h-RELATION MODELS FOR CURRENT STANDARD PARALLEL PLATFORMS

ASIANO RODRIGUEZ and JOSE RODA and DANIEL.G. MORALES and FRANCISCO ALMEIDA

Abstract
One of the most fundamental assumptions of the Bulk Synchronous Parallelmodel is the h-relation hypothesis. This hypothesis states that the communication time of a given superstep is proportional to the maximumnumber h of packets communicated by any processor. This paper studies thevalidity of the h-relation hypothesis on four current standard parallelplatforms. The error introduced by the influence of the number ofprocessors is measured on five communication patterns. We also measure theinfluence of the communication patterns on the time invested in anh-relation. The asynchronous nature of many current standard messagepassing programs do not easily fits inside the BSP model. Often this hasbeen criticized as the most serious drawback of BSP. Based in theh-relation hypothesis we propose an extension to BSP model valid forstandard message passing parallel programs. The use and accuracy of h-relation models on standard message passing programs are illustrated using a parallel algorithm to compute the Discrete Fast Fourier Transform.
Contact
CASIANO RODRIGUEZ_LEON
DPTO. ESTADISTICA, I.O. Y COMPUTACION,UNIVERSIDAD DE LA LAGUNA,LA LAGUNA,38271 - S/C DE TENERIFE,SPAIN,
roda@ull.es