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Some stochastic comparisons in series systems with active redundancy

Author

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  • Valdés, José E.
  • Arango, Gerardo
  • Zequeira, Romulo I.
  • Brito, Gerandy

Abstract

We compare the lifetimes of series systems with different allocations of active redundancy using a variety of stochastic comparisons. It is assumed that only one spare can be allocated to each component of the system.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:80:y:2010:i:11-12:p:945-949
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    References listed on IDEAS

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    1. Ji Hwan Cha & Jie Mi & Won Young Yun, 2008. "Modelling a general standby system and evaluation of its performance," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 24(2), pages 159-169, March.
    2. Harshinder Singh & Radhey S. Singh, 1997. "Note: Optimal allocation of resources to nodes of series systems with respect to failure‐rate ordering," Naval Research Logistics (NRL), John Wiley & Sons, vol. 44(1), pages 147-152, February.
    3. 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.
    4. 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.
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    1. 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.
    2. 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.
    3. Lillo Rodríguez, Rosa Elvira & Laniado Rodas, Henry, 2013. "Allocation policies of redundancies in two-parallel-series and two-series-parallel systems," DES - Working Papers. Statistics and Econometrics. WS ws132622, Universidad Carlos III de Madrid. Departamento de Estadística.
    4. Zhao, Peng & Chan, Ping Shing & Ng, Hon Keung Tony, 2012. "Optimal allocation of redundancies in series systems," European Journal of Operational Research, Elsevier, vol. 220(3), pages 673-683.
    5. Zhao, Peng & Zhang, Yiying & Li, Long, 2015. "Redundancy allocation at component level versus system level," European Journal of Operational Research, Elsevier, vol. 241(2), pages 402-411.
    6. 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.
    7. Brito, Gerandy & Zequeira, Romulo I. & Valdés, José E., 2011. "On the hazard rate and reversed hazard rate orderings in two-component series systems with active redundancies," Statistics & Probability Letters, Elsevier, vol. 81(2), pages 201-206, February.

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