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1
Content available remote Charakterystyki technologiczne procesów mikrobiologicznych w hybrydowym bioreaktorze fluidalnym
Tabiś B.
Przemysł Chemiczny
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2016
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T. 95, nr 10
2012--2016
PL
Przedstawiono charakterystykę technologiczną hybrydowego bioreaktora fluidalnego z zewnętrzną rurą cyrkulacyjną. Wykonano obliczenia symulacyjne dla dwóch różnych dwusubstratowych modeli kinetycznych dwóch wybranych procesów mikrobiologicznych. Analizie poddano właściwości technologiczne takiego bioreaktora w zależności od czasu przebywania fazy ciekłej w aparacie. Porównano charakterystykę stacjonarną hybrydowego bioreaktora fluidalnego z powszechnie stosowanym barbotażowym bioreaktorem zbiornikowym. Przedstawione wykresy umożliwiają zastosowanie oraz dobór właściwych parametrów procesowych w instalacjach wykorzystujących hybrydowe bioreaktory fluidalne.
EN
Numerical simulations were carried to describe the biodegrdn. of glucose and PhOH in a bioreactor with an external circulation tube. The process were detd. as a function of residence time of the liq. phase in the bioreactor. Similar numerical simulations were carried out for biodegrdn. in a commonly used bubble-stirred tank bioreactor. The resulting characteristics were presented as branches of steady states of the processes.
2
Content available The potentials method for the M/G/1/m queue with customer dropping and hysteretic strategy of the service time change
Zhernovyi Y., Kopytko B.
Journal of Applied Mathematics and Computational Mechanics
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2016
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Vol. 15, nr 1
197--210
EN
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.
3
Content available The potentials method for a closed queueing system with hysteretic strategy of the service time change
Zhernovyi Y., Kopytko B.
Journal of Applied Mathematics and Computational Mechanics
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2015
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Vol. 14, nr 2
131--143
EN
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.
4
Content available The queueing system M2X/M/n with hysteretic control of the input flow intensity
Zhernovyi Y., Kopytko B.
Journal of Applied Mathematics and Computational Mechanics
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2014
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Vol. 13, nr 1
149--161
EN
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.
5
Content available remote Stationary characteristics of M θ /M/1 queue with switching of service modes
Kopytko B., Zhernovyi K.
Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
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2011
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Vol. 10, nr 2
117-128
EN
For an M θ /M/1 queue with a threshold switching of service modes at the start of the service of the next customer an algorithm for determining the stationary distribution of the number of customers and stationary characteristics (average queue length, average waiting time, variance of queue length) is proposed. In the case the minimum number of incoming customers in the group is comparable to threshold value h, the stationary characteristics are found in an explicit form. The results are verified by simulation models constructed with the assistance of GPSS World.
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