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Reliability demonstration test for load-sharing systems with exponential and Weibull components

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  • Jianyu Xu
  • Qingpei Hu
  • Dan Yu
  • Min Xie

Abstract

Conducting a Reliability Demonstration Test (RDT) is a crucial step in production. Products are tested under certain schemes to demonstrate whether their reliability indices reach pre-specified thresholds. Test schemes for RDT have been studied in different situations, e.g., lifetime testing, degradation testing and accelerated testing. Systems designed with several structures are also investigated in many RDT plans. Despite the availability of a range of test plans for different systems, RDT planning for load-sharing systems hasn’t yet received the attention it deserves. In this paper, we propose a demonstration method for two specific types of load-sharing systems with components subject to two distributions: exponential and Weibull. Based on the assumptions and interpretations made in several previous works on such load-sharing systems, we set the mean time to failure (MTTF) of the total system as the demonstration target. We represent the MTTF as a summation of mean time between successive component failures. Next, we introduce generalized test statistics for both the underlying distributions. Finally, RDT plans for the two types of systems are established on the basis of these test statistics.

Suggested Citation

  • Jianyu Xu & Qingpei Hu & Dan Yu & Min Xie, 2017. "Reliability demonstration test for load-sharing systems with exponential and Weibull components," PLOS ONE, Public Library of Science, vol. 12(12), pages 1-19, December.
    • Handle: RePEc:plo:pone00:0189863
    DOI: 10.1371/journal.pone.0189863
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    References listed on IDEAS

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    1. Min Kim & Bong-Jin Yum, 2009. "Reliability acceptance sampling plans for the Weibull distribution under accelerated Type-I censoring," Journal of Applied Statistics, Taylor & Francis Journals, vol. 36(1), pages 11-20.
    2. Zhao, Xian & Wang, Xiaoyue & Sun, Ge, 2015. "Start-up demonstration tests with sparse connection," European Journal of Operational Research, Elsevier, vol. 243(3), pages 865-873.
    3. Zhang, Chunhua & Lu, Xiang & Tan, Yuanyuan & Wang, Yashun, 2015. "Reliability demonstration methodology for products with Gamma Process by optimal accelerated degradation testing," Reliability Engineering and System Safety, Elsevier, vol. 142(C), pages 369-377.
    4. Saul Blumenthal & J. Arthur Greenwood & Leon H. Herbach, 1984. "Series Systems and Reliability Demonstration Tests," Operations Research, INFORMS, vol. 32(3), pages 641-648, June.
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    Cited by:

    1. Azeem Ali & Sanku Dey & Haseeb Ur Rehman & Zeeshan Ali, 2019. "On Bayesian reliability estimation of a 1-out-of-k load sharing system model of modified Burr-III distribution," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(5), pages 1052-1081, October.
    2. Qin, Shuidan & Wang, Bing Xing & Tsai, Tzong-Ru & Wang, Xiaofei, 2023. "The prediction of remaining useful lifetime for the Weibull k-out-of-n load-sharing system," Reliability Engineering and System Safety, Elsevier, vol. 233(C).

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