Analitiko-chislennoye modeling of the distributed information systems with the low level of a network traffic
Abstract
Analitiko-chislennoye modeling of the distributed information systems with the low level of a network traffic
Incoming article date: 02.09.2015The architecture of the distributed information systems (IS) is considered, with use of the office of the closed systems of mass service (SMS) and a method of the enclosed Markov's chains the analitiko-numerical model of this class IS with remote execution in the conditions of the low level of load of a network traffic is developed. The following stages of creation of this model are offered: conceptual representation of functioning of system; formation of full space of conditions of the chain of Markov enclosed in casual process; a choice of the moments of regeneration of messages in system; definition of space of conditions of a chain of Markov taking into account restrictions; calculation of a matrix of transitional probabilities; receiving formulas of calculation of characteristics of the distributed IS on the basis of a vector of the stationary distribution of probabilities (SDP) at the moments of regeneration of messages. The analitiko-numerical model offered and in detail considered in article can be realized in any high-level programming language and respectively serve as the highly effective tool for carrying out experiments with a research objective of behavior of the distributed IS at various values of its external and internal parameters.
Keywords: the distributed information system, replication, network traffic, remote execution, Poisson stream, erlangovsky stream, method of the enclosed Markov's chains, space of states, the moments of regeneration, matrix of transitional probabilities