Registration Number
0211U008954,
0107U000798
, R & D reports
Title
To develop high-precision methods for the evaluation and optimization of probability characteristics of redundant systems and retrial queuing systems
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Head
Kovalenko Igor,
Registration Date
02-12-2011
Organization
V.M.Glushkov Institute of Cybernetics of NASU
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Objective: to offer a few generalizing models covering such classes of systems such as redundant systems for rehabilitation and preventive maintenance, as well as systems with repeated demands, to develop analytic (in particular, asymptotic) methods, and methods for fast simulation, which will allow much more accurate estimate and simulate the behavior of systems, improve the reliability of the forecast reliability and confidence in the estimate. The results of the work: -A new method for obtaining upper and lower bounds for the reliability of critical applications, taking into account the different strategies of replenishment spare items; -A general model that describes the operation of systems nemarkovskogo type, a new method of accelerated simulation of failure probability, which allows for fairly mild conditions to construct estimates of the relative mean square error with limited accuracy, the method used to analyze the reliability of systems with the restoration and preventive maintenance; Asymptotic analysis, conducted the service system in which the service time distribution is a mixture of two exponential distributions, a necessary and sufficient condition, when the probability of system failure in the range of employment equivalent to the probability of monotone failure; -A generalization of the mathematical model of systems with the return of applications; developed methods for the analysis of this model in the case as fast as the moderate and slow return of the application from orbit; -Developed general principles of embedded Markov chain with a continuum of states, describing the evolution of systems with repeated calls; -The conditions for the ergodicity of the single-channel queuing system, which receives recurrent stream of objects, each of which generates a sequence of applications; -For the study of service systems with repeated applications of type and the method of accelerated simulation (the method of stratified sampling) algorithms for simulation of these systems; -A mathematical model for call-center as a queuing system with the return of applications; established as sufficient and necessary conditions for the ergodicity of this class of systems.
Product Description
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Коба О.В.
Коваленко І.М.
Кузнєцов І.М.
Кузнєцов М.Ю.
Пустова С.В.
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2020-04-02
