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The Internet, evolutionary variational inequalities, and the time-dependent Braess paradox

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  • Anna Nagurney
  • David Parkes
  • Patrizia Daniele

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  • Anna Nagurney & David Parkes & Patrizia Daniele, 2007. "The Internet, evolutionary variational inequalities, and the time-dependent Braess paradox," Computational Management Science, Springer, vol. 4(4), pages 355-375, October.
    • Handle: RePEc:spr:comgts:v:4:y:2007:i:4:p:355-375
    DOI: 10.1007/s10287-006-0027-7
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    References listed on IDEAS

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    1. Nagurney, Anna, 1989. "Migration equilibrium and variational inequalities," Economics Letters, Elsevier, vol. 31(1), pages 109-112.
    2. Stella Dafermos, 1980. "Traffic Equilibrium and Variational Inequalities," Transportation Science, INFORMS, vol. 14(1), pages 42-54, February.
    3. David E. Boyce & Hani S. Mahmassani & Anna Nagurney, 2005. "A retrospective on Beckmann, McGuire and Winsten's Studies in the Economics of Transportation," Papers in Regional Science, Wiley Blackwell, vol. 84(1), pages 85-103, March.
    4. Pas, Eric I. & Principio, Shari L., 1997. "Braess' paradox: Some new insights," Transportation Research Part B: Methodological, Elsevier, vol. 31(3), pages 265-276, June.
    5. Stella Dafermos & Anna Nagurney, 1984. "Sensitivity Analysis for the General Spatial Economic Equilibrium Problem," Operations Research, INFORMS, vol. 32(5), pages 1069-1086, October.
    6. Anna Nagurney, 2006. "Supply Chain Network Economics," Books, Edward Elgar Publishing, number 4242.
    7. Patrizia Daniele, 2006. "Dynamic Networks and Evolutionary Variational Inequalities," Books, Edward Elgar Publishing, number 3516.
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    Cited by:

    1. Timilehin Opeyemi Alakoya & Oluwatosin Temitope Mewomo, 2024. "Strong Convergent Inertial Two-subgradient Extragradient Method for Finding Minimum-norm Solutions of Variational Inequality Problems," Networks and Spatial Economics, Springer, vol. 24(2), pages 425-459, June.
    2. (Walker) Wang, Wei & Wang, David Z.W. & Sun, Huijun & Feng, Zengzhe & Wu, Jianjun, 2016. "Braess Paradox of traffic networks with mixed equilibrium behaviors," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 93(C), pages 95-114.
    3. Anna Nagurney & Qiang Qiang, 2008. "An efficiency measure for dynamic networks modeled as evolutionary variational inequalities with application to the Internet and vulnerability analysis," Netnomics, Springer, vol. 9(1), pages 1-20, January.
    4. D. Aussel & J. Cotrina, 2013. "Quasimonotone Quasivariational Inequalities: Existence Results and Applications," Journal of Optimization Theory and Applications, Springer, vol. 158(3), pages 637-652, September.
    5. Zhao, Chunxue & Fu, Baibai & Wang, Tianming, 2014. "Braess paradox and robustness of traffic networks under stochastic user equilibrium," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 61(C), pages 135-141.
    6. Laura Scrimali, 2008. "The financial equilibrium problem with implicit budget constraints," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 16(2), pages 191-203, June.
    7. Sun, Li & Liu, Like & Xu, Zhongzhi & Jie, Yang & Wei, Dong & Wang, Pu, 2015. "Locating inefficient links in a large-scale transportation network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 419(C), pages 537-545.
    8. Qiang, Patrick & Nagurney, Anna, 2012. "A bi-criteria indicator to assess supply chain network performance for critical needs under capacity and demand disruptions," Transportation Research Part A: Policy and Practice, Elsevier, vol. 46(5), pages 801-812.
    9. Toyasaki, Fuminori & Daniele, Patrizia & Wakolbinger, Tina, 2014. "A variational inequality formulation of equilibrium models for end-of-life products with nonlinear constraints," European Journal of Operational Research, Elsevier, vol. 236(1), pages 340-350.
    10. Patrizia Daniele & Sofia Giuffrè, 2015. "Random Variational Inequalities and the Random Traffic Equilibrium Problem," Journal of Optimization Theory and Applications, Springer, vol. 167(1), pages 363-381, October.

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