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Social network analysis via multi-state reliability and conditional influence models

Author

Listed:
  • Schneider, Kellie
  • Rainwater, Chase
  • Pohl, Ed
  • Hernandez, Ivan
  • Ramirez-Marquez, Jose Emmanuel

Abstract

This paper incorporates multi-state reliability measures into the assessment of a social network in which influence is treated as a multi-state commodity that flows through the network. The reliability of the network is defined as the probability that at least a certain level of influence reaches an intended target. We consider an individual's influence level as a function of the influence levels received from preceding actors in the network. We define several communication functions which describe the level of influence a particular actor will pass along to other actors within the network. Illustrative examples are presented, and the network reliability under the various communication influence levels is computed using exhaustive enumeration for a small example and Monte Carlo simulation for larger, more realistic sized examples.

Suggested Citation

  • Schneider, Kellie & Rainwater, Chase & Pohl, Ed & Hernandez, Ivan & Ramirez-Marquez, Jose Emmanuel, 2013. "Social network analysis via multi-state reliability and conditional influence models," Reliability Engineering and System Safety, Elsevier, vol. 109(C), pages 99-109.
    • Handle: RePEc:eee:reensy:v:109:y:2013:i:c:p:99-109
    DOI: 10.1016/j.ress.2012.07.007
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    References listed on IDEAS

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    1. Park, Jinkyun, 2011. "The use of a social network analysis technique to investigate the characteristics of crew communications in nuclear power plants—A feasibility study," Reliability Engineering and System Safety, Elsevier, vol. 96(10), pages 1275-1291.
    2. Berghammer, Rudolf & Rusinowska, Agnieszka & de Swart, Harrie, 2010. "Applying relation algebra and RelView to measures in a social network," European Journal of Operational Research, Elsevier, vol. 202(1), pages 182-195, April.
    3. Joseph C. Hudson & Kailash C. Kapur, 1985. "Reliability Bounds for Multistate Systems with Multistate Components," Operations Research, INFORMS, vol. 33(1), pages 153-160, February.
    4. Berghammer, Rudolf & Rusinowska, Agnieszka & de Swart, Harrie, 2010. "Applying relation algebra and RelView to measures in a social network," European Journal of Operational Research, Elsevier, vol. 202(1), pages 182-195, April.
    5. J. Todd Hamill & Richard F. Deckro & Victor D. Wiley & Robert S. Renfro, 2007. "Gains, losses and thresholds of influence in social networks," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 2(4), pages 357-379.
    6. Richard E. Barlow & Alexander S. Wu, 1978. "Coherent Systems with Multi-State Components," Mathematics of Operations Research, INFORMS, vol. 3(4), pages 275-281, November.
    7. George S. Fishman, 1987. "The Distribution of Maximum Flow with Applications to Multistate Reliability Systems," Operations Research, INFORMS, vol. 35(4), pages 607-618, August.
    8. Jane, Chin-Chia & Laih, Yih-Wenn, 2010. "A dynamic bounding algorithm for approximating multi-state two-terminal reliability," European Journal of Operational Research, Elsevier, vol. 205(3), pages 625-637, September.
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    Cited by:

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