Elucidating the behavior
We examine the temporal behavior of packet loss by means of conditional statistics with respect to congested and noncongested periods that occur in an alternating manner.The congested period corresponds to having more than a certain number of packets in the buffer; noncongested period corresponds to the opposite.
In , Banik obtained queue length distributions at various epochs of BMAP//1/N systems. derived moments and tail probabilities of the customer delay in a discrete-time queueing system with batch arrivals and a batch server adopting the full batch-service policy. studied the the customer delay and buffer content of the discrete-time /1 queue, whereby the service time of a batch is dependent on the number of customers within it.
This paper applies a matrix-analytical approach to analyze the temporal behavior of Markovian-modulated batch-service queue with discrete-time batch Markovian arrival process (DBMAP).
The service process is correlated and its structure is presented through discrete-time batch Markovian service process (DBMSP).
The literature on the application of the DBMAP to model network traffic is rich.
The use of DBMAP is proposed in  to model video sources. provided evidence that DMAP yields a very good estimation of the cell loss ratio for usual superpositions of voice and VBR video sources.In , Heyman and Lucantoni provided evidence that a DMMPP is a good model for Internet traffic at the packet/byte level. proposed a parameter fitting procedure using superposed two-state DMMPP that leads to accurate estimates of queueing behavior for network traffic exhibiting long-range-dependent behavior.