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http://sns.cs.princeton.edu/2009/06/coralcdn-lesson-fair-sharing-bandwidth-via-admission-control/ -
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In this paper, we show that in fact one can solve the same problem, without collecting the aggregate info)and without any centralized controller). Namely, if every node updates its local limit based on its performance (QoS) and the performance of its few neighbors, eventually the system should converge to the state at which performance is equalized across all nodes.
However, the problem you are facing in CoralCDN with multiple domains sharing finite resources seems way more challenging. Actually, it is not obvious to me what the objective would be and how to formalize the problem of bandwidth sharing in such context. Do you have any thoughts on this? I suspect that for appropriate performance objective, one might not need per node/domain accounting, but could rely on some adaptive decentralized controller to drive the system to the desired state with minimal communication overhead.
Thanks for the comment. The website for hamilton.ie seems offline, so I can't currently access your paper (Google HTML cache is a bit hard to read).
That said, I haven't thought much about formally formulating the problem, much actually solving it, but I could imagine specifying the function something like this:
For a given node:
maximize \sum_{\forall_i} u (c_i)
subject to
c_i >= 0 // allocated capacity to site i is non-negative
c_i <= d_i // site i's allocated capacity <= demand
\sum_{\forall_i} c_i <= C // allocated capacity doesn't exceed node's total capacity
and model the utility function u as some concave function (say log x).
Now, this doesn't say anything about performance, but it does say that, for a given node, it's better to allocate some marginal bandwidth to a new domain rather than allocate more resources to one existing one (subject to available capacity), given the concave utility. Now if you extend this over all nodes, reasoning about a site's utility function taking as input \sum capacity c_i,j \forall node's j, subject to all available capacities, that might be a reasonable formulation.
Your thoughts are welcome.