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

Abstract: We study the cell performance characteristics for a mobile network in which the userservice rate depends on the area of the cell where the user is located. The division of the cell intozones is determined by the signal quality and depends on the distance to the base station and thepresence of obstacles and interference for the radio signal. The incoming flow of requests isdescribed by a marked Markovian arrival process, where the request type corresponds to the zonewhere it is generated. Being served, the requests can move between zones, resulting in a change intheir types. The possibility of fluctuations in the flow and service process parameters under theinfluence of exogenous random disturbances (random environment) is taken into account. Theimportance of taking into account the dependence of parameters on the state of the randomenvironment and the possibility of using the results for solving optimization problems arenumerically illustrated. © 2021, Pleiades Publishing, Ltd