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The distribution of random motion with Erlang-3 sojourn times [PDF]

open access: yesRandom Operators and Stochastic Equations, 2015
Abstract In this paper, we study a one-dimensional random motion with switching process having an Erlang-3 distribution for the sojourn times. We obtain the solution of the associated hyperbolic PDE of sixth order through algebraic techniques.
Tamila Kolomiiets   +2 more
openaire   +1 more source

The Queueing Model MAP|PH|1|N with Feedback Operating in a Markovian Random Environment

open access: yesAustrian Journal of Statistics, 2016
Queueing systems with feedback are well suited for the description of message transmission and manufacturing processes where a repeated service is required. In the present paper we investigate a rather general single server queue with a Markovian Arrival
A.N. Dudin   +4 more
doaj   +1 more source

Impact of the infection period distribution on the epidemic spread in a metapopulation model. [PDF]

open access: yesPLoS ONE, 2010
Epidemic models usually rely on the assumption of exponentially distributed sojourn times in infectious states. This is sometimes an acceptable approximation, but it is generally not realistic and it may influence the epidemic dynamics as it has already ...
Elisabeta Vergu   +2 more
doaj   +1 more source

Joint Tracking of Manoeuvring Targets and Classification of Their Manoeuvrability

open access: yesEURASIP Journal on Advances in Signal Processing, 2004
Semi-Markov models are a generalisation of Markov models that explicitly model the state-dependent sojourn time distribution, the time for which the system remains in a given state.
Maskell Simon
doaj   +1 more source

On Regime Switching Models

open access: yesMathematics
Regime switching models have been widely studied for their ability to capture the dynamic behavior of time series data and are widely used in economic and financial data analysis.
Zhenni Tan, Yuehua Wu
doaj   +1 more source

Modeling M/M/R-JSQ-PS Sojourn Time Distributions for URLLC Services

open access: yesIEEE Open Journal of the Communications Society
The future of networking promises to support time-sensitive applications that require ultra low latencies and reliabilities of 99.999%. Recent advances in cellular and WiFi connections enhance the network to meet high reliability and ultra low latencies.
Geraint I. Palmer, Jorge Martin-Perez
doaj   +1 more source

Vertical Handover Analysis Based on Cell Sojourn Distance: A Probabilistic Approach Inspired by Bertrand’s Paradox

open access: yesIEEE Open Journal of the Communications Society
The recent surge in traffic demand has accelerated the development of heterogeneous highdensity networks. Consequently, the number of base stations has increased, leading to a rise in the frequency of vertical handovers between heterogeneous base ...
Kenta Fukuhara   +2 more
doaj   +1 more source

Analysis of Repairable Geo/G/1 Queues with Negative Customers

open access: yesJournal of Applied Mathematics, 2014
We consider discrete-time Geo/G/1 queues with negative customers and a repairable server. The server is subject to failure due to a negative customer arrival. As soon as a negative customer arrives at a system, the server fails and one positive (ordinary)
Doo Ho Lee, Kilhwan Kim
doaj   +1 more source

Novel Approach of Multistate Markov Chains to Evaluate Progression in the Expanded Model of Non-alcoholic Fatty Liver Disease

open access: yesFrontiers in Applied Mathematics and Statistics, 2022
A global increase in the prevalence of obesity and type 2 diabetes is strongly connected to an increased prevalence of non-alcoholic fatty liver disease (NAFLD) worldwide.
Iman M. Attia
doaj   +1 more source

On the Distribution of Sojourn Times in Tandem Queues

open access: yesACM SIGMETRICS Performance Evaluation Review
The paper studies the (end-to-end) waiting and sojourn times in tandem queues with general arrivals and light-tailed service times. It is shown that the tails of the corresponding distributions are subject to polynomial-exponential upper bounds, whereby the degrees of the polynomials depend on both the number of bottleneck queues and the 'light ...
Florin Ciucu, Sima Mehri
openaire   +1 more source

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