Risk sensitive optimal control framework applied to delay tolerant networks

—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 ...

• Type: Journal
• Year: 2011
• Where: INFOCOM
• Authors: Eitan Altman, Veeraruna Kavitha, Francesco De Pellegrini, Vijay Kamble, Vivek S. Borkar
• Keywords: Communications, Destination Nodes, INFOCOM 2011, Objective Function, Optimal Control