Mathematical model of e-learning transaction process

Abstract

Background. In the case of hyper-converged management, granular updating of the system is impossible. In addition, the processing time of transactions compared to distributed systems increases. Therefore, the task of ensuring the timely execution of transactions is relevant. Objective. The aim of the paper is to develop a mathematical model of e-learning transactions in a hyper-converged environment supporting electronic educational resources. In this model, timely execution of transaction requests minimizes the costs of the computing resource. Methods. A two-stage method for constructing a mathematical model is proposed. At the first stage, a set of valid transaction options for resources is defined. At the second stage, there is an optimal time allocation of resources between transactions. Results. A mathematical model of the transaction process is developed. The adequacy of the model is verified with the help of the simulation model. Conclusions. A mathematical model of e-learning transactions in a hyper-converged environment supporting electronic educational resources is proposed. This model allows minimizing the cost of a computational resource with timely execution of transaction requests.