Retrial queueing model for multimedia over downlink in 3.5G wireless network

In this paper, a model for multimedia transmission over downlink shared channel in 3.5G wireless network with possible retrials is presented. The multimedia stream consists of multiple substreams that are aggregated into one real-time and one nonrealtime flows. Correlation with each flow and between flows is assumed. Additionally, we propose a combined time-space priority buffer management scheme to optimize quality of service requirements for each flow. The problem is formulated in terms of a queue with two priority classes, one of which has time priority while the another has space priority. The input is described by the Batch Marked Markovian Arrival Process (BMMAP). Service time distributions are of PH (phase) type dependent on the class of a customer. The buffer is finite, but the customers of a class having higher priority for taking into the service from a buffer (time priority) can occupy only a part of this buffer. The customers of a class having lower priority, which meet full buffer upon arrival, become repeated Customers and try to enter the system again in random time intervals. Queueing system's behavior is described in terms of multi-dimensional continuous time space inhomogeneous skip-free to the left Markov chain. It allows to exploit an effective algorithm for calculation of the stationary distribution of the queueing system. Loss probability for customers of both classes is calculated. Waiting time distribution for priority customers is calculated.