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Xidian University, Xi’an, 710071, China

    Junyuan Wang, Jimin Ye, Qianru Ma & Pengfei Xie

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  1. Junyuan Wang
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  2. Jimin Ye
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  3. Qianru Ma
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  4. Pengfei Xie
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Correspondence to Jimin Ye.

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Wang, J., Ye, J., Ma, Q. et al. An extended geometric process repairable model with its repairman having vacation. Ann Oper Res 311, 401–415 (2022). https://doi.org/10.1007/s10479-019-03187-1

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