NDLI: Optimal control of epidemic evolution

Content Provider	IEEE Xplore Digital Library
Author	Khouzani, M.H.R. Sarkar, S. Altman, E.
Copyright Year	2011
Description	Author affiliation: ESE, University of Pennsylvania, USA (Khouzani, M.H.R.; Sarkar, S.) \|\| INRIA, Sophia Antipolis, France (Altman, E.)
Abstract	Epidemic models based on nonlinear differential equations have been extensively applied in a variety of systems as diverse as infectious outbreaks, marketing, diffusion of beliefs, etc., to the dissemination of messages in MANET or p2p networks. Control of such systems is achieved at the cost of consuming the resources. We construct a unifying framework that models the interactions of the control and the elements in systems with epidemic behavior. Specifically, we consider non-replicative and replicative dissemination of messages in a network: a pre-determined set of disseminators distribute the messages in the former, whereas the disseminator set continually grows in the latter as the nodes that receive the patch become disseminators themselves. In both cases, the desired trade-offs can be attained by activating at any given time only fractions of disseminators and selecting their dissemination rates. We formulate the above trade-offs as optimal control problems that seek to minimize a general aggregate cost function which cogently depends on both the states and the overall resource consumption. We prove that the dynamic control strategies have simple structures: (1) it is never optimal to activate a partial fraction of the disseminators (all or none) (2) when the resource consumption cost is concave, the distribution rate of the activated nodes are bang-bang with at most one jump from the maximum to the minimum value. When the resource consumption cost is convex, the above transition is strict but continuous. We compare the efficacy and robustness of different dispatch models and also those of the optimum dynamic and static controls using numerical computations.
Starting Page	1683
Ending Page	1691
File Size	877123
Page Count	9
File Format	PDF
ISBN	9781424499199
ISSN	0743166X
e-ISBN	9781424499212
DOI	10.1109/INFCOM.2011.5934963
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2011-04-10
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Variable speed drives
Content Type	Text
Resource Type	Article
Subject	Computer Science Electrical and Electronic Engineering

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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