Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)8346Research ArticleTime Characteristics of Queuing System with Renovation and ReserviceZaryadovI SProbability Theory and Mathematical Statistics Departmentizaryadov@sci.pfu.edu.ruScherbanskayaA AProbability Theory and Mathematical Statistics Departmentnurafore@mail.ruPeoples’ Friendship University of Russia150220142616608092016Copyright © 2014,2014This article is devoted to time characteristics of queuing system with recurrent input flow, one server, exponential service time distribution and infinite queue. The mechanism of renovation with reservice (repeated service) is introduced. It means that a packet at the moment of the end of its service with some probability may just leave the system or with complementary probability will drop all other packets in the system and return for service. Assuming that we know the steady-state probability distribution of number of packets (calculated with help of embedded by the moments of arrival Markov chain) the main emphasis of the article will be on system time characteristics such as steady-state distributions of time in system for serviced or dropped packets, average time characteristics - mean service time, mean waiting time for a dropped, serviced and an arbitrary packet.renovationreservicegeneral input flowtime characteristicsserviced packetdropped packetобновлениеповторное обслуживаниерекуррентный входящий потоквременные характеристикиобслуженная заявкасброшенная заявка