Abstract
In a large-scale parallel computing system, partitionability is an important feature that allows a large system to be partitioned into smaller subsystems so that multiple tasks can be run independently on different subsystems. In such a system, a task run on a subsystem may need to be migrated to another subsystem if the subsystem is faulty, if load balance is needed, or if subsystem restructuring is desired. This paper studies the partitionability of k-extra-stage Omega networks and presents an optimal task migration algorithm for k-extra-stage Omega networks.
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