Analysis of Multi-Server Queue With Spatial Generation and Location-Dependent Service Rate of Customers as a Cell Operation Model

A novel multi-server queue with heterogeneous customers is formulated and analyzed as the model of operation of a cell of a mobile communication network. We assume that the cell is divided into zones depending on signal quality. The type of a customer corresponds to a zone in which this customer is currently situated and the rate of the customer’s service depends on his/her type. During service, the customer may transit to another zone or terminate service (e.g., owing to poor service quality or departure from the cell). The stationary distribution of the system states and the key performance measures of the system are computed. Numerical results are presented.

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