Observations on the dynamics of a congestion control algorithm: the effects of two-way traffic
SIGCOMM '91 Proceedings of the conference on Communications architecture & protocols
Random early detection gateways for congestion avoidance
IEEE/ACM Transactions on Networking (TON)
Simulation-based comparisons of Tahoe, Reno and SACK TCP
ACM SIGCOMM Computer Communication Review
The performance of TCP/IP for networks with high bandwidth-delay products and random loss
IEEE/ACM Transactions on Networking (TON)
Modeling TCP throughput: a simple model and its empirical validation
Proceedings of the ACM SIGCOMM '98 conference on Applications, technologies, architectures, and protocols for computer communication
A stochastic model of TCP/IP with stationary random losses
Proceedings of the conference on Applications, Technologies, Architectures, and Protocols for Computer Communication
State-dependent M/G/1 type queueing analysis for congestion control in data networks
Computer Networks: The International Journal of Computer and Telecommunications Networking
Loss strategies for competing AIMD flows
Computer Networks: The International Journal of Computer and Telecommunications Networking
Versatile stochastic models for networks with asymmetric TCP sources
Performance Evaluation
On the impact of random losses on TCP performance in coded wireless mesh networks
INFOCOM'10 Proceedings of the 29th conference on Information communications
Analysis of DCTCP: stability, convergence, and fairness
Proceedings of the ACM SIGMETRICS joint international conference on Measurement and modeling of computer systems
Analysis of DCTCP: stability, convergence, and fairness
ACM SIGMETRICS Performance Evaluation Review - Performance evaluation review
How many parallel TCP sessions to open: a pricing perspective
ICQT'06 Proceedings of the 5th international conference on Internet Charging and QoS Technologies: performability has its Price
Modeling network coded TCP throughput: a simple model and its validation
Proceedings of the 5th International ICST Conference on Performance Evaluation Methodologies and Tools
A study of TCP performance in wireless environment using fixed-point approximation
Computer Networks: The International Journal of Computer and Telecommunications Networking
Passive online RTT estimation for flow-aware routers using one-way traffic
NETWORKING'10 Proceedings of the 9th IFIP TC 6 international conference on Networking
Automatica (Journal of IFAC)
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Many mathematical models exist for describing the behavior of TCP/IP (TCP: transmission control protocol) under an exogenous loss process that does not depend on the window size. The goal of this paper is to present a mathematical analysis of two asymmetric competing TCP connections where loss probabilities are directly related to their instantaneous window size, and occur when the sum of throughputs attains a given level. We obtain bounds for the stationary throughput of each connection, as well as an exact expression for symmetric connections. This allows us to further study the fairness as a function of the different round trip times. We avoid the simplifying artificial synchronization assumption that has frequently been used in the past to study similar problems, according to which whenever one connection looses a packet, the other one looses a packet as well.