Towards efficient and fair resource allocation in wireless networks

Stańczak, Sławomir; Feistel, A.; Boche, Holger; Wiczanowski, Marcin

doi:10.1109/wiopt.2008.4586070

Cited by 1 publication

(8 citation statements)

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“…Furthermore, the irreducibility of A in C2 is also a standard assumption in power control problems [1]. It means the users cannot be divided in two disjoint groups without at least one user in one group being interfered by a user in the other group.…”

Section: A Typical Power Control Problemsmentioning

confidence: 99%

“…To ensure minimum QoS levels, the QoS per link i is generically described here by a function v i (γ i ), which can e.g., represent rate when (1)] is constrained not to exceed q max i . In this way for instance, weak links are protected from excessive interference.…”

Section: ) Minimum Qos Supportmentioning

confidence: 99%

“…The resulting signal-to-interference-plus-noise ratio (SINR) is the main indicator of each link's quality-of-service (QoS). The aim is to regulate the transmitpowers so that a sum of utility functions of the SINR across links is maximized, under constraints, which may include minimum QoS support in terms of SINR, maximum interference constraints, maximum receive-power constraints, or, a combination of application-dependent minimum and maximum QoS expressed in terms of SINR; see e.g., [1]- [5].…”

Section: Introductionmentioning

confidence: 99%

“…Instead, gradients of the Lagrangian function with respect to the primal variables and Lagrange multipliers are used in order to find a saddle point of the Lagrangian; see e.g., [6,Sec. 3.5], [7], [8] and also [1], [4] for applications to power control.…”

Section: Introductionmentioning

confidence: 99%

“…In order for these gradients to be made available at the various nodes, some exchange of information is necessary through the reversed network or message passing-see e.g., [9,Ch. 6], [1] for the former, and [10], [5] for the latter. As exchanges may be imperfect, they result in erroneous gradients.…”

Section: Introductionmentioning

confidence: 99%

See 4 more Smart Citations

Power Control With Imperfect Exchanges and Applications to Spectrum Sharing

Gatsis

Giannakis²

2011

IEEE Trans. Signal Process.

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In various applications, the effect of errors in gradient-based iterations is of particular importance when seeking saddle points of the Lagrangian function associated with constrained convex optimization problems. Of particular interest here are problems arising in power control applications, where network utility is maximized subject to minimum signal-to-interference-plus-noise ratio (SINR) constraints, maximum interference constraints, maximum received power constraints, or simultaneous minimum and maximum SINR constraints. Especially when the gradient iterations are executed in a disributed fashion, imperfect exchanges among the link nodes may result in erroneous gradient vectors. In order to assess and cope with such errors, two running averages (ergodic sequences) are formed from the iterates generated by the perturbed saddle point method, each with complementary strengths. Under the assumptions of problem convexity and error boundedness, bounds on the constraint violation and the suboptimality per iteration index are derived. The two types of running averages are tested on a spectrum sharing problem with minimum and maximum SINR constraints, as well as maximum interferece constraints.

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Section: A Typical Power Control Problemsmentioning

confidence: 99%

Section: ) Minimum Qos Supportmentioning

confidence: 99%