Marked point processes (MPP's) play an important role in stochastic modeling. In this talk we
review a class of point processes, called batch Markovian arrival processes (BMAP's), that is …

We present an overview of recent results related to the single server queue with general
independent and identically distributed service times and a batch Markovian arrival process …

Mathematical models of networks and queuing systems (QS) are widely used for study and
optimization of various technical, physical, economic, industrial, administrative, medical …

Matrix analytic methods constitute a success story, illustrating the enrichment of a science,
applied probability, by a technology, that of digital computers. Marcel Neuts has played a …

The versatile Markovian point process was introduced by MF Neuts in 1979. This is a rich
class of point processes whichcontains many familiar arrival process as very special cases …

We introduce a versatile class of point processes on the real line, which are closely related
to finite-state Markov processes. Many relevant probability distributions, moment and …

Point processes whose arrival rates vary randomly over time arise in many applications of
interest, notably in communications modeling. The Markov-modulated Poisson process has …

An Introduction to Queueing Theory: Modeling and Analysis in Applications | SpringerLink Skip
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We study the performance of a statistical multiplexer whose inputs consist of a superposition
of packetized voice sources and data. The performance analysis predicts voice packet delay …

We study a single-server queue in which the server takes a vacation whenever the system
becomes empty. The service and vacation times and the arrival process are all assumed to …