Mathematical Model of a System for Physics Experimental Data Processing with the Need to Reprocess Data

Abstract

The paper presents a mathematical model of a system for physics experimental data processing with the need to reprocess data. This model is a queuing system with an unlimited number of servers with feedbacks and service times of primary and repeated applications having different parameters. An expression for the characteristic probability distribution function of the number of experimental data that require reprocessing during allotted time is derived by the method of Markovian summation. The main probability characteristics of this distribution are obtained.