Hybrid Analytical Performance Models of Parallel Computers

Abstract

The paper is a follow up to the performance modelling of dominant parallel computers (NOW, GRID) with analytical hybrid models (mixed) based on combinations of a more precisely developed corrected standard analytical model (M/M/1and M/M/m) and on an improved analytical model (M/D/1and M/D/m). Firstly, the paper briefly describes the steps of development of parallel computer architectures and then it summarises the basic concepts of performance evaluation. In the case of using SMP parallel system as node computer, the suggested models use for all the activities of node combinations of M/M/m and M/D/1 or M/D/m and M/M/1different (hybrid) queuing theory systems. The achieved results of both developed analytical models have been compared with the results of other alternative evaluation method, based on simulation, to verify the accuracy of developed analytical models. All developed and presented analytical models could be used for various real ranges of input parameters which influence the final performance of analysed connected computing nodes for the practice.

Keywords

• parallel computer
• computing node
• network of workstation (now)
• grid
• analytical modelling
• queuing theory
• performance evaluation
• queuing theory system
• simulation