A General Class of Throughput Optimal Routing Policies in Multi-hop Wireless Networks

Details A General Class of Throughput Optimal Routing Policies in Multi-hop Wireless Networks A General Class of Throughput Optimal Routing Policies in Multi-hop Wireless Networks

2009-08-10

arxiv.org/abs/0908.1273v3

Mathematics

Optimization and Control

31 pages (one column), 8 figures, (revision submitted to IEEE Transactions on Information Theory)

Scientific paper

10.1109/TIT.2011.2178152

This paper considers the problem of throughput optimal routing/scheduling in a multi-hop constrained queueing network with random connectivity whose special case includes opportunistic multi-hop wireless networks and input-queued switch fabrics. The main challenge in the design of throughput optimal routing policies is closely related to identifying appropriate and universal Lyapunov functions with negative expected drift. The few well-known throughput optimal policies in the literature are constructed using simple quadratic or exponential Lyapunov functions of the queue backlogs and as such they seek to balance the queue backlogs across network independent of the topology. By considering a class of continuous, differentiable, and piece-wise quadratic Lyapunov functions, this paper provides a large class of throughput optimal routing policies. The proposed class of Lyapunov functions allow for the routing policy to control the traffic along short paths for a large portion of state-space while ensuring a negative expected drift. This structure enables the design of a large class of routing policies. In particular, and in addition to recovering the throughput optimality of the well known backpressure routing policy, an opportunistic routing policy with congestion diversity is proved to be throughput optimal.

Affiliated with

Also associated with

No associations

Rating

A General Class of Throughput Optimal Routing Policies in Multi-hop Wireless Networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A General Class of Throughput Optimal Routing Policies in Multi-hop Wireless Networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A General Class of Throughput Optimal Routing Policies in Multi-hop Wireless Networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-120272