A Customer Service Model in an Adaptive-Modulation Mobile Communication Cell with Allowance for Random Environment

We study the cell performance characteristics for a mobile network in which the user service rate depends on the area of the cell where the user is located. The division of the cell into zones is determined by the signal quality and depends on the distance to the base station and the presence of obstacles and interference for the radio signal. The incoming flow of requests is described by a marked Markovian arrival process, where the request type corresponds to the zone where it is generated. Being served, the requests can move between zones, resulting in a change in their types. The possibility of fluctuations in the flow and service process parameters under the influence of exogenous random disturbances (random environment) is taken into account. The importance of taking into account the dependence of parameters on the state of the random environment and the possibility of using the results for solving optimization problems are numerically illustrated.