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Tytuł:
Diffusions in one-dimensional bounded domains with reflection, absorption and jumps at the boundary and at some interior point
Autorzy:
Kopytko, B.
Shevchuk, R.
Powiązania:
https://bibliotekanauki.pl/articles/122365.pdf
Data publikacji:
2013
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
classical potential theory
boundary value problem
Feller semigroup
Opis:
By the method of classical potential theory, we obtain the integral representation of the two-parameter operator semigroup that describes the inhomogeneous Feller process on a closed interval [ r1,r2 ] that is a result of pasting together two diffusion processes given on ( r1,r, ) and ( r, r2 ), respectively, where - ∞ < r1 < r < r2 <∞ .
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 1; 55-68
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
On characteristics of the Mθ/G/1/m and Mθ/G/1 queues with queue-size based packet dropping
Autorzy:
Zhernovyi, Y.
Kopytko, B.
Zhernovyi, K.
Powiązania:
https://bibliotekanauki.pl/articles/122429.pdf
Data publikacji:
2014
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
queuing systems
packet arrival of customers
active queue management
random dropping of customers
busy period
distribution of the number of customersdistribution of the number of customers
system kolejkowania
aktywne zarządzanie kolejką
przedział zajętości
Opis:
We study the Mθ/G/1/m and Mθ/G/1 queuing systems with the function of the random dropping of customers used to ensure the required characteristics of the system. Each arriving packet of customers can be rejected with a probability defined depending on the queue length at the service beginning of each customer. The Laplace transform for the distribution of the number of customers in the system on the busy period is found, the mean duration of the busy period is determined, and formulas for the stationary distribution of the number of customers in the system are derived via the approach based on the idea of Korolyuk’s potential method. The obtained results are verified with the help of a simulation model constructed with the assistance of GPSS World tools.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 4; 163-175
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
One-dimensional diffusion processes in half-bounded domains with reflection and a possible jump-like exit from a moving boundary
Autorzy:
Kopytko, B.
Shevchuk, R.
Powiązania:
https://bibliotekanauki.pl/articles/122425.pdf
Data publikacji:
2016
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
diffusion process
parabolic potential
Feller-Wentzell boundary condition
proces dyfuzji
potencjał paraboliczny
warunek brzegowy Feller-Wentzell
Opis:
By the method of the classical potential theory, we construct the two-parameter Feller semigroup of operators associated with such a diffusion phenomenon on a half-line with a moving boundary where either a reflection or jump phenomenon occurs at a boundary point.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 4; 71-82
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
One-dimensional diffusions in bounded domains with a possible jump-like exit from a sticky boundary
Autorzy:
Kopytko, B.
Shevchuk, R.
Powiązania:
https://bibliotekanauki.pl/articles/122536.pdf
Data publikacji:
2014
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
diffusion process
parabolic potential
conjugation problem
proces dyfuzji
potencjał paraboliczny
Opis:
Using analytical methods we obtain the integral representation of a two-parameter Feller semigroup on a closed interval [r1, r2] corresponding to such a diffusion phenomenon that sticking, partial reflection, absorption and jump phenomena occur at the endpoints r1, r2 and at some interior point r ∈ (r1,r2).
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 3; 101-114
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Optimization of the impact multi-mass vibration absorbers
Autorzy:
Kernytskyy, I.
Diveyev, B.
Horbaj, O.
Hlobchak, M.
Kopytko, M.
Zachek, O.
Powiązania:
https://bibliotekanauki.pl/articles/886928.pdf
Data publikacji:
2017
Wydawca:
Szkoła Główna Gospodarstwa Wiejskiego w Warszawie. Wydawnictwo Szkoły Głównej Gospodarstwa Wiejskiego w Warszawie
Tematy:
impact damping system
multi-mass
dynamic vibration absorber
optimization
simultaneous optimization
genetic algorithm
Boltzmann approximation
Opis:
Optimization of the impact multi-mass vibration absorbers. The problem of attaching dynamic vibration absorber (DVA) to a discrete multi-degree-of-freedom or continuous structure has been outlined in many papers and monographs. An impact damping system can overcome some limitations by impact as the damping medium and impact mass interaction as the damping mechanism. The paper contemplates the provision of DVA with the several of the impact masses. Such originally designed absorbers reduce vibration selectively in maximum vibration mode without introducing vibration in other modes. An impact damper is a passive control device which takes the form of a freely moving mass, constrained by stops attached to the structure under control, i.e. the primary structure. The damping results from the exchange of momentum during impacts between the mass and the stops as the structure vibrates. The paper contemplates the provision of the impact multi-mass DVA’s with masses collisions for additional damping. For some cases of DVA optimization such a design seems more effective than conventional multi-mass DVA with independent mass moving. A technique is developed to give the optimal DVA’s for the elimination of excessive vibration in harmonic stochastic and impact loaded systems.
Źródło:
Scientific Review Engineering and Environmental Sciences; 2017, 26, 3[77]
1732-9353
Pojawia się w:
Scientific Review Engineering and Environmental Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Recurrence relations for a multi-channel closed queueing system with Erlangian service times of second order
Autorzy:
Zhernovyi, Y.
Kopytko, B.
Powiązania:
https://bibliotekanauki.pl/articles/122441.pdf
Data publikacji:
2017
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
multi-channel closed queueing system
Erlangian service times of second order
fictitious phase method
recurrence relations
system kolejkowania
zależności rekurencyjne
Opis:
We propose a method for determining the steady-state characteristics of a multichannel closed queueing system with exponential distribution of the time generation of service requests and the second order Erlang distributions of the service times. Recurrence relations to compute the steady-state distribution of the number of customers are obtained. The developed algorithms are tested on examples using simulation models constructed with the assistance of the GPSS World tools.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 3; 123-128
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Recurrence relations for two-channel closed queueing systems with Erlangian service times
Autorzy:
Kopytko, B.
Zhernovyi, K.
Powiązania:
https://bibliotekanauki.pl/articles/122421.pdf
Data publikacji:
2018
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
two-channel closed queueing system
Erlangian service times
fictitious phase method
recurrence relations
system kolejkowania dwukanałowy
czas obsługi Erlanga
rozkład Erlanga
Opis:
This paper proposes a method for determining the steady-state characteristics of two-channel closed queueing systems with an exponential distribution of the time generation of service requests and the Erlang distributions of the service times. Recurrence relations for computing the steady-state distribution of the number of customers in the system are deduced. The obtained algorithms are tested on examples using simulation models in the GPSS World environment.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 1; 37-48
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Recurrence relations for two-channel queueing systems with Erlangian service times and hysteretic strategy of random dropping of customers
Autorzy:
Zhernovyi, Y.
Kopytko, B.
Powiązania:
https://bibliotekanauki.pl/articles/122986.pdf
Data publikacji:
2018
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
two-channel queueing system
Erlangian service times
random dropping of customers
fictitious phase method
hysteretic strategy
recurrence relations
steady-state characteristics
czas obsługi Erlanga
strategia histeretyczna
system kolejkowania dwukanałowy
Opis:
This article proposes a method of study the M/Es/2/m and M/Es/2/∞ queueing systems with a hysteretic strategy of random dropping of customers. Recurrence relations are obtained to compute the stationary distribution of the number of customers and steadystate characteristics. The constructed algorithms were tested on examples with the use of simulation models constructed with the help of GPSS World.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2018, 17, 2; 93-103
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Solution of one initial-boundary Wentzel problem for a parabolic equation with discontinuous coefficients by the boundary integral equation method
Autorzy:
Kopytko, B.
Tsapovska, Z.
Powiązania:
https://bibliotekanauki.pl/articles/122876.pdf
Data publikacji:
2017
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
linear parabolic second-degree operator
potential method
conjugation condition of Wentzel type
problem początkowo-brzegowy
metoda potencjału
warunki brzegowe
warunek koniugacji
Opis:
In this article we consider the question of existence in the Holder class of the solution of the initial-boundary problem for a linear parabolic second-degree equation with discontinuous coefficients in noncylindrical domain. This domain is bounded of the smooth elementary surfaces of the Holder class H 2+λ, (2+λ )/2. The boundary conditions and the conjugation condition of the Wentzel type are given to external and internal boundaries of a domain respectively. We use the potential method to solve this problem.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2017, 16, 1; 51-62
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Sound transmission of sandwich beams with the dynamic vibration absorbers
Transmisja dźwięku poprzez płyty warstwowe z dynamicznymi absorberami drgań
Autorzy:
Diveyev, B.
Kernytskyy, I.
Kopytko, M.
Konyk, S.
Kogut, V.
Powiązania:
https://bibliotekanauki.pl/articles/886602.pdf
Data publikacji:
2015
Wydawca:
Szkoła Główna Gospodarstwa Wiejskiego w Warszawie. Wydawnictwo Szkoły Głównej Gospodarstwa Wiejskiego w Warszawie
Tematy:
sound transmission
beam
dynamic vibration absorber
noise
vibration
industrial machine
Źródło:
Scientific Review Engineering and Environmental Sciences; 2015, 24, 2[68]
1732-9353
Pojawia się w:
Scientific Review Engineering and Environmental Sciences
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Steady-state characteristics of three-channel queueing systems with Erlangian service times
Autorzy:
Kopytko, B.
Zhernovyi, K.
Powiązania:
https://bibliotekanauki.pl/articles/122266.pdf
Data publikacji:
2016
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
three-channel queueing system
Poisson input
Erlangian service times
random dropping of customers
fictitious phase method
recurrence relations
trójkanałowy system kolejkowania
metoda fazy fikcyjnej
równanie rekurencyjne
Opis:
We propose a method of study the M/E2/3/∞ queueing systems: standard system and systems with the threshold and hysteretic strategies of the random dropping of customers in order to control the input flow. Recurrence relations to compute the stationary distribution of the number of customers and the steady-state characteristics are obtained. The developed algorithms are tested on examples using simulation models constructed with the assistance of the GPSS World tools.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 3; 75-87
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The busy period for the Mθ /G/1/m system with service time dependent of the queue length
Autorzy:
Zhernovyi, Y.
Kopytko, B.
Zhernovyi, K.
Powiązania:
https://bibliotekanauki.pl/articles/122898.pdf
Data publikacji:
2013
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
queueing system
group arrival of customers
service time dependent on the queue length
Opis:
We consider the Mθ/G/1/m system wherein the service time depends on the queuelength and it is determined at the beginning of customer service. Using an approach basedon the potential method proposed by V. Korolyuk, the Laplace transforms for the distribution f the number of customers in the system on the busy period and for the distribution function of the busy period are found.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 4; 127-133
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The potentials method for a closed queueing system with hysteretic strategy of the service time change
Autorzy:
Zhernovyi, Y.
Kopytko, B.
Powiązania:
https://bibliotekanauki.pl/articles/122638.pdf
Data publikacji:
2015
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
queueing system with a finite number of sources
hysteretic strategy for service time
potentials method
stationary characteristics
metoda potencjałów
charakterystyka stacjonarna
Opis:
We propose a method for determining the characteristics of a single-channel closed queueing system with an exponential distribution of the time generation of service requests and arbitrary distributions of the service times. In order to increase the system capacity, two service modes (the main mode and overload mode), with the service time distribution functions F ( x ) and F ( x ) respectively, are used. The overload mode starts functioning if at the beginning of service of the next customer the number of customers in the system ξ(t ) satisfies the condition ξ (t ) > h2. The return to the main mode carried out at the beginning of service of the customer, for which ξ (t ) = h1, where 1 ≤ h1 < h2. The Laplace transforms for the distribution of the number of customers in the system during the busy period and for the distribution function of the length of the busy period are found. The developed algorithm for calculating the stationary characteristics of the system is tested with the help of a simulation model constructed with the assistance of GPSS World tools.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2015, 14, 2; 131-143
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The potentials method for the M/G/1/m queue with customer dropping and hysteretic strategy of the service time change
Autorzy:
Zhernovyi, Y.
Kopytko, B.
Powiązania:
https://bibliotekanauki.pl/articles/122350.pdf
Data publikacji:
2016
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
single-channel queueing system
random dropping of customers
hysteretic strategy for service time
potentials method
stationary characteristics
system kolejkowania jednokanałowy
metoda potencjałów
charakterystyka stacjonarna
czas obsługi
Opis:
We propose a method for determining the probabilistic characteristics of the M/G/1/m queueing system with the random dropping of arrivals and distribution of the service time depending on the queue length. Two sets of service modes, with the service time distribution functions Fn (x) and Fn (x) respectively, are used according to the twothreshold hysteretic strategy. The Laplace transforms for the distribution of the number of customers in the system during the busy period and for the distribution function of the length of the busy period are found. The developed algorithm for calculating the stationary characteristics of the system is tested with the help of a simulation model constructed with the assistance of GPSS World tools.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 1; 197-210
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
The queueing system M2X/M/n with hysteretic control of the input flow intensity
Autorzy:
Zhernovyi, Y.
Kopytko, B.
Powiązania:
https://bibliotekanauki.pl/articles/122868.pdf
Data publikacji:
2014
Wydawca:
Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:
multi-channel queueing system
batch arrival of customers
hysteretic control of the input flow intensity
stationary characteristics
Opis:
We consider a multi-channel queueing system with unlimited queue and with exponentially distributed service time and the intervals between the arrival of customers batches, which uses a hysteretic control mechanism of the input flow intensity. The system receives two independent flows of customers, one of which is blocked in an overload mode. An algorithm for finding the stationary distribution of the number of customers and stationary characteristics (the mean queue length, the mean waiting time in the queue, the probability of customers loss) is proposed. The obtained results are verified with the help of a simulation model constructed with the assistance of GPSS World tools.
Źródło:
Journal of Applied Mathematics and Computational Mechanics; 2014, 13, 1; 149-161
2299-9965
Pojawia się w:
Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:
Biblioteka Nauki
Artykuł
Wyświetlanie 1-15 z 16

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