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)8270Research ArticleThe Analysis of Queueing System with Two Input Flows and Stochastic Drop MechanismZaryadovI SDepartment of Applied Probability and Informaticsizaryadov@sci.pfu.edu.ruGorbunovaA VDepartment of Applied Probability and Informaticsavgorbunova@rambler.ruPeoples’ Friendship University of Russia150220152333708092016Copyright © 2015,2015The queueing system with two independent ﬂows of requests with diﬀerent types of priorities is considered. The incoming ﬂows are Poisson ﬂows with diﬀerent (non equal) rates. The service times of each type requests are independent and exponentially distributed. The priority requests at the end of its service can drop non-priority ones with probability q (renovation probability) or just leaves the system with probability p = 1 - q. For general case the two-dimensional Markov process is introduced and the system of equilibrium equations for steady-state probability distribution is presented. For special case, when drop probability q is equal to one, some probabilistic characteristics as the steady-state probability distribution of priority requests, the probability of idle period are obtained. Also the analytical expressions for some characteristics of non-priority requests, such as probability of being dropped (or serviced), waiting time distribution for non-priority requests (in terms of Laplace-Stieltjes transformation and generating function) and mean waiting time, are obtained.queueing systemtwo input ﬂowsrenovation probabilitystochastic drop mechanismtime-probability characteristicsобновлениесистема массового обслуживаниядва входящих потокасброс заявоквероятностно-временные характеристики