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Statistical design of a VSI-EWMA control chart for monitoring the communications among individuals in a weighted social network

Author

Listed:
  • Ali Salmasnia

    (University of Qom)

  • Mohammadreza Namdar

    (University of Qom)

  • Mina Abolfathi

    (University of Qom)

  • Parinaz Ajaly

    (University of Qom)

Abstract

Recently, social network monitoring has attracted much attention because it helps to governments for preventing social challenges. Most of the existing papers in the literature suffer from three remarkable drawbacks: (1) applying the pre-determined parameters for the control charts while design of these parameters by an optimization procedure results in a chart with more power to detect the network changes; (2) Using the fixed-parameter control charts that are less flexible than the adaptive control charts; (3) Considering the fixed shift size for the changes whereas in the real situation the shift size within social networks are variable and stochastic. To overcome the mentioned disadvantages, this study presents a statistical design of exponentially weighted moving average control chart with variable sampling interval for monitoring the total communications among individuals in a weighted and directed social network. Also, to more adapt with the real condition of the social networks, this paper considers a probability distribution for shift size in the network communications. The particle swarm optimization algorithm determines the chart parameters in a way that the average time to signal be optimized. Eventually, a comparative study is executed to indicate efficiency of the suggested approach in comparison with the existing studies. The results demonstrate that this control chart has better performance than fixed-parameter charts in detecting the network changes.

Suggested Citation

  • Ali Salmasnia & Mohammadreza Namdar & Mina Abolfathi & Parinaz Ajaly, 2021. "Statistical design of a VSI-EWMA control chart for monitoring the communications among individuals in a weighted social network," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 12(3), pages 495-508, June.
    • Handle: RePEc:spr:ijsaem:v:12:y:2021:i:3:d:10.1007_s13198-021-01098-8
    DOI: 10.1007/s13198-021-01098-8
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    References listed on IDEAS

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    1. Wu, Zhang & Shamsuzzaman, M. & Wang, Qinan, 2007. "The cost minimization and manpower deployment to SPC in a multistage manufacturing system," International Journal of Production Economics, Elsevier, vol. 106(1), pages 275-287, March.
    2. Celano, Giovanni & De Magalhães, Maysa S. & Costa, Antonio F.B. & Fichera, Sergio, 2011. "A stochastic shift model for economically designed charts constrained by the process stage configuration," International Journal of Production Economics, Elsevier, vol. 132(2), pages 315-325, August.
    3. William H. Woodall & Meng J. Zhao & Kamran Paynabar & Ross Sparks & James D. Wilson, 2017. "An overview and perspective on social network monitoring," IISE Transactions, Taylor & Francis Journals, vol. 49(3), pages 354-365, March.
    4. Chao-Yu Chou & Chung-Ho Chen & Hui-Rong Liu, 2006. "Economic Design of EWMA Charts with Variable Sampling Intervals," Quality & Quantity: International Journal of Methodology, Springer, vol. 40(6), pages 879-896, December.
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