Distributing and scheduling divisible task on parallel communicating processors

In this paper we propose a novel scheme for scheduling divisible task on parallel processors connected by system interconnection network with arbitrary topology. The divisible task is a computation that can be divided into arbitrary independent subtasks solved in parallel. Our model takes into consideration communication initial time and communication delays between processors. Moreover, by constructing the corresponding Network Spanning Tree (NST) for a network, our scheme can be applied to all kinds of network topologies. We present the concept of Balanced Task Distribution Tree and use it to design the Equation Set Creation Algorithm in which the set of linear equations is created by traversing the NST in post-order. After solving the created equations, we get the optimal task assignment scheme. Experiments confirm the applicability of our scheme in real-life situations