Development of a Mathematical Model of a Blockchain Network Emulator

For almost 15 years since the launch of the first blockchain network, Bitcoin, the technology has shown high growth rates. Distributed anonymous network technology has found its place in the field of digital finance, providing its users with reliable punctures of interaction and compliance with agreements. As a rule, the source code of the platforms is open, which allows you to use it and, having finalized it, release your own fork to the public with slightly modified rules of operation. Today there are about 50 blockchain platforms. Their current state is completely different – some successfully exist and are leading the market, others are trying to find their audience, others were doomed to failure due to unacceptable configurations or unwillingness of developers to continue working on them. The developer of decentralized solutions faces the issue of direct interaction with the blockchain platform, however, with all their diversity, it is difficult to make a choice in favor of optimal working conditions for his future project. So different consensus mechanisms, different order of transaction processing, different configuration of network nodes interaction and other factors lead to different characteristics of the network as a whole, including its resistance to attacks, the speed of adding transactions and blocks. In this paper, the proposed mathematical model will be considered, taking into ac-count a number of factors of network operation, including combinations of various indicators of these factors, cases in which the network will work un-stable will be described. This model will serve as the basis for the development of a software emulator that will allow to predict the behavior of the network with its various characteristics.