Downlink power control in self-organizing dense small cells underlaying macrocells: A mean field game

IEEE Transactions on Mobile Computing

Volumn 15, Issue 2, 2016, Pages 350-363

  Semasinghe, Prabodini ^a   Hossain, Ekram ^a  

^a UNIVERSITY OF MANITOBA   (Canada)

Author keywords

5G cellular; Differential game; Distributed power control; Finite difference method; Lagrange relaxation; Lax Friedrichs scheme; Mean field game (MFG); Self organizing networks; Small cells; Stochastic geometry

Indexed keywords

ALGORITHMS; BASE STATIONS; CELLS; COST BENEFIT ANALYSIS; COST FUNCTIONS; COSTS; CYTOLOGY; FINITE DIFFERENCE METHOD; GAME THEORY; GEOMETRY; LAGRANGE MULTIPLIERS; STOCHASTIC SYSTEMS;

5G CELLULAR; DIFFERENTIAL GAMES; DISTRIBUTED POWER CONTROL; LAGRANGE RELAXATION; LAX-FRIEDRICHS SCHEME; MEAN FIELD GAMES; SELF-ORGANIZING NETWORK; SMALL CELLS; STOCHASTIC GEOMETRY;

POWER CONTROL;

EID: 84978226056     PISSN: 15361233     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMC.2015.2417880     Document Type: Article

References (47)

1. E. Hossain, M. Rasti, H. Tabassum, and A. Abdelnasser, "Evolution toward 5g multi-tier cellular wireless networks: An interference management perspective," IEEE Wireless Commun., vol. 21, no. 3, pp. 118-127, Jun. 2014.
2. D. López-Pérez, A. Valcarce, G. De La Roche, and J. Zhang, "Ofdma femtocells: A roadmap on interference avoidance," IEEE Commun. Mag., vol. 47, no. 9, pp. 41-48, Sep. 2009.
3. H. Claussen, L. T. Ho, and L. G. Samuel, "An overview of the femtocell concept," Bell Labs Tech. J., vol. 13, pp. 221-245, 2008.
4. M. Bennis, L. Giupponi, E. M. Diaz, M. Lalam, M. Maqbool, E. C. Strinati, A. De Domenico, and M. Latva-aho, "Interference management in self-organized femtocell networks: The befemto approach," in Proc. 2nd Int. Conf. Wireless Commun., Veh. Technol., Inf. Theory Aerospace Electron. Syst. Technol., 2011, pp. 1-6.
5. J.-H. Yun and K. G. Shin, "Ctrl: A self-organizing femtocell management architecture for co-channel deployment," in Proc. 16th Annu. Int. Conf. Mobile Comput. Netw., 2010, pp. 61-72.
6. J.-M. Lasry and P.-L. Lions, "Mean field games," Japanese J. Math., vol. 2, pp. 229-260, 2007.
7. M. Huang, P. E. Caines, and R. P. Malhamé, "Large-population cost-coupled LQG problems with nonuniform agents: Individualmass behavior and decentralized "-Nash equilibria," IEEE Trans. Autom. Control, vol. 52, no. 9, pp. 1560-1571, Sep. 2007.
8. M. Huang, R. P. Malhame, and P. E. Caines, "Large population stochastic dynamic games: Closed-loop mckean-vlasov systems and the Nash certainty equivalence principle," Commun. Inf. Syst., vol. 6, pp. 221-252, 2006.
9. O. Guéant, J.-M. Lasry, and P.-L. Lions, "Mean field games and applications," in Paris-Princeton Lectures on Mathematical Finance. New York, NY, USA: Springer, 2011, pp. 205-266.
10. H. Tembine, R. Tempone, and P. Vilanova, "Mean field games for cognitive radio networks," in Proc. Am. Control Conf., 2012, pp. 6388-6393.
11. R. Couillet, S. M. Perlaza, H. Tembine, and M. Debbah, "Electrical vehicles in the smart grid: A mean field game analysis," IEEE J. Sel. Areas Commun., vol. 30, no. 6, pp. 1086-1096, Jul. 2012.
12. F. Mériaux, V. Varma, and S. Lasaulce, "Mean field energy games in wireless networks," in Proc. 46th Asilomar Conf. Signals, Syst. Comput., 2012, pp. 671-675.
13. D. Bauso, B. M. Dia, B. Djehiche, H. Tembine, and R. Tempone, "Mean-field games for marriage," PloS one, vol. 9, p. e94933, 2014.
14. J. M. Schulte, "Adjoint methods for Hamilton-Jacobi-Bellman equations," Diploma Thesis, University of Munster, Germany, Nov. 2010.
15. I. W. Mustika, K. Yamamoto, H. Murata, and S. Yoshida, "Potential game approach for self-organized interference management in closed access femtocell networks," in Proc. IEEE 73rd Veh. Technol. Conf., 2011, pp. 1-5.
16. P. Semasinghe, E. Hossain, and K. Zhu, "An evolutionary game for distributed resource allocation in self-organizing small cells," IEEE Trans. Mobile Comput., vol. 14, no. 2, pp. 274-287, Feb. 2015.
17. X. Kang, Y.-C. Liang, and H. K. Garg, "Distributed power control for spectrum-sharing femtocell networks using Stackelberg game," in Proc. IEEE Int. Conf. Commun., 2011, pp. 1-5.
18. S. Guruacharya, D. Niyato, D. I. Kim, and E. Hossain, "Hierarchical competition for downlink power allocation in OFDMA femtocell networks," IEEE Trans. Wireless Commun., vol. 12, no. 4, pp. 1543-1553, Apr. 2013.
19. M. Bennis and S. M. Perlaza, "Decentralized cross-tier interference mitigation in cognitive femtocell networks," in Proc. IEEE Int. Conf. Commun., 2011, pp. 1-5.
20. D. T. Ngo, L. B. Le, T. Le-Ngoc, E. Hossain, and D. I. Kim, "Distributed interference management in two-tier CDMA femtocell networks," IEEE Trans. Wireless Commun., vol. 11, no. 3, pp. 979-989, Mar. 2012.
21. F. Mériaux, S. Lasaulce, and H. Tembine, "Stochastic differential games and energy-efficient power control," Dyn. Games Appl., vol. 3, pp. 3-23, 2013.
22. F. Mériaux and S. Lasaulce, "Mean-field games and green power control," in Proc. 5th Int. Conf. Netw. Games, Control Optimization, 2011, pp. 1-5.
23. H. Tembine, S. Lasaulce, and M. Jungers, "Joint power controlallocation for green cognitive wireless networks using mean field theory," in Proc. 5th Int. Conf. Cognitive Radio Oriented Wireless Netw. Commun., 2010, pp. 1-5.
24. J. Andrews, H. Claussen, M. Dohler, S. Rangan, and M. Reed, "Femtocells: Past, present, and future," IEEE J. Sel. Areas Commun., vol. 30, no. 3, pp. 497-508, Apr. 2012.
25. S. Srinivasa and M. Haenggi, "Modeling interference in finite uniformly random networks," in Proc. Int. Workshop Inf. Theory Sens. Netw., 2007, pp. 1-12.
26. S. Srinivasa and M. Haenggi, "Distance distributions in finite uniformly random networks: Theory and applications," IEEE Trans. Veh. Technol., vol. 59, no. 2, pp. 940-949, Feb. 2010.
27. A. Okabe, B. Boots, K. Sugihara, and S. N. Chiu, Spatial Tessellations: Concepts and Applications of Voronoi Diagrams. Hoboken, NJ, USA: Wiley, 2009, vol. 501.
28. M. Huang, P. E. Caines, and R. P. Malhamé, "Uplink power adjustment in wireless communication systems: A stochastic control analysis," IEEE Trans. Autom. Control, vol. 49, no. 10, pp. 1693-1708, Oct. 2004.
29. M. Huang, P. Caines, and R. P. Malhamé, "Individual and mass behaviour in large population stochastic wireless power control problems: Centralized and Nash equilibrium solutions," in Proc. 42nd IEEE Conf. Dec. Control, 2003, vol. 1, pp. 98-103.
30. T. Basar, G. J. Olsder, G. Clsder, T. Basar, T. Baser, and G. J. Olsder, Dynamic Noncooperative Game Theory. Philadelphia, PA, USA: SIAM, 1995, vol. 200.
31. Z. Han, Game Theory in Wireless and Communication Networks: Theory, Models, and Applications. Cambridge, U.K: Cambridge Univ. Press, 2012.
32. R. Bellman, "Dynamic programming and lagrange multipliers," in Proc. Nat. Acad. Sci. USA., vol. 42, no. 10, p. 767, 1956.
33. R. Bellman, Dynamic Programming. Princeton, NJ, USA: Princeton Univ. Press, 1957.
34. M. Bardi and I. Capuzzo-Dolcetta, Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations. New York, NY, USA: Springer, 2008.
35. H. Soner, "Controlled Markov processes, viscosity solutions and applications to mathematical finance," Viscosity Solutions Appl., Lecture Notes in Mathematics, vol. 1660, pp. 134-185, 1997.
36. L. C. Evans, "Partial differential equations," American Mathematical Society, 1998.
37. O. Guéant, "A reference case for mean field games models," J. De Math. Pures et Appliquées, vol. 92, pp. 276-294, 2009.
38. F. Baccelli and B. Blaszczyszyn, Stochastic Geometry and Wireless Networks: Volume 1: THEORY. NOW: Foundations and Trends in Networking, Boston-Delft, vol. 1, 2009.
39. M. Haenggi, J. G. Andrews, F. Baccelli, O. Dousse, and M. Franceschetti, "Stochastic geometry and random graphs for the analysis and design of wireless networks," IEEE J. Sel. Areas Commun., vol. 27, no. 7, pp. 1029-1046, Sep. 2009.
40. J. G. Andrews, F. Baccelli, and R. K. Ganti, "A tractable approach to coverage and rate in cellular networks," IEEE Trans. Commun., vol. 59, no. 11, pp. 3122-3134, Nov. 2011.
41. R. Ahmed, "Numerical schemes applied to the burgers and Buckley-Leverett equations," Ph.D. dissertation, Dept. Math., Univ. Reading, England, 2004.
42. M. Carter, "The Fredholm alternative and the Lagrange multiplier theorem," Supplementary Note for Foundations of Mathematical Economics, 2001.
43. S. Guruacharya, D. Niyato, D. I. Kim, and E. Hossain, "Hierarchical competition for downlink power allocation in OFDMA femtocell networks," IEEE Trans. Wireless Commun., vol. 12, no. 4, pp. 1543-1553, Apr. 2013.
44. V. N. Ha and L. B. Le, "Fair resource allocation for OFDMA Femtocell networks with Macrocell protection," IEEE Trans. Veh. Technol., vol. 63, no. 3, pp. 1388-1401, Mar. 2014.
45. A. Abdelnasser, E. Hossain, and D. I. Kim, "Clustering and resource allocation for dense Femtocells in a two-tier cellular OFDMA network," IEEE Trans. Wireless Commun., vol. 13, no. 3, pp. 1628-1641, Mar. 2014.
46. D. T. Ngo, L. B. Le, T. Le-Ngoc, E. Hossain, and D. I. Kim, "Distributed interference management in two-tier CDMA Femtocell networks," IEEE Trans. Wireless Commun., vol. 11, no. 3, pp. 979-989, Mar. 2012.
47. K. Zhu, E. Hossain, and A. Anpalagan, "Downlink power control in two-tier cellular OFDMA networks under uncertainties: A robust Stackelberg game," IEEE Trans. Commun., vol. 63, no. 2, pp. 520-535, Feb. 2015