Abstract

The problem of redistributing work load on parallel computers is considered. An optimal redistribution algorithm, which minimises the Euclidean norm of the migrating load, is derived. The problem is further studied by modelling with the unsteady heat conduction equation. Relationship between this algorithm and other dynamic load balancing algorithms is discussed. Convergence of the algorithm for special graphs is studied. Finally numerical results on randomly generated graphs are given to demonstrate the effectiveness of the algorithm. 1. Introduction To achieve good performance on a parallel computer, it is essential to maintain a balanced work load among all the processors of the computer. Sometimes the load can be balanced statically. However in many cases the load on each processor can not be predicted a priori. One example that demonstrates the need for both static and dynamic load balancing strategies, which is also the main motivation for this paper, is in the parallel finite e...

Citations