A mathematical model is proposed for the operation of a cell in a mobile communication network with moving users. The cell is divided into several zones distinguished by the strength of the signal and, consequently, by the transmission rate. The process of users activation in various zones is defined by the marked Markovian arrival process. After activation, a user can move and transit to other zones or to another cell. The service rate of an arbitrary user depends on the zone where the user is currently located and the total number of active users in the cell. When the total bandwidth required by all active users exceeds the bandwidth of the base station, a proportional reduction of the bitrate provided to each user (bandwidth sharing) is applied. The key performance indicators of the system are computed, and illustrative numerical examples are presented.

中文翻译：

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具有共享带宽和移动用户的小区运行的数学模型

提出了一种数学模型，用于在移动用户的移动通信网络中进行小区的操作。小区被划分为多个区域，这些区域根据信号强度以及传输速率进行区分。用户在各个区域的激活过程由标记的马尔可夫到达过程定义。激活后，用户可以移动和过渡到其他区域或另一个小区。任意用户的服务费率取决于用户当前所在的区域和小区的活跃用户总数。当所有活动用户所需的总带宽超过基站的带宽时，按比例减少提供给每个用户的比特率（带宽共享）。计算系统的关键性能指标，