Stationary characteristics of M θ /M/1 queue with switching of service modes

• Autorzy: Kopytko B. , Zhernovyi K.
• Języki publikacji: EN

Abstrakty

EN

For an M θ /M/1 queue with a threshold switching of service modes at the start of the service of the next customer an algorithm for determining the stationary distribution of the number of customers and stationary characteristics (average queue length, average waiting time, variance of queue length) is proposed. In the case the minimum number of incoming customers in the group is comparable to threshold value h, the stationary characteristics are found in an explicit form. The results are verified by simulation models constructed with the assistance of GPSS World.

Słowa kluczowe

EN

stationary characteristics; queueing systems

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2011
• Tom: Vol. 10, nr 2
• Strony: 117--128
• Opis fizyczny: Bibliogr. 8 poz., rys., tab.

Twórcy

autor

Kopytko B.

autor

Zhernovyi K.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

• [1] Anisimov V.V., Switching Processes in Queueing Models, ISTE, London 2008.
• [2] Dudin A.N., Optimal multithreshold control for a BMAP/G/1 queue with N service modes, Queueing Systems 1998, 30, 3-4, 273-287.
• [3] Zhernovyi K.Yu., Investigation of the M θ/G/1/m queue with switching of service modes and threshold blocking of input flow, Information Processes 201, 10, 2, 159-180 (in Russian).
• [4] Zhernovyi K.Yu., The general model of M θ//G/1/m queue with a threshold functioning strategy, Scientific Bulletin of Chernivtsi University, Mathematics 2011, 1, 3, 26-37 (in Ukrainian).
• [5] Ryzhykov Yu.I., On the problem of two-speed service, Problems of Information Transmission 1978, 14, 2, 105-112 (in Russian).
• [6] Dudin A.N., Medvedev G.A., Melenets Yu.V., Practical work on a computer on the queuing theory, Electronic Book BSU, Minsk 2003, 109 (in Russian).
• [7] Boev V.D., Simulation of Systems, GPSS World Tools, BKhVPeterburg, St. Petersburg 2004, 368 (in Russian).
• [8] Zhernovyi Yu.V., Simulation of Queueing Systems, Ivan Franko National University, Lviv 2007 (in Ukrainian).