Queueing Systems With Random Volume Internal and External Calls

• Autorzy: Tikhonenko O.
• Języki publikacji: EN

Abstrakty

EN

In the present paper we investigate a single-server BM/.G/1 /∞ queuing system with non-homogeneous calls of two following types: 1) external calls served by the system under consideration, 2) internal calls arrive only when an external call is served and interrupt the service process. The external calls appear according to a stationary Poisson process with bulk arrivals. Calls of each from above-mentioned types are characterized by some random volume. Service time of the call arbitrarily depends on its volume. Two schemes of calls service organization are analyzed. The non-stationary and stationary total calls volume distribution is determined in terms of Laplace and Laplace-Stieltjes transforms. The stationary first moment of total calls volume distribution is calculated for each scheme.

Słowa kluczowe

EN

Poisson process; collection system; random volume

PL

proces Poissona; system kolejkowy; głośność losowa

• Wydawca: Wydawnictwo Uniwersytetu Humanistyczno-Przyrodniczego im. Jana Długosza w Częstochowie
• Czasopismo: Scientific Issues of Jan Długosz University in Częstochowa. Mathematics
• Rocznik: 2006
• Tom: Vol. 11
• Strony: 103--120
• Opis fizyczny: Bibliogr. 4 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

• [1] G.P. Klimov. Stochastic Service Systems. Nauka, Moscow, 1966. (In Russian).
• [2] V.F. Matveev, V.G. Ushakov. Queueing Systems. Moscow University Press, Moscow, 1984. (In Russian).
• [3] O.M. Tikhonenko. Stochastic Methods of Computer Systems Analysis. Akademicka Oficyna Wydawnicza EXIT, Warszawa, 2006. (In Polish).
• [4] O.M. Tikhonenko. Queueing Models in Computer Systems. Universitetskoe, Minsk, 1990. (In Russian).