Multi-server closed queueing system with limited buffer space

• Autorzy: Tikhonenko A. , Tikhonenko-Kędziak A.

Identyfikatory

DOI

10.17512/jamcm.2017.1.11

• Języki publikacji: EN

Abstrakty

EN

In the paper, we investigate multi-server closed queueing systems with identical servers and a finite number of terminals. Requests from each terminal are characterized by a random space requirement (volume), the request service time doesn’t depend on its volume and has an exponential distribution. The total requests capacity in the system is limited by a positive value (buffer space memory volume) V. For such systems, stationary requests number distribution and loss probability are determined. The analogous results for open multi-server systems are obtained as a limit case. Some numerical results are attached as well.

Słowa kluczowe

EN

total requests capacity; memory space; loss probability; Stieltjes convolution

PL

systemy kolejkowe; splot Stieltjesa; liczba zgłoszeń; pojemność pamięci

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2017
• Tom: Vol. 16, nr 1
• Strony: 117--125
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Tikhonenko A.

• Faculty of Mathematics and Natural Sciences, College of Sciences Cardinal Stefan Wyszyński University in Warsaw Warsaw, Poland

autor

Tikhonenko-Kędziak A.

• Faculty of Mathematics and Natural Sciences, College of Sciences Cardinal Stefan Wyszyński University in Warsaw Warsaw, Poland

Bibliografia

• [1] Tikhonenko O., Probability Methods of Information System Analysis, Akademicka Oficyna Wydawnicza EXIT, Warsaw 2006 (in Polish).
• [2] Tikhonenko O.M., Queueing Models in Information Systems, Universitrtskoe, Minsk 1990 (in Russian).
• [3] Bocharov P.P., D’Apice C., Pechinkin A.V., Salerno S., Queueing Theory, VSP, Utrecht-Boston 2004.
• [4] Gnedenko B. V., Kovalenko I. N., Introduction to Queueing Theory, Birkhäuser, Boston 1989.
• [5] Breuer L., Baum D., An Introduction to Queueing Theory and Matrix-Analytic Methods, Springer, 2005.
• [6] Feller W., An Introduction to Probability Theory and its Applications. Vol. 2. Wiley, New York 1971.

Uwagi

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).