The volume of mobile traffic is growing every year. More and more frequency resources are needed to provide users services with a required level of quality of service (QoS). One of the possible solutions to a problem of radio spectrum shortage is the sharing of spectrum between the owners and LSA licensees. Licensed shared access (LSA) framework gives the owner priority in spectrum access, to the detriment of the secondary user, LSA licensee. If the mobile operator users of both need continuous service without interruptions on the rented part of the spectrum, the rules of shared access should guarantee the possibility of simultaneous access. In this paper we simulate a queuing system and consider a scheme model of LSA framework with the limit power policy. We propose formulas for calculation of main characteristics of the model, – a blocking probability and a mean bit rate. These characteristics are very important in teletraffic theory. For example, blocking probabilities help to determine the number of required channels. © Springer International Publishing AG 2017.