Infinite-Server Queueing System with Two States of Service and Abandonments

Infinite-server queueing system with Poisson arrival process, two states of service and abandonments is considered in the paper. Such system can be used as a simple mathematical model of a subscriber communication network based on IAB (Integrated Access and Backhaul) technology with two mobile nodes. Joint probability distribution of the number of customers in the states of service is obtained under asymptotic condition of high intensity of the arrival process. Numerical experiments are performed to estimate precision and applicability area of the approximation built on the results of the asymptotic analysis.