Temat: time models - Katalog OPAC zbiorów

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Tytuł:: Markov reliability models of series systems with redundancy and repair facilities
Autorzy:: Zhernovyi, Yuriy
Kopytko, Bohdan
Powiązania:: https://bibliotekanauki.pl/articles/2141508.pdf
Data publikacji:: 2021
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: reliability
recoverable system
redundancy
series system
Markov models
mean time to failure
mean time between failures
mean downtime
niezawodność
redundancja
modele Markova
średni czas bezawaryjnej pracy
średni czas pomiędzy uszkodzeniami
Opis:: In this paper, we use Markov models for studying the reliability of series systems with redundancy and repair facilities. We suppose that the units’ time to failure and recovery times are exponentially distributed. We consider the cases when 1≤ c ≤ m and m + 1 ≤ c ≤ m + n, for the system of n operating units, m unloaded redundant units and c repair facilities. Using the exponential distributions properties, we obtain stationary reliability indices of the series systems: steady-state probabilities, a stationary availability coefficient, mean time to failure, mean time between failures and mean downtime.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2021, 20, 3; 89-96
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

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

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Skocz do pozycji: 3.

Tytuł:: Application of a near wall model to Navier-Stokes equations with nonlinear time-relaxation model
Autorzy:: İhan, Özgül
Powiązania:: https://bibliotekanauki.pl/articles/2175530.pdf
Data publikacji:: 2022
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: boundary layers
laminar
near wall models
NWM
Navier-Stokes equation with nonlinear time-relaxation model
NSE-NTR
warstwy graniczne
równanie Naviera-Stokesa z nieliniowym modelem relaksacji w czasie
Opis:: It is difficult and essential to determine appropriate boundary conditions for the flow averages because they depend on the behavior of the unknown flow near the wall. Large-eddy simulation (LES) is one of the promising approaches. LES estimates local spatial averages ū of the velocity u of the fluid. The main problem is modeling near-wall turbulence in complex geometries. Inspired by the works of Navier and Maxwell, the boundary conditions are developed on the wall. In this study, the appropriate friction coefficient for 2-D laminar flows is computed, and existing boundary layer theories are used to improve numerical boundary conditions for flow averages. The slip with friction and penetration with resistance boundary conditions are considered. Numerical tests on two-dimensional channel flow across a step using this boundary condition on the top and bottom wall and the step are performed.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2022, 21, 2; 39--50
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

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