According to analytics, the global mobile date traffic will grow three times faster than fixed traffic by 2019. The number of user’s mobile devices is supposed to increase from 4.1 billion to 4.9 billion while the number of mobile device connections can reach even 10 billion. Broadband speeds in wireless networks are expected to double from 1.7 Mbps to 4.0 Mbps to the end of 2019. As it is noted the mobile video traffic will be up to 72 percent of the global mobile traffic. As the number of wireless connections tends to increase significantly, it results in dramatic mobile traffic growth. Mobile service providers face the challenge to utilize limited radio resources efficiently. In this paper, we propose a mathematical model of radio resources allocation in broadband wireless networks such as LTE-Advanced in terms of queuing systems and evaluate blocking probability and average amount of occupied resources. © Springer International Publishing Switzerland 2015.