Scientific publications

We explore multi-orbit retrial system with classical retrial policy. Arrivals enter the system according to renewal input. A random customer belongs to class j with a given probability p_j,j=1,⋯,K. If new arrival, meets the server busy, it joins to corresponding infinite capacity orbit and then retries to attack server after a random time interval distributed as ξ(j). The main feature of considered system is general distribution of retrial times. Our goal in this paper is to verify the stability by exploring the behavior of orbit dynamics for different distributions of ξ(j) under the sufficient stability condition, obtained for the systems with exponential and NBU retrials.