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Utility-Based Time and Power Allocation on an Energy Harvesting Downlink: The Optimal Solution

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Abstract

In this paper, we consider the allocation of power level and time slots in a frame to multiple users, on an energy harvesting broadcast system. We focus on the offline problem where the transmitter is aware of the energy arrival statistics of a frame before the frame starts. The goal is to optimize throughput in a proportionally fair way, taking into account the inherent differences of channel quality among users. Analysis of structural characteristics of the problem reveals the biconvex nature of the problem. Due to biconvexity, a Block Coordinate Descent (BCD) based optimization algorithm that converges to one of the multiple optima is proposed. Simulation results show that the resulting allocation achieves a good balance between total throughput and fairness.

This work was supported by TUBITAK Grant 110E252.

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References

  1. Yang, J., Ulukus, S.: Transmission completion time minimization in an energy harvesting system. In: 44th Annual Conference on Information Sciences and Systems (CISS), pp. 1–6 (2010)

    Google Scholar 

  2. Antepli, M.A., Uysal-Biyikoglu, E., Erkal, H.: Optimal packet scheduling on an energy harvesting broadcast link. IEEE J. Sel. Areas Commun. 29(8), 1712–1731 (2011)

    Article  Google Scholar 

  3. Yang, J., Ozel, O., Ulukus, S.: Broadcasting with an energy harvesting rechargeable transmitter. IEEE Trans. Wirel. Commun. 11(2), 571–583 (2012)

    Article  Google Scholar 

  4. Tutuncuoglu, K., Yener, A.: Optimum transmission policies for battery limited energy harvesting systems. IEEE Trans. Wirel. Commun. (2011) (submitted)

    Google Scholar 

  5. Ozel, O., Tutuncuoglu, K., Yang, J., Ulukus, S., Yener, A.: Resource management for fading wireless channels with energy harvesting nodes. In: IEEE INFOCOM, pp. 456–460 (2011)

    Google Scholar 

  6. Ho, C., Zhang, R.: Optimal energy allocation for wireless communications powered by energy harvesters. In: IEEE ISIT, pp. 2368–2372 (2010)

    Google Scholar 

  7. Tekbiyik, N., Girici, T., Uysal-Biyikoglu, E., Leblebicioglu, K.: Proportional fair resource allocation on an energy harvesting downlink—Part I: structure, arXiv:1205.5147v1 [cs.NI], April 2012 (Submitted)

    Google Scholar 

  8. Mao, Z., Koksal, C.E., Shroff, N.B.: Resource allocation in sensor networks with renewable energy. In: IEEE ICCCN, pp. 1–6 (2010)

    Google Scholar 

  9. Bazaraa, M.S., Sherali, H.D., Shetty, C.M.: Nonlinear Programming Theory and Algorithms. Wiley, New Jersey (2006)

    Google Scholar 

  10. Luenberger, D.G., Ye, Y.: Linear and Nonlinear Programming. Springer, New York (2008)

    Google Scholar 

  11. Bertsekas, D.P.: Nonlinear Programming. Athena Scientific, Belmon (1999)

    Google Scholar 

  12. Gorlatova, M., Berstein, A., Zussman, G.: Performance evaluation of resource allocation policies for energy harvesting devices. In: IEEE Symposium on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks (WiOpt), pp. 189–196 (2011)

    Google Scholar 

  13. Tekbiyik, N., Uysal-Biyikoglu, E., Girici, T., Leblebicioglu, K.: A practical algorithm for proportional-fair downlink scheduling in the presence of energy harvesting. (Accepted, ISCIS 2012)

    Google Scholar 

  14. Mahmoodi, T., Friderikos, V., Holland, O., Aghvami, H.: Balancing sum rate and TCP throughput in OFDMA based wireless networks. In: IEEE ICC, pp. 1–6 (2010)

    Google Scholar 

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Correspondence to Neyre Tekbiyik .

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© 2013 Springer-Verlag London

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Tekbiyik, N., Uysal-Biyikoglu, E., Girici, T., Leblebicioglu, K. (2013). Utility-Based Time and Power Allocation on an Energy Harvesting Downlink: The Optimal Solution. In: Gelenbe, E., Lent, R. (eds) Computer and Information Sciences III. Springer, London. https://doi.org/10.1007/978-1-4471-4594-3_9

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  • DOI: https://doi.org/10.1007/978-1-4471-4594-3_9

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  • Print ISBN: 978-1-4471-4593-6

  • Online ISBN: 978-1-4471-4594-3

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