Optimizing Energy Efficiency in Wireless Sensor Networks: A Mathematical Analysis and Enhancement of the (one of the chosen) Latest WSN Protocols

I want someone to help me find a potential problem on “Improving any of the most latest protocols in WSN mathematically for energy conservation ” and solving it. I want a really narrowed down specific mathematical problem to be solved in any of the protocols that the writer chooses for the paper which addresses energy consumption in WSN. The diagrams and methodology should clearly be written with all the research papers mentioned that were used for survey (eg., I have attached a paper in the files for bit more understanding.). I want all the methodolgies and technologies clearly mentioned in the paper with a flowchart for better understanding. At the end, there has to be one logic solved in the protocol for energy conservation. Choose a latest protocol, since they are more prone to error and easy to look for a potential solution to them. I want a detailed workplan, methodology with the specifics of the problem and the solution to it (details of how it is solved). Literature survey is also important to be included.