For citation:
Tananko I. E. About closed queuing networks with variable number of queues. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2005, vol. 5, iss. 1, pp. 138-141. DOI: 10.18500/1816-9791-2005-5-1-138-141, EDN: GEZZBA
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
30.09.2005
Full text:
(downloads: 96)
Language:
Russian
Heading:
Article type:
Article
UDC:
519.872
EDN:
GEZZBA
About closed queuing networks with variable number of queues
Autors:
Tananko Igor' Evstaf'evich, Saratov State University
Abstract:
Consider a closed queueing network with the possibility of breakdowns at each server. When a breakdown occurs at one server, all customers there are transferred in queue with operational server immediately, and the server is then sent for repair. Steady-state probability of the queue sizes is obtained, and is shown to have a product form solution.
Key words:
References:
- Economides A. A., Silvester J. A., “Optimal routing in а network with unreliable links”, IEEE INFOCOM’88 (1988, Aug.), 288–297
- Chao X., “A queueing network model with catastrophes and product form solution”, Oper. Res. Let., 18 (1995), 75–79
- Chakka R., Mitrani I., “Approximate solutions for open networks with breakdowns and repairs”, Stochastic Networks — Theory and applications, Chapt. 16, eds. F. P. Kelli, S. Zachary, I. Ziedins, Oxford, 1996, 267–280
- Vinod В., Altiok Т., “Approximating unreliaЬle queueing networks under the assumption of exponentiality”, J. Oper. Res. Soc., 37:3 (1986), 309–316
- Митрофанов Ю. И., Основы теории сетей массового обслуживания, Саратов, 1993
Received:
04.03.2005
Accepted:
21.08.2005
Published:
30.09.2005
- 776 reads