Hi,

I am afraid your question might be a bit too broad. LTE encompasses a lot of functions/protocols/features. There may be specific analytical models for some of them. You may want to browse PIMRC and Vehicular Technology conference proceedings, or IEEE Trans. on Vehicular Technology journal for some of them.

The big question, however, is how reliable these are, given the amount of interactions between different components and the important role played by the physical layer.

You may want to use simulation to analyze LTE.

Hi,

I can suggest you the following papers:

1. Analytical model of failure in LTE networks

http://ieeexplore.ieee.org/xpl/articleDetails.jsp?reload=true&arnumber=5431443

2. Analytical Modeling of the LTE Radio Scheduler http://link.springer.com/chapter/10.1007%2F978-3-658-00808-6_7

3. An analytical model to study the impact of time-varying cell capacity in LTE networks http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=6097234

4. A Semi-Analytical Macroscopic MAC Layer Model for LTE Uplink http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=6208726

5. Analytical Analysis of the Coverage of a MBSFN OFDMA Network http://ieeexplore.ieee.org/xpl/articleDetails.jsp?tp=&arnumber=4698234

Anyway, I agree with the previous comment.

So many components must be considered, and for this reason I think it is very difficult to find an analytical model for LTE networks which covers all the aspects (e.g., radio failure, channel variations, channel dependent scheduling, user mobility, QoS profiles, time and frequency domains scheduling).