Dynamic multi phase scheduling for heterogeneous clusters

Distributed computing systems are a viable and less expensive alternative to parallel computers. However, concurrent programming methods in distributed systems have not been studied as extensively as for parallel computers. Some of the main research issues are how to deal with scheduling and load balancing of such a system, which may consist of heterogeneous computers. In the past, a variety of dynamic scheduling schemes suitable for parallel loops (with independent iterations) on heterogeneous computer clusters have been obtained and studied. However, no study of dynamic schemes for loops with iteration dependencies has been reported so far. In this work we study the problem of scheduling loops with iteration dependencies for heterogeneous (dedicated and non-dedicated) clusters. The presence of iteration dependencies incurs an extra degree of difficulty and makes the development of such schemes quite a challenge. We extend three well known dynamic schemes (CSS, TSS and DTSS) by introducing synchronization points at certain intervals so that processors compute in pipelined fashion. Our scheme is called dynamic multi-phase scheduling (DMPS) and we apply it to loops with iteration dependencies. We implemented our new scheme on a network of heterogeneous computers and studied its performance. Through extensive testing on two real-life applications (the heat equation and the Floyd-Steinberg algorithm), we show that the proposed method is efficient for parallelizing nested loops with dependencies on heterogeneous systems.