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    Wyświetlanie 1-4 z 4
    Tytuł:
    M/G→ /n/0 Erlang queueing system with heterogeneous servers and non-homogeneous customers
    Autorzy:
    Ziółkowski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/199840.pdf
    Data publikacji:
    2018
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    multi-server queueing systems
    queueing systems with non-homogeneous customers
    queueing systems with heterogeneous servers
    total volume distribution
    Laplace–Stieltjes transform
    system kolejkowania
    transformata Laplace'a-Stieltjesa
    dystrybucja
    Opis:
    In the present paper, we investigate a multi-server queueing system with heterogeneous servers, unlimited memory space, and non-homogeneous customers. The arriving customers appear according to a stationary Poisson process. Service time distribution functions may be different for every server. Customers are additionally characterized by some random volume. On every server, the service time of the customer depends on their volume. The number of customers distribution function is obtained in the classical model of the system. In the model with non-homogeneous customers, the stationary total volume distribution function is determined in the term of Laplace–Stieltjes transform. The stationary first and second moments of a total customers volume are calculated. An analysis of some special cases of the model and some numerical examples are also included.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2018, 66, 1; 59-66
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    M/M/n/(m,V) queueing systems with a rejection mechanism based on AQM
    Autorzy:
    Ziółkowski, M.
    Małek, J.
    Powiązania:
    https://bibliotekanauki.pl/articles/122605.pdf
    Data publikacji:
    2013
    Wydawca:
    Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
    Tematy:
    Markovian process
    queueing systems with non-homogeneous customers
    active queue management introduction
    Opis:
    M/M/n/(m,V) queueing systems with service time independent of customer volume are well known models used in computer science. In real computer systems (computer networks etc.) we often deal with the overload problem. In computer networks we solve the problem using AQM techniques, which are connected with introducing some accepting function that lets us reject in random way some part of the arriving customers. It causes reduction of each customer's mean waiting time and let us avoid jams in consequence. Unfortunately, in this way the loss probability increases. In this paper we investigate the analogous model based on some generalization of M/M/n/(m,V) queueing system. We obtain formulas for a stationary number of customers distribution function and loss probability and we do some computations in special cases.
    Źródło:
    Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 1; 121-130
    2299-9965
    Pojawia się w:
    Journal of Applied Mathematics and Computational Mechanics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Performance evaluation of unreliable system with infinite number of servers
    Autorzy:
    Tikhonenko, O.
    Ziółkowski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/201519.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    queueing systems with non-homogeneous customers
    unreliable queueing systems
    total volume
    loss probability
    Laplace–Stieltjes transform
    Opis:
    In the paper, we investigate queueing system M/G/∞ with non-homogeneous customers. By non-homogeneity we mean that each customer is characterized by some arbitrarily distributed random volume. The arriving customers appear according to a stationary Poisson process. Service time of a customer is proportional to his its volume. The system is unreliable, which means that all its servers can break simultaneously and then the repair period goes on for random time having an arbitrary distribution. During this period, customers present in the system and arriving to it are not served. Their service continues immediately after repair period termination. Time intervals of the system in good repair mode have an exponential distribution. For such system, we determine steady-state sojourn time and total volume of customers present in it distributions. We also estimate the loss probability for the similar system with limited total volume. An analysis of some special cases and some numerical examples are attached as well.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2020, 68, 2; 289-297
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Processor sharing queueing systems with non-homogeneous customers
    Autorzy:
    Tikhonenko, O.
    Powiązania:
    https://bibliotekanauki.pl/articles/121919.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
    Tematy:
    egalitarian processor sharing
    EPS
    queueing models
    egalitarne współdzielenie procesora
    modele kolejkowe
    Opis:
    We investigate processor sharing queueing systems with non-homogeneous customers having some random space requirements. Such systems have been used to model and solve various practical problems occurring in the design of computer or communicating systems. The above non-homogenity means that each customer (independently of others) has some random space requirement and his length (or amount of work for his service) generally depends on the space requirement. In real systems, a total sum of space requirements of customers presenting in the system is limited by some constant value (memory capacity) V > 0. We estimate loss characteristcs for such a system using queueing models with unlimited memory space.
    Źródło:
    Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2010, 15; 149-162
    2450-9302
    Pojawia się w:
    Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-4 z 4

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