IDEAS home Printed from https://ideas.repec.org/a/spr/annopr/v109y2002i1p331-34210.1023-a1016368606348.html
   My bibliography  Save this article

Reliability Importance Measures of the Components in a System Based on Semivalues and Probabilistic Values

Author

Listed:
  • Josep Freixas
  • M. Puente

Abstract

The main contribution of this paper consists in providing different ways to value importance measures for components in a given reliability system or in an electronic circuit. The main tool used is a certain type of semivalues and probabilistic values. One of the results given here extends the indices given by Birnbaum [3] and Barlow and Proschan [2], which respectively coincide with the Banzhaf [1] and the Shapley and Shubik [15] indices so well-known in game theory. Copyright Kluwer Academic Publishers 2002

Suggested Citation

  • Josep Freixas & M. Puente, 2002. "Reliability Importance Measures of the Components in a System Based on Semivalues and Probabilistic Values," Annals of Operations Research, Springer, vol. 109(1), pages 331-342, January.
    • Handle: RePEc:spr:annopr:v:109:y:2002:i:1:p:331-342:10.1023/a:1016368606348
    DOI: 10.1023/A:1016368606348
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1023/A:1016368606348
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1023/A:1016368606348?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    Citations

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


    Cited by:

    1. Carreras, Francesc & Llongueras, Maria Dolors & Puente, María Albina, 2009. "Partnership formation and binomial semivalues," European Journal of Operational Research, Elsevier, vol. 192(2), pages 487-499, January.
    2. Xiaoyan Zhu & Way Kuo, 2014. "Importance measures in reliability and mathematical programming," Annals of Operations Research, Springer, vol. 212(1), pages 241-267, January.
    3. Maurice Koster & Sascha Kurz & Ines Lindner & Stefan Napel, 2017. "The prediction value," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 48(2), pages 433-460, February.
    4. Michael Jones & Jennifer Wilson, 2010. "Multilinear extensions and values for multichoice games," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 72(1), pages 145-169, August.
    5. Francesc Carreras & María Albina Puente, 2022. "On the axiomatic characterization of the coalitional multinomial probabilistic values," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 30(1), pages 119-151, April.
    6. Freixas, Josep & Kurz, Sascha, 2013. "The golden number and Fibonacci sequences in the design of voting structures," European Journal of Operational Research, Elsevier, vol. 226(2), pages 246-257.
    7. Francesc Carreras & María Albina Puente, 2015. "Multinomial Probabilistic Values," Group Decision and Negotiation, Springer, vol. 24(6), pages 981-991, November.
    8. Margarita Domènech & José Miguel Giménez & María Albina Puente, 2022. "Weak null, necessary defender and necessary detractor players: characterizations of the Banzhaf and the Shapley bisemivalues," Annals of Operations Research, Springer, vol. 318(2), pages 889-910, November.
    9. Carreras, Francesc & Puente, María Albina, 2015. "Coalitional multinomial probabilistic values," European Journal of Operational Research, Elsevier, vol. 245(1), pages 236-246.
    10. Félix Belzunce & Moshe Shaked, 2004. "Failure profiles of coherent systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(4), pages 477-490, June.
    11. Francesc Carreras & María Albina Puente, 2018. "A note on multinomial probabilistic values," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 26(1), pages 164-186, April.
    12. Margarita Domènech & José Miguel Giménez & María Albina Puente, 2020. "Some Properties for Bisemivalues on Bicooperative Games," Journal of Optimization Theory and Applications, Springer, vol. 185(1), pages 270-288, April.
    13. José Giménez & María Puente, 2015. "A method to calculate generalized mixed modified semivalues: application to the Catalan Parliament (legislature 2012–2016)," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 23(3), pages 669-684, October.
    14. Francesc Carreras & María Albina Puente, 2012. "Symmetric Coalitional Binomial Semivalues," Group Decision and Negotiation, Springer, vol. 21(5), pages 637-662, September.

    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:spr:annopr:v:109:y:2002:i:1:p:331-342:10.1023/a:1016368606348. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.