Extensions to the Multi-Installment Algorithm: Affine Costs and Output Data Transfers

Yang Yang and Henri Casanova
July 16, 2003

Divisible workload applications occur in many fields of science and engineering. Although these application can be easily parallelized in a master-worker fashion, they pose several scheduling challenges. Previously proposed scheduling algorithms either distribute work to processors in a single round of work allocation or in multiple rounds. Multi-round algorithms can achieve better overlap of computation and communication but are more difficult to analyze. Consequently, a number of open questions still remain for multi-round scheduling. In this paper we improve on the seminal "multi-installment" algorithm proposed by Bharadwaj. et al. for homogeneous star networks. Their work suffers from two important limitations: (i) communication and computation latencies are assumed to be negligible; and (ii) size of application output data is assumed to be negligible. These two limitations strongly restrict the applicability of multi-installment to real-world platforms and applications. In this paper we remove both limitations.

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