In this letter, we analyze the performance of multiple input-queued asynchronous transfer mode (ATM) switches that use parallel iterative matching for scheduling the transmission of head-of-line cells in the input queues. A queueing model of the switch is developed under independently, identically distributed, two-state Markov modulated Bernoulli processes bursty traffic. The underlying Markov ...

The main aim of this work is to establish an averaging principle for a wide class of interacting particle systems of birth-and-death type in the continuum. This principle is an important step in the analysis of Markov evolutions and is usually applied for the associated semigroups related to backward Kolmogorov equations, c.f. [Kur73]. Our approach is based on the study of forward Kolmogorov eq...

This paper contains a survey of results related to quasi-stationary distributions, which arise in the setting of stochastic dynamical systems that eventually evanesce, and which may be useful in describing the long-term behaviour of such systems before evanescence. We are concerned mainly with continuous-time Markov chains over a finite or countably infinite state space, since these processes m...

In this study we model the daily rainfall occurrence using Markov Chain Analogue Yearmodel (MCAYM) and the intensity or amount of daily rainfall using three different probability distributions; gamma, exponential and mixed exponential distributions. Combining the occurrence and intensity model we obtain Markov Chain Analogue Year gamma model (MCAYGM), Markov Chain Analogue Year exponentia...

We consider how to determine all transition rates of an ion channel when it can be described by a birth–death chain or a Markov chain on a star-graph with continuous time. It is found that all transition rates are uniquely determined by the distribution of its lifetime and death-time histograms at a single state. An algorithm to calculate the transition rates exactly, based on the statistics of...

We extend the ETAQA approach, initially proposed for the eecient numerical solution of a class of quasi birth-death processes, to the more complex case of M/G/1-type Markov processes. The proposed technique can be used for the exact solution of a class of M/G/1-type models by simply computing the solution of a nite linear system. We further demonstrate the utility of the method by describing th...

We extend the ETAQA approach, initially proposed for the efficient numerical solution of a class of quasi birth-death processes, to the more complex case of M/G/1-type Markov processes. The proposed technique can be used for the exact solution of a class of M/G/1-type models by computing the solution of a finite linear system. We further demonstrate the utility of the method by describing the e...

The proliferation of mobile devices, along with advances in speech and natural language processing technologies, have given birth to a new wave of personal assistance applications that enable users to quickly and more naturally perform many tasks through voice on their smart devices. This paper focuses on a natural language understanding (NLU) solution for one such application. We adopted a dat...

The solar chromosphere consists of three classes plage, network, background which contribute differently to ultraviolet radiation reachina thn am-th ~.nl~r nhv&-iota cama intmwatd in --a “Y” U-V.&. Y”*yYJ”.“‘uY” .“A.8 .Y”YIVY”VU IY relating plage area and intensity to UV irradiante, as well as understanding the spatial and temporal evolution of plage shapes. We describe a data set of solar imag...