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    Wyświetlanie 1-4 z 4
    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:
    Econometric model for planning the industrial production
    Autorzy:
    Dima, I. C.
    Grabara, J.
    Kolcun, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/122860.pdf
    Data publikacji:
    2013
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    discipline of waiting
    average waiting time of the machines in the system
    average number of machines
    Opis:
    In industrial practice, there are frequent cases when a performer randomly serves the machines at time intervals, which prevents the elements of carrying out the processing procedure from being predetermined. Situations of random interventions on the multiserved machines occur more often in textile industry on the spinning machines, looms, knitting machines, wire weaving and interlacing machines, etc.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 1; 11-20
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The system M2θ/G/1/m with threshold control of the arrival rate and service time
    Autorzy:
    Zhernovyi, Y.
    Kopytko, B.
    Powiązania:
    https://bibliotekanauki.pl/articles/122409.pdf
    Data publikacji:
    2014
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    queueing system
    flows of two types of customers
    batch arrival of customers
    threshold control
    busy period
    distribution of the number of customers
    system obsługi
    Opis:
    We consider a M2θ/G/1/m queueing system with arrival of customer batches, which uses a threshold control mechanism of the service time and arrival rate. The system receives two independent flows of customers, one of which is blocked in an overload mode (under the condition that the number of customers in the system exceeds a given threshold value h). Full blocking of the input flow is carried out from the moment when the queue length reaches the number m until the beginning of the service of the first customer, for which the number of customers in the system does not exceed h. From the beginning of the service of the first customer during the excess of number of customers in the system of h until the completion of full blocking the time of service of customer is distributed under the law of F(x) (an increased service rate is used). Rest of the time the system applies the normal service rate with the distribution function F(x) of service time. Laplace transforms for the distributions of the number of customers in the system during the busy period and for the distribution function of the busy period are found. The average duration of the busy period is obtained. Formulas for the stationary distribution of the number of customers in the system, for the probability of service and for the stationary characteristics of the system are established. 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, 2; 149-163
    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
      Wyświetlanie 1-4 z 4

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