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Wyświetlanie 1-3 z 3
Tytuł:
A multi-source fluid queue based stochastic model of the probabilistic offloading strategy in a MEC system with multiple mobile devices and a single MEC server
Autorzy:
Zheng, Huan
Jin, Shunfu
Powiązania:
https://bibliotekanauki.pl/articles/2055156.pdf
Data publikacji:
2022
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
mobile edge computing
probabilistic offloading strategy
multi-source fluid queue
birth and death process
cumulative distribution function
przetwarzanie mobilne
proces narodzin i śmierci
dystrybuanta
Opis:
Mobile edge computing (MEC) is one of the key technologies to achieve high bandwidth, low latency and reliable service in fifth generation (5G) networks. In order to better evaluate the performance of the probabilistic offloading strategy in a MEC system, we give a modeling method to capture the stochastic behavior of tasks based on a multi-source fluid queue. Considering multiple mobile devices (MDs) in a MEC system, we build a multi-source fluid queue to model the tasks offloaded to the MEC server. We give an approach to analyze the fluid queue driven by multiple independent heterogeneous finite-state birth-and-death processes (BDPs) and present the cumulative distribution function (CDF) of the edge buffer content. Then, we evaluate the performance measures in terms of the utilization of the MEC server, the expected edge buffer content and the average response time of a task. Finally, we provide numerical results with some analysis to illustrate the feasibility of the stochastic model built in this paper.
Źródło:
International Journal of Applied Mathematics and Computer Science; 2022, 32, 1; 125--138
1641-876X
2083-8492
Pojawia się w:
International Journal of Applied Mathematics and Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Asymptotic analysis of a closed G-network of unreliable nodes
Autorzy:
Rusilko, Tatiana
Powiązania:
https://bibliotekanauki.pl/articles/2175521.pdf
Data publikacji:
2022
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
G-network
unreliable queueing systems
positive customer
negative customer
birth-death process
asymptotic analysis
queueing network
sieć G
proces narodzin i śmierci
analiza asymptotyczna
sieci kolejkowe
Opis:
A closed exponential queueing G-network of unreliable multi-server nodes was studied under the asymptotic assumption of a large number of customers. The process of changing the number of functional servers in network nodes was considered as the birth-death process. The process of changing the number of customers at the nodes was considered as a continuous-state Markov process. It was proved that its probability density function satisfies the Fokker-Planck-Kolmogorov equation. The system of differential equations for the first-order and second-order moments of this process was derived. This allows us to predict the expectation, the variance and the pairwise correlation of the number of customers in the G-network nodes both in the transient and steady state.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 2; 91--102
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Formulas for average transition times between states of the Markov birth-death process
Autorzy:
Zhernovyi, Yuriy
Kopytko, Bohdan
Powiązania:
https://bibliotekanauki.pl/articles/2175497.pdf
Data publikacji:
2021
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
birth-death process
Markov models
mean transition time
mean time spent in the group of states
queueing systems
reliability model
proces narodzin i śmierci
modele Markova
średni czas przejścia
średni czas spędzony w grupie stanów
systemy kolejkowe
model niezawodności
Opis:
In this paper, we consider Markov birth-death processes with constant intensities of transitions between neighboring states that have an ergodic property. Using the exponential distributions properties, we obtain formulas for the mean time of transition from the state i to the state j and transitions back, from the state j to the state i. We found expressions for the mean time spent outside the given state i, the mean time spent in the group of states (0,...,i-1) to the left from state i, and the mean time spent in the group of states (i+1,i+2,...) to the right. We derive the formulas for some special cases of the Markov birth-death processes, namely, for the Erlang loss system, the queueing systems with finite and with infinite waiting room and the reliability model for a recoverable system.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2021, 20, 4; 99--110
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-3 z 3

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