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Start-up demonstration tests with sparse connection

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  • Zhao, Xian
  • Wang, Xiaoyue
  • Sun, Ge

Abstract

Based on the concept of sparse connection, three start-up demonstration tests with sparse connection are introduced which are called CSTF with sparse d1, TSCF with sparse d2 and CSCF with sparse d3 and d4. The traditional start-up demonstration tests such as CSTF, TSCF and CSCF are special cases of these new tests. Furthermore, the new tests exhibit obvious improvement in test efficiency. In this paper, by using the finite Markov chain imbedding approach, several probabilistic indexes are given for these new start-up demonstration tests based on the assumption that the tests are i.i.d. case. The analyses are also extended to independent and non-identical and Markov dependent cases. In addition, procedures are provided in order to determine the optimal parameters needed in a demonstration test for selecting the products to meet the reliability requirement. Three comparison analyses are finally presented in order to illustrate the high efficiency of these new start-up demonstration tests and the effectiveness of this method.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:ejores:v:243:y:2015:i:3:p:865-873
    DOI: 10.1016/j.ejor.2015.01.002
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    References listed on IDEAS

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    1. DePoy Smith, Michelle L. & Griffith, William S., 2008. "The analysis and comparison of start-up demonstration tests," European Journal of Operational Research, Elsevier, vol. 186(3), pages 1029-1045, May.
    2. Martin, Donald E. K., 2004. "Markovian start-up demonstration tests with rejection of units upon observing d failures," European Journal of Operational Research, Elsevier, vol. 155(2), pages 474-486, June.
    3. N. Balakrishnan & P. Chan, 2000. "Start-Up Demonstration Tests with Rejection of Units upon Observing d Failures," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 52(1), pages 184-196, March.
    4. Martin, Donald E.K., 2008. "Application of auxiliary Markov chains to start-up demonstration tests," European Journal of Operational Research, Elsevier, vol. 184(2), pages 574-583, January.
    5. Bersimis, Sotiris & Koutras, Markos V. & Maravelakis, Petros E., 2014. "A compound control chart for monitoring and controlling high quality processes," European Journal of Operational Research, Elsevier, vol. 233(3), pages 595-603.
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    Cited by:

    1. 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.
    2. Zhao, Xian & Guo, Xiaoxin & Wang, Xiaoyue, 2018. "Reliability and maintenance policies for a two-stage shock model with self-healing mechanism," Reliability Engineering and System Safety, Elsevier, vol. 172(C), pages 185-194.
    3. Wang, Xiaoyue & Zhao, Xian & Wang, Siqi & Sun, Leping, 2020. "Reliability and maintenance for performance-balanced systems operating in a shock environment," Reliability Engineering and System Safety, Elsevier, vol. 195(C).
    4. Xiaoyan Zhu & Mahmoud Boushaba & Abdelmoumene Boulahia & Xian Zhao, 2019. "A linear m-consecutive-k-out-of-n system with sparse d of non-homogeneous Markov-dependent components," Journal of Risk and Reliability, , vol. 233(3), pages 328-337, June.
    5. Gera, Amos E., 2018. "Simultaneous demonstration tests involving sparse failures," Statistics & Probability Letters, Elsevier, vol. 135(C), pages 26-31.
    6. Lin, Cong & Zeng, Zhaoyang & Zhou, Yan & Xu, Ming & Ren, Zhanyong, 2019. "A lower bound of reliability calculating method for lattice system with non-homogeneous components," Reliability Engineering and System Safety, Elsevier, vol. 188(C), pages 36-46.

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