Performance of ad hoc networks with two-hop relay routing and limited packet lifetime
valuetools '06 Proceedings of the 1st international conference on Performance evaluation methodolgies and tools
Optimal monotone forwarding policies in delay tolerant mobile ad-hoc networks
Proceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools
Optimal activation and transmission control in delay tolerant networks
INFOCOM'10 Proceedings of the 29th conference on Information communications
Correlated jamming on MIMO Gaussian fading channels
IEEE Transactions on Information Theory
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We consider a multi-criteria control problem that arises in a delay tolerant network with two adversarial controllers: the source and the jammer. The source's objective is to choose transmission probabilities so as to maximize the probability of successful delivery of some content to the destination within a deadline. These transmissions are subject to interference from a jammer who is a second, adversarial type controller, We solve three variants of this problem: (1) the static one, where the actions of both players, u and w, are constant in time; (2) the dynamic open loop problem in which all policies may be time varying, but independent of state, the number of already infected mobiles; and (3) the dynamic closed-loop feedback policies where actions may change in time and may be specified as functions of the current value of the state (in which case we look for feedback Nash equilibrium). We obtain some explicit expressions for the solution of the first game, and some structural results as well as explicit expressions for the others. An interesting outcome of the analysis is that the latter two games exhibit switching times for the two players, where they switch from pure to mixed strategies and vice versa. Some numerical examples included in the paper illustrate the nature of the solutions.