Random early detection gateways for congestion avoidance
IEEE/ACM Transactions on Networking (TON)
Fluid-based analysis of a network of AQM routers supporting TCP flows with an application to RED
Proceedings of the conference on Applications, Technologies, Architectures, and Protocols for Computer Communication
Packet-mode scheduling in input-queued cell-based switches
IEEE/ACM Transactions on Networking (TON)
Power allocation and routing in multibeam satellites with time-varying channels
IEEE/ACM Transactions on Networking (TON)
Fluid models and solutions for large-scale IP networks
SIGMETRICS '03 Proceedings of the 2003 ACM SIGMETRICS international conference on Measurement and modeling of computer systems
Achieving stability in networks of input-queued switches
IEEE/ACM Transactions on Networking (TON)
Interaction of TCP flows as billiards
IEEE/ACM Transactions on Networking (TON)
SHRiNK: a method for enabling scaleable performance prediction and efficient network simulation
IEEE/ACM Transactions on Networking (TON)
Using partial differential equations to model TCP mice and elephants in large IP networks
IEEE/ACM Transactions on Networking (TON)
The impact of imperfect scheduling on cross-layer congestion control in wireless networks
IEEE/ACM Transactions on Networking (TON)
IEEE/ACM Transactions on Networking (TON)
Fairness and optimal stochastic control for heterogeneous networks
IEEE/ACM Transactions on Networking (TON)
Control Techniques for Complex Networks
Control Techniques for Complex Networks
Inadequacy of the queue-based max-weight optimal scheduler on wireless links with TCP sources
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
Modeling Internet backbone traffic at the flow level
IEEE Transactions on Signal Processing
Scheduling and performance limits of networks with constantly changing topology
IEEE Transactions on Information Theory
On the stability of isolated and interconnected input-queueing switches under multiclass traffic
IEEE Transactions on Information Theory
On the stability of local scheduling policies in networks of packet switches with input queues
IEEE Journal on Selected Areas in Communications
Capacity limits of MIMO channels
IEEE Journal on Selected Areas in Communications
Dynamic power allocation and routing for time-varying wireless networks
IEEE Journal on Selected Areas in Communications
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We focus on the dynamic interaction in packet networks between regulated Additive-Increase Multiplicative-Decrease (AIMD) traffic sources and max-scalar scheduling policies (such as the popular Maximum Weight Matching - MWM) at switches. The latter were proved to be optimal in terms of throughput for stationary unregulated traffic sources. We describe the average dynamics of both traffic sources and switch queues through a system of Delay Differential Equations (DDEs), whose properties are thoroughly analyzed. Our study allows to gain important insights both on the system efficiency and on the long-term bandwidth share among connections. Our main finding is that AIMD sources and max-scalar switches coexist well.