Research ArticleOpen AccessGoogle Scholar indexed
On One Model of Complex Technical Queuing System with Unreliable Devices and with Time Redundancy
Research Department of Radiophysics and Electronic Systems Modeling, Ilia Vekua Sukhumi Institute of Physics and Technology, Tbilisi, Georgia
- 1 Research Department of Radiophysics and Electronic Systems Modeling, Ilia Vekua Sukhumi Institute of Physics and Technology, Tbilisi, Georgia
International Journal of Communications, Network and System Sciences·Volume 07 (2014)·Pages 257–264·Published 31 July 2014·DOI10.4236/ijcns.2014.78028
Copy link · social · email
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.
KeywordsQS—Queuing System with Time BackupTechnical Queuing System with Non-Depreciating RefusalsMultichannel QS with Time BackupQS with Non-Depreciating RefusalsQS with Recovered DevicesQS Networks
- Cherkesov, G.N. (2005) Durability of Software-Hardware Complexes. Piter, 479.
- Polovko, A.M. and Gurov, C.V. (2008) Fundamentals of the Theory of Durability. Petergurg, 704.
- Gnedenko, B.V. and Kovalenko, I.N. (2012) Introduction to Queuing Theory. LKT, 400.
- Saati, T.L. (1965) Elements of Queuing Theory and Its Application. Sovetskoe Radio, 510.
- 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.
- 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.
- Mikadze, I.S. and Khocholava, V.V. (2004) On One Model of Information Transition by Unreliable Communication Channel. Automatics and Telemechanics, 8, 85-90.
- 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.
- Khocholava, V.V. and Mikadze, I.S. (2002) On One Model of Queuing System. Georgian Engineering News, 4, 47-52.