Evaluation the remote system quality indicators using a mathematical model

The popularity of web services has increased the demand for quality indicators of remote service systems. One of the indicators of the quality of such a service system is the response time of the system users. This time depends on several indicators, and if it exceeds a certain value, it causes inconvenience to the users of the system. Works based on previously conducted experimental investigations have a limited use. Unlike experimental studies, this research proposes using public service theory models to estimate the response time of user requests. Studies were done to identify system quality indicators using the suggested mathematical model. Based on the model, the waiting time for request responses, the dependence of the waiting time on the number of users, and the dependence of the waiting time on the service system's internal technical indicators were investigated. The studies done showed that the proposed model is completely consistent with the results obtained by the present experimental approach and may be widely employed in research.