General approach to determining the basic characteristics of queueing systems with finite total capacity

• Autorzy: Tikhonenko O.
• Języki publikacji: EN

Abstrakty

EN

We discuss a general view of solutions for characteristics of non-classical queueing systems with random capacity customers (demands), i.e. we suppose that each customer is characterized by some random capacity (volume) and the whole capacity (total volume) of customers present in the queueing system is bounded by a constant value V > 0. We determine the general view of the stationary number distribution and loss probability in the systems under consideration as compared with corresponding classical queueing systems. It's turned that in some cases we can write expressions for non-classical characteristics of finite total capacity queues if corresponding classical characteristics are known.

Słowa kluczowe

EN

queuing system; queuing; probability

PL

system kolejkowania; kolejkowanie; systemy kolejkowe; prawdopodobieństwo

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2007
• Tom: Vol. 12
• Strony: 107--114
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Tikhonenko O.

• Institute of Mathematics and Computer Science Jan Długosz University of Częstochowa al. Armii Krajowej 13/15, 42-200 Częstochowa, Poland

Bibliografia

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• [2] A. M. Alexandrov, B. A. Kaz, Non-homogeneous demands flow service. Izvestiya AN SSSR. Tekhnicheskaya Kibernetika, No 2, pp. 4753, 1973. (In Russian).
• [3] O. M. Tikhonenko, Queueing systems with random length demands and limitations. Avtomatika i Telemekhanika, No 10, pp.126134, 1991. (In Russian).
• [4] O. M. Tikhonenko, Determination of characteristics of queueing systems with limited memory. Avtomatika i Telemekhanika, No 6, pp. 105110, 1997. (In Russian).
• [5] O. M. Tikhonenko, K. G. Klimovich, Analysis of some queueing systems with restricted summarized volume. Proc. Int. Conf. "Modern Mathematical Methods of Investigating of the Information Networks", pp. 182186, Minsk, 2001.
• [6] O. M. Tikhonenko, K. G. Klimovich, Queueing systems for random length arrivals with limited cumulative volume. Problems of Information Transmission, vol. 37, No 1, pp. 7079, 2001.
• [7] O. M. Tikhonenko, Generalized Erlang problem in the theory of systems with random volume demands. Proc. Int. Conf. "Modern Mathematical Methods of Analysis and Optimization of Telecommunication Networks", pp. 238243, Minsk, 2003.
• [8] O. M. Tikhonenko, Generalized Erlang problem for queueing systems with limited total volume. Problems of Information Transmission, vol. 41, No. 3, pp. 243253, 2005.
• [9] O. Tikhonenko, Metody probabilistyczne analizy systemów informacyjnych. Akademicka Oficyna Wydawnicza EXIT, Warszawa, 2006.
• [10] L. A. Ovcharov, Applied Queueing Theory. Mashinostroenie, Moscow, 1969. (In Russian).