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