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Stochastic and semidefinite optimization for scheduling in orthogonal frequency division multiple access networks

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Abstract

In this paper, we propose stochastic binary quadratic programs for the scheduling resource allocation process of a wireless orthogonal frequency division multiple access network. More precisely, we formulate a two-stage stochastic model, then we further extend the two-stage model by introducing a knapsack probabilistic constrained approach, and finally we propose a multi-stage stochastic program for this problem. The models are aimed at minimizing the total power consumption of the network at each time slot of the scheduling process subject to user bit rates, sub-carrier and modulation linear constraints. In order to compute lower bounds, we derive linear and semidefinite programming relaxations for each of the proposed models. The bounds are also compared with a basic variable neighborhood search metaheuristic approach. Numerical results show tight lower bounds for the semidefinite relaxations when compared to the linear ones and with the metaheuristic. Moreover, near optimal solutions are found with the semidefinite relaxations for the two-stage model without using probabilistic constraints and for the multi-stage program as well.

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Notes

  1. \(BER\) stands for bit error rate and measures the number of erroneous bits over all the bits sent through a particular telecommunication channel.

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Acknowledgments

The author Pablo Adasme is grateful for the financial support given by Conicyt Chilean government through the Insertion project number: 79100020. We are grateful to the referees for their valuable comments to improve this paper.

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Authors and Affiliations

  1. Departamento de Ingeniería Eléctrica, Universidad de Santiago de Chile, Avenida Ecuador, 3519 , Santiago, Chile

    Pablo Adasme

  2. Laboratoire de Recherche en Informatique, Université Paris-Sud XI, Bâtiment 650, 91190 , Orsay Cedex, France

    Abdel Lisser

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  1. Pablo Adasme
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  2. Abdel Lisser
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Correspondence to Pablo Adasme.

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Adasme, P., Lisser, A. Stochastic and semidefinite optimization for scheduling in orthogonal frequency division multiple access networks. J Sched 17, 445–469 (2014). https://doi.org/10.1007/s10951-013-0333-1

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