STRONG STABILITY IN A JACKSON QUEUEING NETWORK

Non-product networks are extreme y difficult to analyze, so they are often solved by approximate methods However, it is indispensable to delimit the domain wherever these approximations are justified. Our goal in this paper is to prove the applicability of the strong stability method to the queueing networks in order to be able to approximate a non-product form networks by product ones. Therefore, we established the strong stability of a Jackson network M/M/1 -> M/M/1 (ideal model) after perturbing the service time distribution in the first station of a non-product network M/GI/1 GI/M/1 -> GI/M/1 (real model).