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We study the expected completion time of some recently proposed algorithmsfor distributed computing which redundantly assign computing tasks to multiplemachines in order to tolerate a certain number of machine failures. Weanalytically show that not only the amount of redundancy but also thetask-to-machine assignments affect the latency in a distributed system. Westudy systems with a fixed number of computing tasks that are split in possiblyoverlapping batches, and independent exponentially distributed machine servicetimes. We show that, for such systems, the uniform replication of non-overlapping (disjoint) batches of computing tasks achieves the minimum expectedcomputing time.

On the Effect of Task-to-Worker Assignment in Distributed Computing Systems with Stragglers