By Leonidas Georgiadis Mike Neely Leandros Tassiulas
ISBN-10: 1933019263
ISBN-13: 9781933019260
ISBN-10: 1933019697
ISBN-13: 9781933019697
Source Allocation and go Layer regulate in instant Networks offers summary versions that seize the move layer interplay from the actual to move layer in instant community architectures together with mobile, ad-hoc and sensor networks in addition to hybrid wireless-wireline. The emphasis within the presentation is on describing the versions and the algorithms with software examples that illustrate the diversity of attainable functions. consultant circumstances are analyzed in complete element to demonstrate the applicability of the research options, whereas in different circumstances the consequences are defined with no proofs and references to the literature are supplied.
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Additional resources for Resource Allocation and Cross Layer Control in Wireless Networks (Foundations and Trends in Networking, V. 1, No. 1)
Example text
Single Hop Capacity Region) The single hop capacity region Λ consists of all rate vectors λ = (λ1 , . . , λL ) such that there exists a vector (G1 , . . , GL ) ∈ Cl{Γ} such that λl ≤ Gl for all network links l ∈ {1, . . , L}. We skip the proof of necessity of this corollary and concentrate on the proof of sufficiency since this is important for the subsequent development and demonstrates the design issues involved. Proof. (Sufficiency) Suppose for simplicity that Λ has full dimension. Suppose each link l ∈ {1, .
L + 1}). It follows that: E {µ(t) |S(t) = s } = E {C(I(t), S(t)) |S(t) = s } = Gs . 14) 36 Stability and Network Capacity This strategy results in a matrix µ(t) consisting of individual service rate processes µl (t) for each link l. Claim: If S(t) evolves according to a finite state irreducible Markov chain, then each service process µl (t) is admissible with time average rate µl = Gl . A formal proof of the claim is given in [115]. 14). Thus, the queue for each link l has an admissible input with rate λl and an admissible service process with time average rate µl = Gl , where µl is strictly larger than λl .
However, when traffic is outside of the capacity region the achieved throughput moves along the boundary in the wrong direction, yielding throughputs that are increasingly “unfair” because it favors service of the higher traffic rate stream. Like the Borst policy, the Max µi /ri policy leads to instability for all (stabilizable) input rates on the ray segment c-d, and yields throughput that is strictly interior to the capacity region even when inputs exceed system capacity (compare points e and e ).
Resource Allocation and Cross Layer Control in Wireless Networks (Foundations and Trends in Networking, V. 1, No. 1) by Leonidas Georgiadis Mike Neely Leandros Tassiulas
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