TITLE:
On One Analytical Model of a Probability Estimation of Quality and Efficiency of Functioning of Complex Technical Queuing Systems
AUTHORS:
Ramaz R. Shamugia
KEYWORDS:
Multichannel Queuing Systems, QS with Unreliable Facilities, QS with Repairable Facilities, Servers with Failures, QS with Queues
JOURNAL NAME:
International Journal of Communications, Network and System Sciences,
Vol.8 No.8,
August
4,
2015
ABSTRACT: The work is dedicated to the development of
analytical model of probability estimation of reliability, productivity,
quality and efficiency of functioning of the complex technical queuing system
consisting of the arbitrary number of marked groups of the service devises
(channels, facilities, servers) differing with reliable characteristics
(parameters of refusals and restorations) of forming their composition (also of
arbitrary number) marked, identical, unreliable and restorable serving channels
in which for serving come in requirements with intensities depending on marking
of channels. In the considered system it is supposed that the currents of
refusals of serving devices and currents of coming requirements are subdued to
Poisson, and the currents of restorations of refused devices and the currents
of services of coming requirements—exponential laws of distribution of
probabilities. A stochastic process of transfers of a system by that is
Markovian process with continuous time and discrete states. Correlations
linking the basic parameters and exit characteristics of the systems of the
pointed out type are obtained in a view of probabilities of the system location
in the given moment of time in one of the possible states.