Development and Investigation of the Program Model of Multichannel Queueing System with Unreliable Recoverable Servers in Matlab Environment
- 1 Research Department of Radiophysics and Electronic Systems Modeling, Ilia Vekua Sokhumi Institute of Physics and Technologies, Tbilisi, Georgia
- 2 Faculty of Mathematics and Computer Science, Sokhumi State University, Tbilisi, Georgia
Abstract
In real life, in different industries, we often deal with systems designed for multiple use for performing single-type tasks. Processes taking place at this time are called service of requirements, and the systems themselves—Queueing Systems. This article is dedicated to computer software modelling of processes taking place in the systems in question, Markov processes in particular. In this article, by means of Matlab environment, software realization of one of the typical models of queueing service theory-multichannel QS with unreliable recoverable servers and limited number of requirements in the system, is fulfilled. The results of this research are important because it gives the possibility to use received results to determine optimality degree of some real queueing systems that possess Markov property.
- Saati, T.L. (1965) Elements of Queuing Theory and Its Application. Sovetskoe Radio, 510.
- Cherkesov, G.N. (1974) Dependability of Technical Systems with Time Redundancy. Sovetskoe Radio, 296.
- Gnedenko, B.V. and Kovalenko, I.N. (2012) Introduction to Queuing Theory. LKT, 400.
- Feller, W. (1971) An Introduction to Probability Theory and Its Applications. Vol. 2, John Willey and Sons, New York, 766.
- [Khurodze, R.A., Shamugia, R.R. and Kukava, R.R. (2006) Research of Dependability Characteristics of Technical Systems with Equipment and Time Duplications. Bulletin of the Georgian National Academy of Sciences, 174, 110-113.
- Shamugia, R.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. http://file.scirp.org/Html/1-9701840_48353.htm
- Shamugia, R.R. (2014) On One Model of Multichannel Queuing System with Unreliable Repairable Servers and Input Memory. International Journal of Communications, Network and System Sciences, 7, 279-285. http://www.scirp.org/journal/PaperInformation.aspx?PaperID=48474
- Shamugia, R.R. (2015) On One Analytical Model of a Probability Estimation of Quality and Efficiency of Functioning of Complex Technical Queuing Systems. International Journal of Communications, Network and System Sciences, 8, 295-303. http://www.scirp.org/journal/PaperInformation.aspx?PaperID=58537
- Shamugia, R.R. (2016) Probabilistic Model of Technical Queuing Systems with Subsystems for Detection and Recovery of Failures. International Journal of Communications, Network and System Sciences, 9, 305-310. http://www.scirp.org/journal/PaperInformation.aspx?PaperID=69525