Abstract. Call admission control must be designed to guarantee both a grade of service (GoS), i.e., probability of blocking new call, probability of forced termination of calls already in progress due to handoffs, and a quality of service (QoS), i.e., signal-to-interference ratio (SIR). Thus how to design appropriately call admission control policy is crucial in the envisioned personal communication networks. Considering user mobility in LTE networks, a call blocking model and its optimal solution algorithm is proposed to identify the criteria with which new mobile terminal requests will be blocked and to define the performance results, which will determine how optimal the resource allocation is.