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
Link To Document :
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