Alternative distributed algorithms for network utility maximization: Framework and applications

IEEE Transactions on Automatic Control

Volumn 52, Issue 12, 2007, Pages 2254-2269

  Palomar, Daniel P ^a,b   Chiang, Mung ^a  

^a Princeton University   (United States)

^b HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

Author keywords

Congestion control; Distributed algorithm; Mathematical programming optimization; Network control by pricing; Network utility maximization (NUM); Rate control; Resource allocation

Indexed keywords

CONGESTION CONTROL (COMMUNICATION); MATHEMATICAL PROGRAMMING; MESSAGE PASSING; PARALLEL ALGORITHMS; QUALITY OF SERVICE; RESOURCE ALLOCATION;

DUAL DECOMPOSITION; MULTIPATH ROUTING; NETWORK UTILITY MAXIMIZATION; RATE ALLOCATION;

NETWORK ARCHITECTURE;

EID: 38149002839     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2007.910665     Document Type: Article

References (49)

1. F. P. Kelly, A. Maulloo, and D. Tan, "Rate control for communication networks: Shadow prices, proportional fairness and stability," J. Oper. Res., vol. 49, no. 3, pp. 237-252, Mar. 1998.
2. R. Srikant, The Mathematics of Internet Congestion Control. New York: Birkhauser, 2004.
3. S. H. Low, "A duality model of TCP and queue management algorithms," IEEE/ACM Trans. Netw., vol. 11, no. 4, pp. 525-536, Aug. 2003.
4. S. Kunniyur and R. Srikant, "End-to-end congestion control: Utility functions, random losses and ECN marks," IEEE/ACM Trans. Netw., vol. 10, no. 5, pp. 689-702, Oct. 2003.
5. R. J. La and V. Anantharam, "Utility-based rate control in the internet for elastic traffic," IEEE/ACM Trans. Netw., vol. 9, no. 2, pp. 272-286, Apr. 2002.
6. S. H. Low and D. E. Lapsley, "Optimization flow control, I: Basic algorithm and convergence," IEEE/ACM Trans. Netw., vol. 7, no. 6, pp. 861-874, Dec. 1999.
7. J. Mo and J.Walrand, "Fair end-to-end window-based congestion control," IEEE/ACM Trans. Netw., vol. 8, no. 5, pp. 556-567, Oct. 2000.
8. M. Chiang, "Balancing transport and physical layer in wireless multihop networks: Jointly optimal congestion control and power control," IEEE J. Sel. Areas Commun., vol. 23, no. 1, pp. 104-116, Jan. 2005.
9. M. Chiang, S. H. Low, A. R. Calderbank, and J. C. Doyle, "Layering as optimization decomposition: A mathematical theory of network architectures," Proc. IEEE, vol. 95, no. 1, pp. 255-213, Jan. 2007.
10. L. Chen, S. H. Low, and J. C. Doyle, "Joint congestion control and media access control design for ad hoc wireless networks," presented at the IEEE INFOCOM, Miami, FL, Mar. 13-27, 2005.
11. S. Boyd and L. Vandenberghe, Convex Optimization. Cambridge, U.K.: Cambridge Univ. Press, 2004.
12. D. P. Bertsekas and J. N. Tsitsiklis, Parallel and Distributed Computation: Numerical Methods. Englewood Cliffs, NJ: Prentice-Hall, 1989.
13. J. L. R. Ford and D. R. Fulkerson, Flow in Networks. Princeton, NJ: Princeton Univ. Press, 1962.
14. D. P. Bertsekas and R. G. Gallager, Data Networks. Englewood Cliffs, NJ: Prentice-Hall, 1987.
15. L. S. Lasdon, Optimization Theory for Large Systems. New York: Macmillian, 1970.
16. D. P. Palomar, M. Bengtsson, and B. Ottersten, "Minimum BER linear transceivers for MIMO channels via primal decomposition," IEEE Trans. Signal Process., vol. 53, no. 8, pp. 2866-2882, Aug. 2005.
17. D. P. Palomar, "Convex primal decomposition for multicarrier linear MIMO transceivers," IEEE Trans. Signal Process., vol. 53, no. 12, Dec. 2005.
18. D. P. Palomar and M. Chiang, "Choices of distributed algorithms for wireless network resource allocation," presented at the IEEE Globecom, St. Louis, MO, Nov. 2005.
19. B. Johansson and M. Johansson, "Primal and dual approaches to distributed cross-layer optimization," presented at the 16th IFAC World Congr., Prague, Czech Republic, 2005.
20. M. Andrews, "Joint optimization of scheduling and congestion control in communication networks," presented at the CISS, 2006.
21. L. Chen, S. H. Low, M. Chiang, and J. C. Doyle, "Jointly optimal congestion control, routing, and scheduling for wireless ad hoc networks," presented at the IEEE INFOCOM, 2006.
22. A. Eryilmaz and R. Srikant, "Joint congestion control, routing and MACfor stability and fairness in wireless networks," IEEE J. Sel. Areas Comm., vol. 24, no. 8, Aug. 2006.
23. X. Lin and N. Shroff, "The impact of imperfect scheduling on crosslayer rate control in multihop wireless networks," presented at the IEEE INFOCOM, 2005.
24. A. L. Stolyar, "Maximizing queuing network utility subject to stability: Greedy primal-dual algorithm," Queueing Syst., vol. 50, no. 4, pp. 401-457, 2005.
25. X. Wang and K. Kar, "Cross-layer rate control for end-to-end proportional fairness in wireless networks with random access," presented at the ACM Mobihoc, 2005.
26. J. Lee, M. Chiang, and A. Calderbank, "Jointly optimal congestion and medium access control in ad hoc wireless networks," IEEE Commun. Lett., vol. 10, no. 3, pp. 216-218, Mar. 2006.
27. D. S. Lun, N. Ratnakar, M. Medard, R. Koetter, D. R. Karger, T. Ho, and E. Ahmed, "Minimum-cost multicast over coded packet networks," IEEE Trans. Inf. Theory, 2005.
28. Y. Wu and S. Y. Kung, "Distributed utility maximization for network coding based multicasting: A shortest path approach," IEEE J. Sel. Areas. Commun., Aug. 2006.
29. Y. Wu, M. Chiang, and S. Y. Kung, "Distributed utility maximization for network coding based multicasting: A critical cut approach," presented at the IEEE NetCod Workshop, Apr. 2006.
30. S. Bhadra, S. Shakkottai, and P. Gupta, "Min-cost selfish multicast with network coding," presented at the IEEE NetCodWorkshop, Apr. 2006.
31. L. Chen, T. Ho, S. H. Low, M. Chiang, and J. C. Doyle, "Optimization based rate control for multicasting with network coding," presented at the IEEE INFOCOM, Anchorage, AK, May 2007.
32. Y. Xi and E. M. Yeh, "Distributed algorithms for minimum cost multicast with network coding," presented at the IEEE NetCod Workshop, Apr. 2006.
33. D. P. Bertsekas, Nonlinear Programming, 2nd ed. Belmont, MA: Athena Scientific, 1999.
34. N. Z. Shor, Minimization Methods for Non-Differentiable Functions. Berlin, Germany: Springer-Verlag, 1985.
35. C. W. Tan, D. P. Palomar, and M. Chiang, "Distributed optimization of coupled systems with applications to network utility maximization," in Proc. IEEE Int. Conf. Acoustics Speech, and Signal Processing (ICASSP), Toulouse, France, May 14-19, 2006, vol. V, pp. 981-984.
36. D. P. Bertsekas, A. Nedic', and A. E. Ozdaglar, Convex Analysis and Optimization. Belmont, MA: Athena Scientific, 2003.
37. M. Mehyar, D. Spanos, and S. H. Low, "Optimization flow control with estimation error," presented at the IEEE INFOCOM, Hong Kong, China, Mar. 2004.
38. J. Zhang, D. Zheng, and M. Chiang, "The impact of stochastic noisy feedback on distributed network utility maximization," presented at the IEEE INFOCOM, Anchorage, AK, May 2007.
39. L. Xiao, M. Johansson, and S. Boyd, "Simultaneous routing and resource allocation via dual decomposition," IEEE Trans. Commun., vol. 52, no. 7, pp. 1136-1144, Jul. 2004.
40. K. Chandrayana and S. Kalyanaraman, "Uncooperative congestion control," presented at the ACM SIGMETRICS, New York, Jun. 2004.
41. M. Chiang, S. Zhang, and P. Hande, "Distributed rate allocation for inelastic flows: Optimization frameworksoptimaltiy condition, and optimal algorithms," presented at the IEEE INFOCOM,Miami, FL, Mar. 13-17, 2005.
42. I. C. Paschalidis and J. N. Tsitsiklis, "Congestion-dependent pricing of networks services," IEEE/ACM Trans. Netw., vol. 8, no. 2, pp. 171-184, Apr. 2000.
43. I. C. Paschalidis and Y. Liu, "Pricing in multiservice loss networks: Static pricing, asymptotic optimality, and demand substitution effects," IEEE/ACM Trans. Netw., vol. 10, no. 3, pp. 425-438, Jun. 2002.
44. M. H. D. Katabi and C. Rohrs, "Internet congestion control for high bandwidth-delay product networks," presented at the ACM Sigcomm, Aug. 2002.
45. N. Dukkipati, M. Kobayashi, Z. S. Rui, and N. McKeown, "Processor sharing flows in the internet," presented at the 13th Int. Workshop Quality of Service (IWQoS), Passau, Germany, Jun. 2005.
46. X. Lin and N. B. Shroff, "Utility maximization for communication networks with multipath routing," IEEE Trans. Autom. Control, vol. 51, no. 5, pp. 766-781, May 2006.
47. J. Wang, L. Li, S. H. Low, and J. C. Doyle, "Cross-layer optimization in TCP/IP networks," IEEE/ACM Trans. Netw., vol. 13, pp. 582-595, Jun. 2005.
48. J. Rexford, "Route optimization in IP networks," in Handbook of Optimization in Telecommunications. Norwell, MA: Kluwer, 2005.
49. D. Palomar and M. Chiang, "A tutorial on decomposition method and distributed network resource allocation," IEEE J. Sel. Areas Commun. vol. 24, no. 8, pp. 1439-1451, Aug. 2006.