Analysis of the Queueing System Describing a Mobile Network Subscriber’s Processing Under Varying Modulation Schemes and Correlated Batch Arrivals

The model of subscriber’s processing in a mobile communication network consisting of a finite number of zones with the subscribers’ service rate depending on a zone where the subscriber is currently residing, is analysed. The subscribers arrivals are defined by a batch marked Markovian process. The total number of subscribers that can receive service in a cell at the same time is restricted. The operation of the cell is described by a multi-server queueing system whose dynamics is defined by a multi-dimensional Markov chain. The generator of the chain having the upper-block-Hessenbergian structure is derived. The stationary distribution of the chain and the primary indicators of subscriber quality of service are found. Dependencies of the variety of important performance characteristics of the cell on the average rate of subscribers arrival and limiting number of subscribers that can be processed simultaneously are numerically highlighted.