What Hill–Marty model learn from and break through Amdahlʼs law?

Chip multiprocessors (CMPs) or multicores are emerging as the dominant computing platform. Recently, Hill and Marty developed the model which augmenting Amdahlʼs law to the multicore hardware, and this model has received great attention. However, there are still the following fundamental problems in the perspective of theory remains unsolved, such as: How general is the observation in Hill–Marty model, does it only hold for some specific architectures? As a corollary of Amdahlʼs law, what does Hill–Marty model learn from and break through Amdahlʼs law? This paper investigates an analytical and quantitative analysis to these problems, the obtained results could provide computer architects with a better understanding of multicore scalability.

► Prove that the observation in Hill–Marty model will hold in a very general framework.
► Indicate the breakthrough on speedup of Hill–Marty model to Amdahlʼs law.
► We note the limitation of Hill–Marty model on massive parallelism with multicore.