Cite this article as:

Tananko I. E. About closed queuing networks with variable number of queues. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2005, vol. 5, iss. 1, pp. 138-?.


Published online: 
12.02.2020
Language: 
Russian
Heading: 
UDC: 
519.872

About closed queuing networks with variable number of queues

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.

References

[1] Economides A. A., Silvester J. A., “Optimal routing in а network with unreliable links”, IEEE INFOCOM’88 (1988, Aug.), 288–297
[2] Chao X., “A queueing network model with catastrophes and product form solution”, Oper. Res. Let., 18 (1995), 75–79
[3] 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
[4] Vinod В., Altiok Т., “Approximating unreliaЬle queueing networks under the assumption of exponentiality”, J. Oper. Res. Soc., 37:3 (1986), 309–316
[5] Митрофанов Ю. И., Основы теории сетей массового обслуживания, Саратов, 1993

Full text: