# Concave switching in single and multihop networks

@article{Walton2014ConcaveSI, title={Concave switching in single and multihop networks}, author={Neil S. Walton}, journal={ArXiv}, year={2014}, volume={abs/1404.2725} }

Switched queueing networks model wireless networks, input queued switches and numerous other networked communications systems. For single-hop networks, we consider a (α,g)-switch policy} which combines the MaxWeight policies with bandwidth sharing networks -- a further well studied model of Internet congestion. We prove the maximum stability property for this class of randomized policies. Thus these policies have the same first order behavior as the MaxWeight policies. However, for multihop…

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## References

SHOWING 1-10 OF 50 REFERENCES

Proportional switching in FIFO networks

- Computer Science
- 2014

A scheduling policy for FIFO networks, the Proportional Scheduler, which is based on the proportional fairness criterion is introduced and it is shown that, like BackPressure, this policy has a maximal stability region and does not require explicit knowledge of traffic arrival rates.

Randomized Scheduling Algorithm for Queueing Networks

- Computer Science, BusinessArXiv
- 2009

A stable scheduling algorithm is presented that is myopic, distributed and performs few logical operations at each node per unit time for the packet-level wireless network model and a buffered circuit switched network model for an optical core of future Internet.

Optimal queue-size scaling in switched networks

- Mathematics, Computer ScienceSIGMETRICS '12
- 2012

A new class of online scheduling policies are provided that achieve optimal average queue-size scaling for a class of switched networks including input-queued switches, establishing the validity of a conjecture about optimal queue- size scaling for input-Queued switches.

Throughput-Optimal Scheduling in Multihop Wireless Networks Without Per-Flow Information

- Computer ScienceIEEE/ACM Transactions on Networking
- 2013

The goal is to design scheduling schemes that do not use per-flow or per-destination information, maintain a single data queue for each link, and exploit only local information, while guaranteeing throughput optimality.

Fluid models of congestion collapse in overloaded switched networks

- Computer ScienceQueueing Syst. Theory Appl.
- 2011

It is shown that queue sizes grow linearly with time, under either generalized version of max-weight, and under either α-fair policy, and the growth rates are characterized, which is used to demonstrate examples of congestion collapse.

Switched networks with maximum weight policies: Fluid approximation and multiplicative state space collapse

- Computer ScienceArXiv
- 2010

A queueing network in which there are constraints on which queues may be served simultaneously is considered, and it is shown that fluid-scaled performance processes can be approximated by fluid model solutions.

Stability and performance analysis of networks supporting elastic services

- Computer ScienceTNET
- 2001

An architectural problem in TCP/IPs decoupling of the transport and network layer from the point of view of guaranteeing connection-level stability is posed, which it is claimed may explain congestion phenomena on the Internet.

Stability properties of constrained queueing systems and scheduling policies for maximum throughput in multihop radio networks

- Computer Science
- 1992

The stability of a queueing network with interdependent servers is considered and a policy is obtained which is optimal in the sense that its Stability Region is a superset of the stability region of every other scheduling policy, and this stability region is characterized.

A Novel Architecture for Reduction of Delay and Queueing Structure Complexity in the Back-Pressure Algorithm

- Computer ScienceIEEE/ACM Transactions on Networking
- 2011

The proposed architecture allows each node to maintain only per-neighbor queues and, moreover, improves the delay performance of the back-pressure algorithm.

A Distributed CSMA Algorithm for Throughput and Utility Maximization in Wireless Networks

- Computer Science, BusinessIEEE/ACM Transactions on Networking
- 2010

An adaptive carrier sense multiple access (CSMA) scheduling algorithm that can achieve the maximal throughput distributively and is combined with congestion control to achieve the optimal utility and fairness of competing flows.