On One Model of Complex Technical Queuing System with Unreliable Devices and with Time Redundancy

Abstract

The given article deals with the development of analytical model of request service process by multichannel technical system with unreliable, repaired and reconfigured service facilities. It is assumed that the system is functioning in service mode of random length random request flows. The system considers the existence of time redundancy for afterservice of calls, the service of which is interrupted with refusal, non-depreciating the performed part of the task. Special probability functions are introduced which on the basis of probability reasoning allow to make the systems of integral equations describing the dynamics of request service process.

Share and Cite:

Shamugia, R. (2014) On One Model of Complex Technical Queuing System with Unreliable Devices and with Time Redundancy. International Journal of Communications, Network and System Sciences, 7, 257-264. doi: 10.4236/ijcns.2014.78028.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] Cherkesov, G.N. (2005) Durability of Software-Hardware Complexes. Piter, 479.
[2] Polovko, A.M. and Gurov, C.V. (2008) Fundamentals of the Theory of Durability. Petergurg, 704.
[3] Gnedenko, B.V. and Kovalenko, I.N. (2012) Introduction to Queuing Theory. LKT, 400.
[4] Saati, T.L. (1965) Elements of Queuing Theory and Its Application. Sovetskoe Radio, 510.
[5] Mikadze, Z.I., Mikadze, I.S. and Khocholava, V.V. (2007) On One Multichannel Mixed Queuing System with Limited Waiting Time. Automatics and Telemechanics, 7, 44-51.
[6] Khurodze, R.A., Khocholava, V.V. and Mikadze, I.S. (2003) On One Queuing System with Unreliable Queuing System. Problems of Applied Mechanics, 3, 9-18.
[7] Mikadze, I.S. and Khocholava, V.V. (2004) On One Model of Information Transition by Unreliable Communication Channel. Automatics and Telemechanics, 8, 85-90.
[8] Mikadze, I.S., Khocholava, V.V. and Khurodze, R.A. (2004) Virtual Waiting Time in Single-Line QS with Unreliable Devices. Automatics and Telemechanics, 12, 119-128.
[9] Khocholava, V.V. and Mikadze, I.S. (2002) On One Model of Queuing System. Georgian Engineering News, 4, 47-52.

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.