Sammendrag
Long range dependent (LRD) traffic whose single
server queue process is Weibull Bounded (WB) is first analyzed.
Two upper bounds on the individual session’s queue length of
LRD traffic under the generalized processor sharing (GPS) scheduling
discipline are then contributed. It is shown that the index
parameter in the upper bound of one LRD flow, (in addition to
the decay rate and the asymptotic constant), may be affected
by other LRD flows. A new concept, called LRD isolation, is
subsequently contributed and accompanying it, a new technique
is contributed to check whether a flow, with a given GPS weight
assignment, can be guaranteed to be LRD isolated. This technique
is also amenable for use in an online call admission control (CAC)
scenario. When existing flows have already been assigned contract
weights that cannot be changed, our technique can be used to
determine minimum contract weights to be assigned to a new flow
in order to guarantee the flow to be LRD isolated. The results
are also extended to a PGPS (packet-based GPS) scheduler and
relevant numerical results are provided to show the usefulness of
our bounds and LRD isolation technique.
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