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References in periodicals archive ?
[r.sup.*] (p) is the optimal rate allocation vector of followers with the given pricing p of leaders.
Given that p is decided by service providers (multiple leaders) as well as other weight factors, users (multiple followers) maximize their own utility ([U.sub.user]) by selecting their rate allocation vectors while guaranteeing a minimum QoS requirement.
The author in [15] proposed and investigated a scheme that modified network allocation vector update process of voice terminals based on EDCA.
Figure 8 demonstrates that the proposed two-level network allocation vector scheme can be vastly superior to the conventional mechanism with the redundant time increasing, which verifies the superiority and correctness of the proposed scheme.
In this part, given the power allocation vector [P.sub.S] at the source nodes, the optimal power allocation vector [P.sup.o.sub.R] at the relay will be first derived.
To describe airline competitive behavior, we will consider the following game, where prices and allocation vectors are set as airlines strategies.
[[bar.x].sub.TwoLinks] is the optimal solution to the TwoLinks problem and therefore [[bar.R].sub.TwoLinks] is the optimal rate allocation vector for the TwoLinks problem.
* noCSNAV: No carrier is sensed, but the network allocation vector is set; channel is busy.
Hence, a possible allocation vector is [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII], and the corresponding projection matrix is
Therefore, given the condition SIN[R.sup.m.sub.i] = SIN[R.sup.b.sub.i], the BC power allocation vector q is able to be obtained through the dual MAC power allocation vector p.
It noteworthy that the constraints in (10b) and (10c) are nonconcave functions with respect to the power allocation vectors and the scaling factor, and hence cannot be solved by techniques relying on the Karush-Kuhn-Tucker (KKT) conditions.
where [P.sup.*.sub.s], [P.sup.*.sub.r] are the transmit power allocation vectors for subcarriers at BS and relay nodes which can get from the analysis of Algorithm I.