NDLI: Risk sensitive optimal control framework applied to delay tolerant networks

Content Provider	IEEE Xplore Digital Library
Author	Altman, E. Kavitha, V. De Pellegrini, F. Kamble, V. Borkar, V.
Copyright Year	2011
Description	Author affiliation: Maestro group, INRIA, Sophia Antipolis, France (Altman, E.; Kavitha, V.) \|\| EECS Dept, UC Berkeley, USA (Kamble, V.) \|\| CREATE-NET, Trento, Italy (De Pellegrini, F.) \|\| Tata Institute of Fundamental Research, Mumbai, INDIA (Borkar, V.)
Abstract	Epidemics dynamics can describe the dissemination of information in delay tolerant networks, in peer to peer networks and in content delivery networks. The control of such dynamics has thus gained a central role in all of these areas. However, a major difficulty in this context is that the objective functions to be optimized are often not additive in time but are rather multiplicative. The classical objective function in DTNs, i.e., the successful delivery probability of a message within a given deadline, falls precisely in this category, because it takes often the form of the expectation of the exponent of some integral cost. So far, models involving such costs have been solved by interchanging the order of expectation and the exponential function. While reducing the problem to a standard optimal control problem, this interchange is only tight in the mean field limit obtained as the population tends to infinity. In this paper we identify a general framework from optimal control in finance, known as risk sensitive control, which let us handle the original (multiplicative) cost and obtain solutions to several novel control problems in DTNs. In particular, we can derive the structure of state-dependent controls that optimize transmission power at the source node. Further, we can account for the propagation loss factor of the wireless medium while obtaining these controls, and, finally, we address power control at the destination node, resulting in a novel threshold optimal activation policy. Combined optimal power control at source and destination nodes is also obtained.
Starting Page	3146
Ending Page	3154
File Size	719240
Page Count	9
File Format	PDF
ISBN	9781424499199
ISSN	0743166X
e-ISBN	9781424499212
DOI	10.1109/INFCOM.2011.5935161
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	Mobile communication Optimal control Power control Markov processes Equations Switches Wireless communication Risk Sensitive Control Delay Tolerant Networks Markov Decision Process
Content Type	Text
Resource Type	Article
Subject	Computer Science Electrical and Electronic Engineering

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