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Mathematical modeling of the distributed ledger in the sphere of real estate lease as a network of mass service

Abstract

Mathematical modeling of the distributed ledger in the sphere of real estate lease as a network of mass service

Evsin V.A., Shirobokova S.N., Evsina V.A., Prodan E.A.

Incoming article date: 08.07.2018

This article presents a mathematical model of the distributed registry as a Queuing network. The main components of this network, as well as their formal representation are considered. The model of the peer-to-peer network is visualized, the vector of the network state is defined, and the restrictions of the state space are defined. After that, the laws of distribution of individual flows and service time were presented. In addition, the design elements of the infinitesimal matrix were determined. Based on the data obtained, a simulation model of this process was produced. For simulation, the Anylogic package was used. The results of simulation were analyzed and the most optimal parameters were selected.

Keywords: Queuing network, information security, distributed registries, computer science and engineering, mathematical modeling information system, corda