In this article on the basis of the theory of the systems of mass service (SMS) the analitiko-numerical model is developed for the distributed information system (IS) in the conditions of the high level of a network traffic. Expressions of criterion function for a problem of multiple parameter optimization of the transferred packages, formulas of calculation of characteristics of SMO on the basis of a vector of the stationary distribution of probabilities (SDP) are given

Keywords: the distributed information system, network traffic, the adaptive protocol, queuing system, Markov process, target function, multiparameter optimization, the state space, the infinitesimal matrix, vector of stationary distribution of probabilities.

The 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