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    Wyświetlanie 1-7 z 7
    Tytuł:
    Probabilistic elements in analysis of performance of multiprocessor systems
    Autorzy:
    Taborek, K.
    Hrynkiewicz, E.
    Powiązania:
    https://bibliotekanauki.pl/articles/201505.pdf
    Data publikacji:
    2014
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    arbitration circuit
    multiprocessor system
    performance analysis
    queueing model
    arbitraż
    system wieloprocesorowy
    analiza wydajności
    model kolejkowy
    Opis:
    The paper presents important probabilistic elements that should be taken into consideration in the analysis of performance of classical multiprocessor systems. These elements represent the following quantities: modified arrival rate for processor requests and a few probabilities, which determine the frequency of certain events when a multiprocessor system is working. There are four peculiar events: service of another job, existence of the queue, a processor request while the given task is waiting into the queue and the return of another task into the queue while the given task is waiting in the queue. The first three events happen more often when a system consists of less number of processors, whereas the fourth event happens more often when more processors work in a system. Including (or not) the probabilities of these events to the analysis of performance of multiprocessor systems exerts its much influence on the precision of computations. All the mentioned quantities were described in detail. Formulas for these quantities were derived. Examples of applications of the formulas to the prediction of performance of various multiprocessor systems were presented.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2014, 62, 4; 765-771
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Analysis of a single server queue in a multi-phase random environment with working vacations and customers’ impatience
    Autorzy:
    Bouchentouf, Amina Angelika
    Guendouzi, Abdelhak
    Houalef, Meriem
    Majid, Shakir
    Powiązania:
    https://bibliotekanauki.pl/articles/2175837.pdf
    Data publikacji:
    2022
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    queueing model
    multi-phase random environment
    working vacation policies
    impatient customer
    probability generating function
    Opis:
    In this paper, we analyze an M/M/1 queueing system under both single and multiple working vacation policies, multiphase random environment, waiting server, balking and reneging. When the system is in operative phase j = 1, 2, . . . , K, customers are served one by one. Whenever the system becomes empty, the server waits a random amount of time before taking a vacation, causing the system to move to working vacation phase 0 at which new arrivals are served at a lower rate. Using the probability generating function method, we obtain the distribution for the steady-state probabilities of the system. Then, we derive important performance measures of the queueing system. Finally, some numerical examples are illustrated to show the impact of system parameters on performance measures of the queueing system.
    Źródło:
    Operations Research and Decisions; 2022, 32, 2; 16--33
    2081-8858
    2391-6060
    Pojawia się w:
    Operations Research and Decisions
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On truncations for weakly ergodic inhomogeneous birth and death processes
    Autorzy:
    Zeifman, A.
    Satin, Y.
    Korolev, V.
    Shorgin, S.
    Powiązania:
    https://bibliotekanauki.pl/articles/330983.pdf
    Data publikacji:
    2014
    Wydawca:
    Uniwersytet Zielonogórski. Oficyna Wydawnicza
    Tematy:
    birth process
    death process
    weak ergodicity
    truncation
    forward Kolmogorov system
    nonstationary Markovian queueing model
    proces narodzin
    proces śmierci
    obcinanie
    system Kołmogorowa
    model Markowa
    Opis:
    We investigate a class of exponentially weakly ergodic inhomogeneous birth and death processes. We consider special transformations of the reduced intensity matrix of the process and obtain uniform (in time) error bounds of truncations. Our approach also guarantees that we can find limiting characteristics approximately with an arbitrarily fixed error. As an example, we obtain the respective bounds of the truncation error for an Mt/Mt/S queue for any number of servers S. Arbitrary intensity functions instead of periodic ones can be considered in the same manner.
    Źródło:
    International Journal of Applied Mathematics and Computer Science; 2014, 24, 3; 503-518
    1641-876X
    2083-8492
    Pojawia się w:
    International Journal of Applied Mathematics and Computer Science
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Approximation models for the evaluation of TCP/AQM networks
    Autorzy:
    Marek, Dariusz
    Domański, Adam
    Domańska, Joanna
    Szyguła, Jakub
    Czachórski, Tadeusz
    Klamka, Jerzy
    Filus, Katarzyna
    Powiązania:
    https://bibliotekanauki.pl/articles/2173690.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    diffusion approximation
    active queue management
    AQM
    congestion control
    dropping packets
    fluid flow approximation
    FFA
    non-integer order PIγ controller
    G/G/1/N queueing model
    przybliżenie dyfuzji
    aktywne zarządzanie kolejką
    kontrola zatorów
    upuszczanie pakietów
    przybliżenie przepływu płynu
    model kolejkowania G/G/1/N
    Opis:
    The article proposes a model in which Diffusion Approximation is used to analyse the TCP/AQM transmission mechanism in a multinode computer network. In order to prevent traffic congestion, routers implement AQM (Active Queue Management) algorithms. We investigate the influence of using RED-based AQM mechanisms and the fractional controller PIγ on the transport layer. Additionally, we examine the cases in which the TCP and the UDP flows occur and analyse their mutual influence. Both transport protocols used are independent and work simultaneously. We compare our solution with the Fluid Flow approximation, demonstrating the advantages of Diffusion Approximation.
    Źródło:
    Bulletin of the Polish Academy of Sciences. Technical Sciences; 2022, 70, 4; art. no. e141986
    0239-7528
    Pojawia się w:
    Bulletin of the Polish Academy of Sciences. Technical Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    An influence of service discipline on characteristics of a single-server queue with non-homogeneous customers
    Autorzy:
    Tikhonenko, O.
    Gola, A.
    Ziółkowski, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/122059.pdf
    Data publikacji:
    2010
    Wydawca:
    Uniwersytet Humanistyczno-Przyrodniczy im. Jana Długosza w Częstochowie. Wydawnictwo Uczelniane
    Tematy:
    single-server queueing system
    customers loss probability
    analytical model
    simulation
    queueing theory
    system kolejkowy z jednym serwerem
    prawdopodobieństwo utraty klientów
    model analityczny
    symulacja
    teoria kolejkowania
    Opis:
    For single-server queueing systems with non-homogeneous customers having some random space requirements we compare processor-sharing and FIFO disciplines and investigate their influence on the total sum of space requirements characteristics (when this sum is not limited, i.e. V = ∞) and customers loss probability (when this sum is limeted, i.e. V < ∞), using analytical modeling and simulation.
    Źródło:
    Scientific Issues of Jan Długosz University in Częstochowa. Mathematics; 2010, 15; 191-200
    2450-9302
    Pojawia się w:
    Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the law of the iterated logarithm in hybrid multiphase queueing systems
    Autorzy:
    Minkevičius, Saulius
    Powiązania:
    https://bibliotekanauki.pl/articles/1181931.pdf
    Data publikacji:
    2020
    Wydawca:
    Politechnika Wrocławska. Oficyna Wydawnicza Politechniki Wrocławskiej
    Tematy:
    operations research
    model
    computer network
    queueing network
    performance evaluationi
    iterated logarithm
    Opis:
    The model of a hybrid multiphase queueing system (HMQS) has been developed to measure the performance of complex computer networks working under conditions of heavy traffic. Two probability limit theorems (laws of the iterated logarithm, LIL) are presented for a queue length of jobs in HMQS.
    Źródło:
    Operations Research and Decisions; 2020, 30, 4; 57-64
    2081-8858
    2391-6060
    Pojawia się w:
    Operations Research and Decisions
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    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
    Artykuł
      Wyświetlanie 1-7 z 7

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