2011 IEEE Vehicular Technology Conference (VTC Fall) 2011
DOI: 10.1109/vetecf.2011.6092973
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Maximization of the Minimum Rate by Geometric Programming for Multiple Users in Partial Frequency Reuse Cellular Networks

Abstract: We apply constrained optimization techniques to optimally allocate the bandwidth and power to the users in a cellular network. Partial frequency reuse with multiple users in the inner region and the outer region is considered as inter-cell interference mitigation scheme. We show that the maximization of the minimum rate under variable bandwidth and variable power can be transformed into a geometric programming problem and solved efficiently using disciplined convex programming. CVX is used to solve the transfo… Show more

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Cited by 5 publications
(4 citation statements)
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“…In the second approach, by taking some simplifications, the underlying problem can be transformed into a generalized geometric program, which, in turn, can be solved by exploiting convex optimization techniques. Although this approach has already been used in resource allocation problems, for instance [11], their scope was not the same and the corresponding problem formulation was therefore different.…”
Section: Introductionmentioning
confidence: 99%
“…In the second approach, by taking some simplifications, the underlying problem can be transformed into a generalized geometric program, which, in turn, can be solved by exploiting convex optimization techniques. Although this approach has already been used in resource allocation problems, for instance [11], their scope was not the same and the corresponding problem formulation was therefore different.…”
Section: Introductionmentioning
confidence: 99%
“…However, Heterogeneous Networks (HetNets) which consist of conventional macro cells overlaid by small cells are currently proposed as the most feasible method to improve spectrum utilization specially that spectral efficiency has reached its limit. DSAn and PRAn are implemented using rate adaptive and COMP schemes in [6], [7] to maximize the system throughput. Geometric programming is used in [6] to optimize users minimum rate under variable bandwidth and variable power.…”
Section: Introductionmentioning
confidence: 99%
“…DSAn and PRAn are implemented using rate adaptive and COMP schemes in [6], [7] to maximize the system throughput. Geometric programming is used in [6] to optimize users minimum rate under variable bandwidth and variable power. Resource partitioning is proposed in [7] to improve the performance of HetNets using a two cell selection criterion, one based on maximizing the received signal strength with a potential bias and the other based on maximizing the product of signal to interference plus noise ratio (SINR) and bias.…”
Section: Introductionmentioning
confidence: 99%
“…This type of solutions are inspired on a wide range of models including collisions [82], cross-layer designs [83], and interference graphs [84]. Tools commonly used to solve these generic ICIC formulations encompass game theory [85][86][87][88][89], programming techniques [90][91][92][93], and learning algorithms [94,95].…”
Section: Model Typementioning
confidence: 99%