[1]
F. Kelly, A. Maulloo, D. Tan, rate control for communication networks: shadow prices, proportional fairness and stability, Journal of operations reseach society, 1998, vol. 49, no. 3, pp.237-252.
DOI: 10.1038/sj.jors.2600523
Google Scholar
[2]
Xiaojun Lin and N. B. Shroff, Utility maximization for communication networks with mutipath routing, IEEE Transaction on automatic control, vo. 51, no. 5, pp.766-781, May (2006).
DOI: 10.1109/tac.2006.875032
Google Scholar
[3]
Zongkai Yang, Shengbin Liao, Wenqing Cheng, Joint power control and rate adaptation in wireless sensor networks, Elsevier Journal of Ad hoc networks, 2009, vo. 7, pp.401-410.
DOI: 10.1016/j.adhoc.2008.04.004
Google Scholar
[4]
L. Chen, T. Ho, M. Chiang, S. H. Low, and J. C. Doyle, Congestion control for multicast flows with network coding, IEEE Transactions on Information Theory, 2012, vol. 58, no. 9, pp.5908-5921.
DOI: 10.1109/tit.2012.2204170
Google Scholar
[5]
D. Xu, M. Chiang, and J. Rexford, Achieving optimal traffic engineering with link-state routing and hop-by-hop forwarding, IEEE/ACM Transactions on Networking, 2011, vol. 19, no. 6, pp.1717-1730.
DOI: 10.1109/tnet.2011.2134866
Google Scholar
[6]
M. J. Neely, Delay-Based Network Utility Maximization. IEEE/ACM Transactions on Networking, 2013, vol. 21, no. 1, pp.41-54.
DOI: 10.1109/tnet.2012.2191157
Google Scholar
[7]
K. Lee, H. Lee and E. Modiano, Reliability in layered networks with random link failures, IEEE/ACM Transactions on Networking, 2011, vol. 9, no. 6, pp.1835-1848.
DOI: 10.1109/tnet.2011.2143425
Google Scholar
[8]
J. W. Lee, M. Chiang, and R. A. Calderbank, Price-based distributed algorithm for optimal rate-reliability tradeoff in network utility maximization, IEEE Journal of Selected Areas in Communications, 2006, vol. 24, no. 5, pp.962-976.
DOI: 10.1109/jsac.2006.872877
Google Scholar
[9]
D. Bertsekas, Nolinear Programming, 2nd edition, Athena scientific, (1999).
Google Scholar