On Fri, Jul 11, 2014 at 09:49:44AM +0000, Scharf, Michael (Michael) wrote:
> > > > do we have any idea whether 5000 PIDs is a realistic assumption for
> > > > foreseeable deployments?
> > >
> > > Indeed, 5000 seems like an extreme case. Yet, I think one could
> > really
> > > end up there, depending on how ALTO is used.
> > >
> > > For instance, let's assume an ALTO use case like
> > > draft-scharf-alto-vpn-service for a large enterprise with many
> > > branches. As argued in the draft, only could possibly use one PID for
> > > each VPN endpoint.
> > >
> > > In that case, 5000 is not entirely unrealistic. As a random data
> > > point, Bank of America is reported to have 5,377 branches in the US.
> > > Other large organizations (e.g., retailers) may have a similar order
> > > of magnitude of branches. A L2VPN or L3VPN could be used to
> > > interconnect such branches.
> > >
> > > Obviously, there are certain ways to reduce the network/cost size in
> > > such a scenario, e.g., by introducing a hierarchy, or by topology
> > > encoding (for cost map). Also, I doubt that an application would
> > > really require an accurate cost map entry for any given combination
> > of
> > > PIDs. Thus, 5000 looks like a kind of worst-case scenario.
> > 
> > In this use case, would you really have a full(!) 5000x5000 matrix?
> > Or would it be more like a sparse matrix, defining cost only for
> > 5000 branch offices X 100 data centers,
> > while most (all?) other costs (i.e., branch office to branch office)
> > are
> > "default"?
> 
> Sure, the non-default-entries in such a matrix could be sparse (and
> topology encoding could help). And, indeed, as already mentioned, I'd
> guess that one would mainly be interested in a small subset of the
> cost map. As a result, 5000x100 may be more realistic than 5000x5000.
> But we still have O(5000) PIDs.

Basically, it is not the number of PIDs that makes the map big, it is
the number of non-default values.  In our JSON encoding, 
a full 5000x5000 matrix is 50 times bigger on the wire 
than a 5000x5000 matrix that only defines 500000 values and leaves all
others as "default".

Sebastian

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