Hi,
I don't know if I can help, that is a very mathematical paper. Plus I know one of the authors, and this... well, it doesn't help.
As a general thing, I'd say that the idea of splitting the packets to save energy is not really a good idea. It would be if the overhead wasn't there, but each split packet will have a new MAC header, and the MAC header is a huge penalty. It's worth considering that in Wi-Fi the energy saving is made through packet *aggregation*... enough said.
The reliability is a different thing, and packet splitting may help there.
Overall... well, if I could forecast a research topic outcome in one post I'd be a wizard (and I'm not).
Anyway, you're asking for suggestions. I'd start by defining the exact packet structures and headers needed to split and rebuild the packets. Possibly in a way that can be integrated with some standard.
the actual algorithm for splitting up a packet... I'd help but it's not my field, sorry.
Cheers,
T.