 
Summary: Risk sensitive optimal control framework applied to
delay tolerant networks
Eitan Altman, Veeraruna Kavitha+, Francesco De Pellegrini, Vijay Kamble and Vivek Borkar
Maestro group, INRIA, Sophia Antipolis, France. eitan.altman@inria.fr +LIA, University of Avignon, France. kavitha.voleti veeraruna@inria.fr
CREATENET, Trento, Italy. francesco.depellegrini@createnet.org EECS Dept, UC Berkeley. vjk@eecs.berkeley.edu
Tata Institute of Fundamental Research, Mumbai, INDIA. borkar@tifr.res.in
AbstractEpidemics 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
