As the demand for higher bit rates in LTE networks increases, new technologies to enhance the effectiveness of radio resource utilization are introduced. One of them is Multimedia Broadcast Multicast Service (MBMS) that enables the usage of multicast technology for multiple resource demanding services, e. g. file repair procedure, intended for resending lost or damaged file segments to users. An important question is to find the periodicity of resending file segment, i. e. forthcoming interval for collecting user requests for repair the same file segment. To address this problem, we propose a Markov model of file repair procedure and formulas for calculating the performance measures–blocking probability, mean delay of file repair to start, and radio channel downtime probability. We also formulate and numerically solve a non-linear optimization problem for mean value of the mentioned polling interval. © Springer International Publishing Switzerland 2015.