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Proceedings ArticleDOI

A maximum dispersion approach for rate feasibility problems in SINR model

TLDR
This paper proposes a maximum dispersion based approach for the problem of determining the feasibility of a set of single-hop rates in SINR model and confirms that such an approach performs significantly better than the existing work.
Abstract
In this paper, we propose a maximum dispersion based approach for the problem of determining the feasibility of a set of single-hop rates in SINR model. Recent algorithmic work on capacity maximization has focused on maximizing the number of simultaneously scheduled links. We show that such an approach is not suitable for the problem. We present a polynomial time algorithm to determine the feasibility. We present several simulation results to evaluate the proposed approach. The results confirm that maximum dispersion-based approach is well suited for the problem and that such an approach performs significantly better than the existing work.

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References
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Journal ArticleDOI

Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks

TL;DR: The stability of a queueing network with interdependent servers is considered and a policy is obtained which is optimal in the sense that its Stability Region is a superset of the stability region of every other scheduling policy, and this stability region is characterized.
Proceedings ArticleDOI

Complexity in geometric SINR

TL;DR: The first NP-completeness proofs in the geometric SINR model, which explicitly uses the fact that nodes are distributed in the Euclidean plane, are presented, which proves two problems to be NP-complete: Scheduling and One-Shot Scheduling.
Proceedings ArticleDOI

Topology control meets SINR: the scheduling complexity of arbitrary topologies

TL;DR: This paper defines and study a generalized version of the SINR model and obtains theoretical upper bounds on the scheduling complexity of arbitrary topologies in wireless networks, and proves that even in worst-case networks, if the signals are transmitted with correctly assigned transmission power levels, the number of time slots required to successfully schedule all links of an arbitrary topology is proportional to the squared logarithm.
Journal ArticleDOI

Heuristic and special case algorithms for dispersion problems

TL;DR: This work shows that if the distances do not satisfy the triangle inequality, there is no polynomial-time relative approximation algorithm unless P = NP and proves that obtaining a performance guarantee of less than two is NP-hard.
Proceedings ArticleDOI

Maximizing Capacity in Arbitrary Wireless Networks in the SINR Model: Complexity and Game Theory

TL;DR: It is shown that maximizing the number of supported connections is NP-hard, even when there is no background noise, in contrast to the problem of determining whether or not a given set of connections is feasible since that problem can be solved via linear programming.
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