PENG Lihong,ZHANG Heying，JIANG Xinwen，DOU Wenhua . Development of a PriceBased Congestion Control Model[J]. Computer Engineering & Science, 2011 , 33(2) : 7 -11 . DOI: 10.3969/j.issn.1007130X.2011.

［1］Jacobson V. Congestion Avoidance and Control ［J］.ACM Computer Communication Review, 1988, 18(4):314329.
［2］Chui D, Jain R. Analysis of the Increase and Decrease Algorithms for Congestion Avoidance in Computer Networks ［J］.Computer Networks and ISDN Systems, 1989,17(1):114.
［3］Hollot C, Misra V, Towsley D,et al.A Control Theoretic Analysis of RED ［C］∥Proc of IEEE INFOCOM’01, 2001:15101519.
［4］Firoiu V, Borden M. A Study of Active Queue Management for Congestion Control ［C］ ∥ Proc of IEEE INFOCOM’00, 2000:14351444.
［5］Kelly F. Changing and Rate Control for Elastic Traffic ［J］.European Trans on Telecommunications, 1997,8(1):3337.
［6］Kelly F, Maulloo A, Tan D. Rate Control for Communication Networks: Shadow Prices, Proportional Fairness and Stability ［J］.Journal of the Operations Research Society, 1998,49(3):237252.
［7］Shenker S. Fundamental Design Issues for the Future Internet ［J］.IEEE Selected Areas Commun, 1995,13:11761188.
［8］Mamatas L, Harks T, Tsaoussidis V. Approaches to Congestion Control in Packet Networks ［J］.Journal of Internet Engineering, 2007,1(1):2233.
［9］Cao Z, Zegura E. Utility MaxMin: An ApplicationOriented Bandwidth Allocation Sheme ［C］ ∥Proc of IEEE INFOCOM’99, 1999:793801.
［10］http://skype.com/products/explained.html.
［11］Cohen B. Incentives Built Robustness in BitTorrent ［C］ ∥Proc of P2P Economics Workshop, 2003.
［12］Lan T, Lin X, Chiang M,et al.How Bad is Suboptimal Rate Allocation ［C］ ∥Proc of IEEE INFOCOM’08, 2008:321325.
［13］Lin X, Shroff B. The Impact of Imperfect Scheduling on CrossLayer Congestion Control in Wireless Networks ［J］.IEEE/ACM Trans on Networking, 2006,14(2):302315.
［14］Tang A, Wang J, Low S H, et al. Equilibrium of Heterogeneous Congestion Control Protocols ［C］∥Proc of IEEE INFOCOM’05, 2005:13381349.
［15］Lee J, Mazumdar R, Shroff N. NonConvex Optimization and Rate Control for MultiClass Services in the Internet ［J］.IEEE/ACM Trans on Networking, 2005(13):10631092.
［16］Hande P, Zhang S, Chiang M. Distributed Rate Allocation for Inelastic Flows ［J］.IEEE/ACM Trans on Networking, 2007,15(6):12401253.
［17］Cho J, Chong S. Utility MaxMin Flow Control Using Slope Restricted Utility Functions ［J］.IEEE Trans on Communications, 2007,55(5):963972.
［18］Miller K, Harks T. Utility MaxMin Fair Congestion Control with TimeVarying Delays ［C］ ∥Proc of IEEE INFOCOM’08, 2008:331335.
［19］Liu J, Proutiere A, Yi Y,et al. FlowLevel Stability of Data Networks with NonConvex and TimeVarying Rate Regions ［C］ ∥Proc of ACM Sigmetrics, 2007:239250.
［20］Han H, Shakkottai S. Overlay TCP for MultiPath Routing and Congestion Control ［C］ ∥ The IMA Workshop on Measurements and Modeling of the Internet, 2004.
［21］Lin X , Shroff N B. Utility Maximization for Communication Networks with MultiPath Routing［J］.IEEE Trans on Automatic Control, 2006, 51(5):766781.
［22］Wang J, Li L, Low S, et al.CrossLayer Optimization in TCP/IP Networks ［J］.IEEE/ACM Trans on Networking, 2005, 13(3):582568.
［23］Key P, Massoulié L, Towsley D. Path Selection and Multipath Congestion Control ［C］∥Proc of IEEE INFOCOM’07, 2007:143151.
［24］Chen L, Low S, Doyle J. CrossLayer Congestion Control, Routing and Scheduling Design in Ad Hoc Wireless Networks ［C］ ∥Proc of IEEE INFOCOM’06, 2006: 113.
［25］Chiang M, Low S, Calderbank A,et al.Layering As Optimization Decomposition: A Mathematical Theory of Network Architectures ［J］.Proc  of IEEE, 2007,95(1):255312.
［26］Lin X,Shroff N B,Srikant R. On the Connection Level Stability of CongestionControlled Communication Networks ［J］.IEEE Trans on Information Theory, 2008(5):23172338.
［27］Tang A, Wang J, Hegde S,et al. Equilibrium and Fairness of Networks Shared by TCP Reno and Vegas/FAST ［C］ ∥Proc of Telecommunications SystemsSpecial Issue on High Speed Transport Protocols, 2005:417439.