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Erschienen in:
A Multi-server Queueing Model with Markovian Arrivals and Phase Type Cooperative Services - Simulation Approach Kapitel lesen Erstes Kapitel lesen

2015 | OriginalPaper | Buchkapitel

Joint Probability Density of the Intervals Length of Modulated Semi-synchronous Integrated Flow of Events in Conditions of a Constant Dead Time and the Flow Recurrence Conditions

verfasst von : Maria Bakholdina, Alexander Gortsev

Erschienen in: Information Technologies and Mathematical Modelling - Queueing Theory and Applications

Verlag: Springer International Publishing

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Abstract

This paper is focused on studying the modulated semi-synchronous integrated flow of events which is one of the mathematical models for incoming streams of events (claims) in computer communication networks and is related to the class of doubly stochastic Poisson processes (DSPPs). The flow is considered in conditions of its incomplete observability, when the dead time period of a constant duration T is generated after every registered event. In this paper we propose a technique for obtaining the formulas for calculation the probability density of the interval length between two neighboring flow events and the joint probability density of the length of two successive intervals. Also we find the conditions of the flow recurrence.

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Vorheriges Kapitel A Multi-server Queueing Model with Markovian Arrivals and Phase Type Cooperative Services - Simulation Approach
Nächstes Kapitel Mean-Field Analysis for Heterogeneous Work Stealing Models
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Metadaten
Titel
Joint Probability Density of the Intervals Length of Modulated Semi-synchronous Integrated Flow of Events in Conditions of a Constant Dead Time and the Flow Recurrence Conditions
verfasst von
Maria Bakholdina
Alexander Gortsev
Copyright-Jahr
2015
Buch
Information Technologies and Mathematical Modelling - Queueing Theory and Applications

Print ISBN: 978-3-319-25860-7

Electronic ISBN: 978-3-319-25861-4

Copyright-Jahr: 2015

DOI
https://doi.org/10.1007/978-3-319-25861-4_2