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Some new stochastic comparisons for redundancy allocations in series and parallel systems

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  • Li, Xiaohu
  • Hu, Xiaoxiao

Abstract

This note studies the allocation of an active redundant component in a series system. We mainly conduct a stochastic comparison between random lives of a series system with two components under two allocation choices. The case with a standby redundancy and when the system is parallel are discussed as well.

Suggested Citation

  • Li, Xiaohu & Hu, Xiaoxiao, 2008. "Some new stochastic comparisons for redundancy allocations in series and parallel systems," Statistics & Probability Letters, Elsevier, vol. 78(18), pages 3388-3394, December.
    • Handle: RePEc:eee:stapro:v:78:y:2008:i:18:p:3388-3394
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    References listed on IDEAS

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    1. Mark Bagnoli & Ted Bergstrom, 2006. "Log-concave probability and its applications," Studies in Economic Theory, in: Charalambos D. Aliprantis & Rosa L. Matzkin & Daniel L. McFadden & James C. Moore & Nicholas C. Yann (ed.), Rationality and Equilibrium, pages 217-241, Springer.
    2. Valdés, José E. & Zequeira, Rómulo I., 2003. "On the optimal allocation of an active redundancy in a two-component series system," Statistics & Probability Letters, Elsevier, vol. 63(3), pages 325-332, July.
    3. Arcones M. A. & Kvam P. H. & Samaniego F. J., 2002. "Nonparametric Estimation of a Distribution Subject to a Stochastic Precedence Constraint," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 170-182, March.
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    Cited by:

    1. Xiaohu Li & Zhengcheng Zhang & Yudan Wu, 2009. "Some new results involving general standby systems," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 25(5), pages 632-642, September.
    2. Belzunce, Félix & Martínez-Puertas, Helena & Ruiz, José M., 2013. "On allocation of redundant components for systems with dependent components," European Journal of Operational Research, Elsevier, vol. 230(3), pages 573-580.
    3. Valdés, José E. & Arango, Gerardo & Zequeira, Romulo I. & Brito, Gerandy, 2010. "Some stochastic comparisons in series systems with active redundancy," Statistics & Probability Letters, Elsevier, vol. 80(11-12), pages 945-949, June.
    4. Peng Zhao & Ping Shing Chan & Long Li & Hon Keung Tony Ng, 2013. "Allocation of two redundancies in two‐component series systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(7), pages 588-598, October.
    5. Zohreh Pakdaman & Jafar Ahmadi, 2019. "Switching time of the standby component to the k-out-of-n:G system in the stress–strength setup," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 82(2), pages 225-248, March.
    6. Misra, Amit Kumar & Misra, Neeraj, 2011. "A note on active redundancy allocations in k-out-of-n systems," Statistics & Probability Letters, Elsevier, vol. 81(10), pages 1518-1523, October.
    7. Xiaohu Li & Gaofeng Da & Peng Zhao, 2012. "Competing Between Two Groups of Individuals Following Frailty Models," Methodology and Computing in Applied Probability, Springer, vol. 14(4), pages 1033-1051, December.
    8. Xiaoyu Zhang & Yiying Zhang & Rui Fang, 2020. "Allocations of cold standbys to series and parallel systems with dependent components," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 36(3), pages 432-451, May.
    9. Montes, Ignacio & Montes, Susana, 2016. "Stochastic dominance and statistical preference for random variables coupled by an Archimedean copula or by the Fr e ´ chet–Hoeffding upper bound," Journal of Multivariate Analysis, Elsevier, vol. 143(C), pages 275-298.
    10. Shuming Wang & Yan-Fu Li & Tong Jia, 2020. "Distributionally Robust Design for Redundancy Allocation," INFORMS Journal on Computing, INFORMS, vol. 32(3), pages 620-640, July.
    11. Zhao, Peng & Zhang, Yiying & Chen, Jianbin, 2017. "Optimal allocation policy of one redundancy in a n-component series system," European Journal of Operational Research, Elsevier, vol. 257(2), pages 656-668.

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