Stochastic Model of Finite Buffer Priority Queuing System with Multi-type Batch Arrival and General Rejection

This paper is motivated by the need of buffer dimensioning and traffic management solution for DSL access lines providing quality assured service delivery. To provide exact performance evaluation of such systems often queuing models are applied. The quality of service analysis of access lines using pre-emption option needs analysis of finite buffer priority queuing systems with batch arrival. The presented work extends this queuing model by introducing general rejection and multi-type arrival. To derive numerical results for performance evaluation of queuing systems based on this model analytical framework is given and general application of the model is proven by showing examples of partial, complete and generally linear rejections.