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We studied a class of Service Overlay Network (SON) capacity allocation problem. By analyzing the problem with two different nonlinear optimization formulations, we show that the prices of offering service guarantees are closely related to a set of Lagrange multipliers. Moreover, if the Grade of service (GoS) constraints are not hard requirements, the network design resulting from the set of prices...
We study a problem where wireless service providers compete for heterogenous and atomic (non-infinitesimal) wireless users. The users differ in their utility functions as well as in the perceived quality of service of individual providers. We model the interaction of an arbitrary number of providers and users as a two-stage multi-leader-follower game, and prove existence and uniqueness of the subgame...
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