Performance evaluation of practical parallel computation model LogPQ

Massively parallel computers consisting of a large number of processing elements have been developed and expected as high performance computers in advanced science and technology. Practical parallel computation model has been required to analyze parallel algorithms on massively parallel computers. We present a practical parallel computation model LogPQ taking account of communication queues into the LogP model. The LogPQ model has three queues for each communication line, and four supplement parameters in addition to the LogP model. This paper addresses the performance of parallel matrix multiplication using the LogPQ model. The parallel performances on the parallel machine CM-5 are compared between the LogP and LogPQ model. It is seen that the LogPQ model expects the execution times more accurately than the LogP model.