Model of operation of a cell of a mobile communication network with adaptive modulation schemes and batch arrivals

A model of a cell of a mobile communication network divided into a finite number of zones with dependence of the users' service rate on a zone is considered. The arrival flow of users is defined by a batch marked Markovian process. The number of users that can receive service in a cell simultaneously 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-Hessenbergian structure is derived. The stationary distribution of {the chain} and the main characteristics of the quality of service are found.