IDEAS home Printed from https://ideas.repec.org/a/wly/apsmbi/v36y2020i3p432-451.html
   My bibliography  Save this article

Allocations of cold standbys to series and parallel systems with dependent components

Author

Listed:
  • Xiaoyu Zhang
  • Yiying Zhang
  • Rui Fang

Abstract

In the context of industrial engineering, cold‐standby redundancies allocation strategy is usually adopted to improve the reliability of coherent systems. This paper investigates optimal allocation strategies of cold standbys for series and parallel systems comprised of dependent components with left/right tail weakly stochastic arrangement increasing lifetimes. For the case of heterogeneous and independent matched cold standbys, it is proved that better redundancies should be put in the nodes having weaker [better] components for series [parallel] systems. For the case of homogeneous and independent cold standbys, it is shown that more redundancies should be put in standby with weaker [better] components to enhance the reliability of series [parallel] systems. The results developed here generalize and extend those corresponding ones in the literature to the case of series and parallel systems with dependent components. Numerical examples are also presented to provide guidance for the practical use of our theoretical findings.

Suggested Citation

  • 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.
    • Handle: RePEc:wly:apsmbi:v:36:y:2020:i:3:p:432-451
    DOI: 10.1002/asmb.2497
    as

    Download full text from publisher

    File URL: https://doi.org/10.1002/asmb.2497
    Download Restriction: no
    File URL: https://libkey.io/10.1002/asmb.2497?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. Yun, Won Young & Cha, Ji Hwan, 2010. "Optimal design of a general warm standby system," Reliability Engineering and System Safety, Elsevier, vol. 95(8), pages 880-886.
    3. Karlin, Samuel & Rinott, Yosef, 1980. "Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions," Journal of Multivariate Analysis, Elsevier, vol. 10(4), pages 467-498, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Longlong Liu & Xiaochuan Ai & Jun Wu, 2024. "Reliability and Residual Life of Cold Standby Systems," Mathematics, MDPI, vol. 12(10), pages 1-22, May.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. 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.
    2. 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.
    3. Nowak, Piotr Bolesław, 2016. "The MLE of the mean of the exponential distribution based on grouped data is stochastically increasing," Statistics & Probability Letters, Elsevier, vol. 111(C), pages 49-54.
    4. Khaledi, Baha-Eldin & Shaked, Moshe, 2010. "Stochastic comparisons of multivariate mixtures," Journal of Multivariate Analysis, Elsevier, vol. 101(10), pages 2486-2498, November.
    5. Colangelo Antonio, 2005. "Multivariate hazard orderings of discrete random vectors," Economics and Quantitative Methods qf05010, Department of Economics, University of Insubria.
    6. Chi, Chang Koo & Murto, Pauli & Valimaki, Juuso, 2017. "All-Pay Auctions with Affiliated Values," MPRA Paper 80799, University Library of Munich, Germany.
    7. Arnaud Costinot & Jonathan Vogel, 2010. "Matching and Inequality in the World Economy," Journal of Political Economy, University of Chicago Press, vol. 118(4), pages 747-786, August.
    8. Rinott, Yosef & Scarsini, Marco, 2006. "Total positivity order and the normal distribution," Journal of Multivariate Analysis, Elsevier, vol. 97(5), pages 1251-1261, May.
    9. Gustavo Rodríguez, 1997. "First price auctions: Monotonicity and uniqueness," Economics Working Papers 208, Department of Economics and Business, Universitat Pompeu Fabra.
    10. repec:dau:papers:123456789/698 is not listed on IDEAS
    11. Vikram Krishnamurthy & Udit Pareek, 2015. "Myopic Bounds for Optimal Policy of POMDPs: An Extension of Lovejoy’s Structural Results," Operations Research, INFORMS, vol. 63(2), pages 428-434, April.
    12. Ilse Lindenlaub & Fabien Postel-Vinay, 2023. "Multidimensional Sorting under Random Search," Journal of Political Economy, University of Chicago Press, vol. 131(12), pages 3497-3539.
    13. Badía, F.G. & Sangüesa, C. & Cha, J.H., 2014. "Stochastic comparison of multivariate conditionally dependent mixtures," Journal of Multivariate Analysis, Elsevier, vol. 129(C), pages 82-94.
    14. Prokopovych, Pavlo & Yannelis, Nicholas C., 2019. "On monotone approximate and exact equilibria of an asymmetric first-price auction with affiliated private information," Journal of Economic Theory, Elsevier, vol. 184(C).
    15. Miravete, Eugenio J., 2011. "Convolution and composition of totally positive random variables in economics," Journal of Mathematical Economics, Elsevier, vol. 47(4-5), pages 479-490.
    16. Patricio S. Dalton & Sayantan Ghosal & Anandi Mani, 2016. "Poverty and Aspirations Failure," Economic Journal, Royal Economic Society, vol. 126(590), pages 165-188, February.
    17. Bhattacharya, Bhaskar, 2012. "Covariance selection and multivariate dependence," Journal of Multivariate Analysis, Elsevier, vol. 106(C), pages 212-228.
    18. Mizuno, Toshihide, 2003. "On the existence of a unique price equilibrium for models of product differentiation," International Journal of Industrial Organization, Elsevier, vol. 21(6), pages 761-793, June.
    19. Baha-Eldin Khaledi & Subhash Kochar, 2001. "Dependence Properties of Multivariate Mixture Distributions and Their Applications," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 53(3), pages 620-630, September.
    20. Moshe Shaked & J. Shanthikumar, 1990. "Parametric stochastic convexity and concavity of stochastic processes," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 42(3), pages 509-531, September.
    21. , & , & ,, 2008. "Credible ratings," Theoretical Economics, Econometric Society, vol. 3(3), September.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:apsmbi:v:36:y:2020:i:3:p:432-451. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1002/(ISSN)1526-4025 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.