• DocumentCode
    3164929
  • Title

    Cost of fairness in disease spread control

  • Author

    Vijayshankar, A. ; Roy, Sandip

  • Author_Institution
    Dept. of Electr. Eng. & Comput. Sci., Washington State Univ., Pullman, WA, USA
  • fYear
    2012
  • fDate
    10-13 Dec. 2012
  • Firstpage
    4930
  • Lastpage
    4935
  • Abstract
    This article studies the cost of fairness in designing controls (allocating resources) to mitigate disease spread, in the context of canonical network models for spread. Specifically, the performance of an optimal design in terms of the reduction in spread rate is compared with that of a fair one: an algebraic bound on the difference in performance (or cost of fairness) is obtained, and this bound is further characterized in the case that the spread topology is specially structured (e.g., a regular or random graph).
  • Keywords
    control system synthesis; diseases; eigenvalues and eigenfunctions; epidemics; graph theory; medical control systems; optimal control; optimisation; resource allocation; algebraic bound; control design; disease spread control; disease spread mitigation; eigenvalue optimization problem; fairness cost; optimal design; performance difference; random graph; regular graph; resource allocation; spread rate reduction; spread topology; Diseases; Eigenvalues and eigenfunctions; Mathematical model; Network topology; Next generation networking; Resource management; Topology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
  • Conference_Location
    Maui, HI
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-4673-2065-8
  • Electronic_ISBN
    0743-1546
  • Type

    conf

  • DOI
    10.1109/CDC.2012.6426109
  • Filename
    6426109