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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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Load Transformation of Markovian Arrival Processes: Methods and Tool Support

Proceedings of the 3rd International Conference on Performance Evaluation Methodologies and Tools, 2008
Loads in computer networks, i.e. sequences of requests, are modified within the protocol hierarchy of multiple nodes during the transmission process via an interconnected network such as the Internet. This alteration can be seen as a transformation which tends to be of high complexity in today's computer networks.
Stephan Heckmüller   +2 more
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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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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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Construction of continuous time Markovian arrival processes

Journal of Systems Science and Systems Engineering, 2010
Markovian arrival processes were introduced by Neuts in 1979 (Neuts 1979) and have been used extensively in the stochastic modeling of queueing, inventory, reliability, risk, and telecommunications systems. In this paper, we introduce a constructive approach to define continuous time Markovian arrival processes.
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The superposition of Markovian arrival processes: moments and the minimal Laplace transform

Annals of Operations Research
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Markovian arrival process (Map)

2001
Saul I. Gass, Carl M. Harris
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A multiple warm standby repairable system under N-policy with multiple vacations following Markovian arrival process

Communications in Statistics - Theory and Methods, 2020
Baoliang Liu   +2 more
exaly  

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