Abstract
In this work, we present a fully distributed Learning algorithm for power allocation in HetNets, referred to as the FLAPH, that reaches the global optimum given by the total social welfare. Using a mix of macro and femto base stations, we discuss opportunities to maximize users global throughput. We prove the convergence of the algorithm and compare its performance with the well-established Gibbs and Max-logit algorithms which ensure convergence to the global optimum. Algorithms are compared in terms of computational complexity, memory space, and time convergence.
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References
Ghosh A, Ratasuk R, Mondal B, Mangalvedhe N, Thomas T (2010) LTE-advanced: next-generation wireless broadband technology. IEEE Wirel Commun 17(3):10–22
Advanced Wireless Technology Group (AWTG) (2013) Heterogeneous networks (HetNets) using small cells. White paper
Darmann A, Pferschy U, Schauer J (2010) Resource allocation with time intervals. Theor Comput Sci 411(49):4217–4234
Adeane J, Rodrigues MRD, Wassell IJ (2005) Centralized and distributed power allocation algorithms in cooperative networks. In: IEEE 6th international workshop on signal processing advances in wireless communications (SPAWC), New York, pp 333–337
Li J, Chen X, Botella C, Svensson T, Eriksson T (2012) Resource allocation for OFDMA systems with multi-cell joint transmission. In: IEEE 13th international workshop on signal processing advances in wireless communications (SPAWC), Cesme, pp 179–183
Li J, Svensson T, Botella C, Eriksson T, Xu X, Chen X (2012) Joint scheduling and power control in coordinated multi-point clusters. In: IEEE vehicular technology conference (VTC Fall), Yokohama, pp 1–5
Kauffmann B, Baccelli F, Chaintreau A, Mhatre V, Papagiannaki K, Diot C (2007) Measurement-based self organization of interfering 802.11 wireless access networks. In: 26th IEEE international conference on computer communications (INFOCOM), Anchorage, pp 1451–1459
Chen C, Baccelli F (2010) Self-optimization in mobile cellular networks: power control and user association. In: IEEE international conference on communications (ICC), Cape Town, pp 1–6
Borst S, Markakis M, Saniee I (2011) Distributed power allocation and user assignment in OFDMA cellular networks. In: The annual conference on communication, control, and computing, Allerton Park, pp 46–64
Bertsimas D, Tsitsiklis J (1993) Simulated annealing. Stat Sci 8(1):10–15
Hajek B (1988) Cooling schedules for optimal annealing. Math Oper Res 13(2):311–329
Song Y, Wong SHY, Lee K (2011) A Game theoretical approach to gateway selections in multi-domain wireless networks. In: Proceedings of the fifth annual conference of the international technology alliance
Xing Y, Maille P, Tuffin B, Chandramouli R (2009) User strategy learning when pricing a red buffer. Simul Model Pract Theor 17:548–557
Raghunathan V, Kumar P (2004) On delay-adaptive routing in wireless networks. In: 44th IEEE conference on decision and control (CDC), Seville, pp 4661–4666
Tuffin B, Maille P (2006) How many parallel TCP sessions to open: a pricing perspective. In: ICQT 2006. LNCS, vol 4033. Springer, Heidelberg, pp 2–12
Barth D, Echabbi L, Hamlaoui C (2008) Optimal transit price negotiation: the distributed learning perspective. J Univ Comput Sci 14(5):745–765
Xing Y, Chandramouli R (2008) Stochastic learning solution for distributed discrete power control game in wireless data networks. IEEE ACM Trans Netw 16(4):932–944
Shannon CE (1949) Communication in the presence of noise. In: Proceedings of the institute of radio engineers, pp 10–21
Borst S, Markakis M, Saniee I (2013) Nonconcave utility maximization in locally coupled systems, with applications to wireless and wireline networks. IEEE ACM Trans Netw 22(2):674–687
Ahmed Khan M, Tembine H, Vasilakos AV (2012) Game dynamics and cost of learning in heterogeneous 4G networks. IEEE J Sel Areas Commun 30(1):198–213
Hastings WK (1970) Monte carlo sampling methods using markov chains and their applications. Biometrika 57(1):97–109
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El Hammouti, H., Echabbi, L. & El Azouzi, R. A fully distributed learning algorithm for power allocation in heterogeneous networks. Computing 101, 1287–1303 (2019). https://doi.org/10.1007/s00607-019-00700-z
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DOI: https://doi.org/10.1007/s00607-019-00700-z