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Markovian Arrival Process Parameter Estimation With Group Data

IEEE/ACM Transactions on Networking, 2009
This paper addresses a parameter estimation problem of Markovian arrival process (MAP). In network traffic measurement experiments, one often encounters the group data where arrival times for a group are collected as one bin. Although the group data are observed in many situations, nearly all existing estimation methods for MAP are based on nongroup ...
Hiroyuki Okamura   +2 more
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Examples of Markovian Arrival Processes

2003
The present chapter provides two important examples for Markovian arrival processes. In contrast to the top-down approach in chapter 2, where arrival processes have been introduced from a very general point of view, the following presentation shall provide some intuition into the common features of different specifications of MAPs.
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Spatial Markovian Arrival Processes

2003
The recent rise of mobile communication systems gave reason to the development of queueing models which are capable of incorporating spatial features. Introducing spatial arrival processes is of great help for modelling mobile communication networks, since users of such networks can be characterized more adequately by properties depending on their ...
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Estimating Computer Virus Propagation Based on Markovian Arrival Processes

2010 IEEE 16th Pacific Rim International Symposium on Dependable Computing, 2010
This paper refines statistical inference of computer virus propagation with maximum likelihood (ML) estimation. In particular, in order to utilize actual infection data that are opened in Web sites, we reformulate classical stochastic models by Markovian arrival processes (MAPs).
Hiroyuki Okamura, Tadashi Dohi
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Stochastic models of space priority mechanisms with Markovian arrival processes

Annals of Operations Research, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jorge GarcĂ­a, Olga Casals
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Faster Maximum Likelihood Estimation Algorithms for Markovian Arrival Processes

2009 Sixth International Conference on the Quantitative Evaluation of Systems, 2009
This paper proposes two improvements of fitting algorithms for Markovian arrival processes (MAPs). The first improvement is to enhance the computation speed of Ryd\'en's EM algorithm (1996) for estimating MAP parameters. The second one is to provide an efficient sub-class of MAPs to be appropriate for fitting to real traffic data.
Hiroyuki Okamura, Tadashi Dohi
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The first two moment matrices of the counts for the markovian arrival process

Communications in Statistics. Stochastic Models, 1992
Summary: Analytic, asymptotic and algorithmic properties of the first two moment matrices of the counts during an interval \((0,t]\) in the Markovian arrival process (MAP) are discussed. These properties are useful in the computation of Palm densities and dispersion functions with arbitrary initial conditions. These descriptors, in turn, are helpful in
Narayana, Surya, Neuts, Marcel F.
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On the Counting Process for a Class of Markovian Arrival Processes with an Application to a Queueing System

Queueing Systems, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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From the Poisson Process to Markovian Arrival Processes

2013
This chapter introduces Markovian arrival processes. Topics covered include: (i) the Poisson process; (ii) definitions of Markovian arrival processes; (iii) performance measures; (iv) batch Markovian arrival processes; and (v) Markovian arrival processes with marked arrivals.
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