Which memory allocation algorithm suits best for performance and time critical c++ applications?

Question

I ask this question to determine which memory allocation algorithm gives better results with performance critical applications, like game engines, or embedded applications. Results are actually depends percentage of memory fragmented and time-determinism of memory request.

There are several algorithms in the text books (e.g. Buddy memory allocation), but also there are others like TLSF. Therefore, regarding memory allocation algorithms available, which one of them is fastest and cause less fragmentation. BTW, Garbage collectors should be not included.

Please also, note that this question is not about profiling, it just aims to find out optimum algorithm for given requirements.