A. A. Nazarov, D. D. Dammer, “A study of additionally generated flows in systems with unlimited number of devices and recurrent servicing with the Markov summation method”, Avtomat. i Telemekh., 2019, Issue 12,Pages <nobr>133

This article is cited in 1 paper

Stochastic Systems

A study of additionally generated flows in systems with unlimited number of devices and recurrent servicing with the Markov summation method

A. A. Nazarov, D. D. Dammer

Tomsk State National Research University, Tomsk, Russia

Abstract: We study additional flows of events that are generated by claims located in the queuing system with an unlimited number of devices and arbitrary claim servicing time. We propose and carry out the Markov summation method to obtain the characteristics of the additional flows in question.

Keywords: queueing system, Markov summation method, characteristic function, additional event flows.

Presented by the member of Editorial Board: V. M. Vishnevsky

Received: 13.11.2018
Revised: 24.12.2018
Accepted: 07.02.2019

DOI: 10.1134/S0005231019120080