Analytic modeling of updating based cache coherent parallel computers

In this paper, we apply the Semi-markov Memory and Cache coherence Interference (SMCI) model, which we had proposed for invalidating based cache coherent parallel computers, to an updating based protocol. The model proposed here, the SMCI/Dragon model, can predict performance of cache coherent parallel computers with the Dragon protocol as well as the original SMCI model for the Synapse protocol. Conventional analytic models by stochastic processes to describe parallel computers have the problem of numerical explosion in the number of states necessary as the system size increases. We have already shown that the SMCI model achieved both the small number of states to describe parallel computers with the Synapse protocol and the inexpensive computation cost to predict their performance. In this paper, we demonstrate generality of the SMCI model by applying it to the another cache coherence protocol, Dragon, which has opposite characteristics than Synapse. We show the number of states required by constructing the SMCI/Dragon model is only 21 which is as small as SMCI/Synapse, and the computation cost is also the order of microseconds. Using the SMCI/Dragon model, we investigate several comparative experiments with widely known simulation results. We found that there is only a 5.4% differences between the simulation and the SMCI/Dragon model.