Analysis of the increase and decrease algorithms for congestion avoidance in computer networks
Computer Networks and ISDN Systems
A theoretical analysis of feedback flow control
SIGCOMM '90 Proceedings of the ACM symposium on Communications architectures & protocols
A control-theoretic approach to flow control
SIGCOMM '91 Proceedings of the conference on Communications architecture & protocols
Performance analysis of a feedback congestion control policy under non-negligible propagation delay
SIGCOMM '91 Proceedings of the conference on Communications architecture & protocols
Analysis of dynamic congestion control protocols: a Fokker-Planck approximation
SIGCOMM '91 Proceedings of the conference on Communications architecture & protocols
Analysis of a rate-based feedback control strategy for long haul data transport
Performance Evaluation - Special issue on performance modeling of high speed telecommunication systems
Intelligent congestion control for ABR service in ATM networks
ACM SIGCOMM Computer Communication Review
Some limit theorems for regenerative queues
Queueing Systems: Theory and Applications
Asymptotic analysis of adaptive rate control for diverse sources with delayed feedback
IEEE Transactions on Information Theory
Allocating fair rates for available bit rate service in ATM networks
IEEE Communications Magazine
Performance analysis of reactive congestion control for ATM networks
IEEE Journal on Selected Areas in Communications
Feedback-based flow control of B-ISDN/ATM networks
IEEE Journal on Selected Areas in Communications
Adaptive algorithms for feedback-based flow control in high-speed, wide-area ATM networks
IEEE Journal on Selected Areas in Communications
The rate-based flow control framework for the available bit rate ATM service
IEEE Network: The Magazine of Global Internetworking
Optimal structured feedback policies for ABR flow control using two-timescale SPSA
IEEE/ACM Transactions on Networking (TON)
Queues with Service Rate Controlled by a Delayed Feedback
Queueing Systems: Theory and Applications
Providing QoS to TCP and Real Time Connections in the Internet
Queueing Systems: Theory and Applications
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Motivated by ABR class of service in ATM networks, we study a continuous time queueing system with a feedback control of the arrival rate of some of the sources. The feedback about the queue length or the total workload is provided at regular intervals (variations on it, especially the traffic management specification TM 4.0, are also considered). The propagation delays can be nonnegligible. For a general class of feedback algorithms, we obtain the stability of the system in the presence of one or more bottleneck nodes in the virtual circuit. Our system is general enough that it can be useful to study feedback control in other network protocols. We also obtain rates of convergence to the stationary distributions and finiteness of moments. For the single botterneck case, we provide algorithms to compute the stationary distributions and the moments of the sojourn times in different sets of states. We also show analytically (by showing continuity of stationary distributions and moments) that for small propagation delays, we can provide feedback algorithms which have higher mean throughput, lower probability of overflow and lower delay jitter than any open loop policy. Finally these results are supplemented by some computational results.