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- W1489773464 abstract "This paper provides two different discrete-time finite-buffer queueing models of the G 1 [X] +G2/D/1/s-type for modelling CAC in ATM. In the G 1 [X] +G2-input, G1 and G2 produce (correlated) interarrival times and the independent r.v. X generates the size of the batch arriving, when G1 produces an arrival. Thus, this model represents the situation, when a new connection (G2) is admitted, i.e. superimposed to already existing traffic (G 1 [X] ) in an ATM-switch. The first model -given in detail here- is based on Neuts’ M/G/1-type paradigm, and allows the solution of the queueing model for a DBMAP+DMAP input including the DMAP 1 [X] +DMAP2 case (also for a general service process). Per-stream probability functions (p.f.’s) of the occupancy and loss probabilities can be computed. The second model is based on the unfinished work and allows to compute per-stream loss probabilities, occupancy and waiting-time p.f.’s, as well as, for stream 2, an exact value of the conditional loss probability that given a cell of stream 2 is lost, the next cell of stream 2 is also lost. Since the DMAP 1 [X] +DMAP2-input can be handled by both methods, an analytical validation of the results is possible, which typically only differ in the last 4 of 16 figures (using double-precision-numbers in a C-program). Both models allow service times higher than the time-unit, which is necessary for a correct description of a multiplexer’s behaviour, when the output line is slower than the input lines. Numerical results show that positive correlation in one stream can have a significant negative influence on QOS parameters of both streams so that effective bandwidth does better than sigma rule, since it inherently carries some estimate of correlation." @default.
- W1489773464 created "2016-06-24" @default.
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- W1489773464 date "1995-01-01" @default.
- W1489773464 modified "2023-10-17" @default.
- W1489773464 title "Discrete-time Models for Connection Admission Control (CAC) in ATM" @default.
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- W1489773464 doi "https://doi.org/10.1007/978-0-387-34881-0_6" @default.
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