Abstract
In this paper, we consider the problem of allocating a large number of independent, equal-sized tasks to a heterogeneous ”grid” computing platform. We use a non-oriented graph to model a grid, where resources can have different speeds of computation and communication, as well as different overlap capabilities. We show how to determine the optimal steady-state scheduling strategy for each processor.
Because spanning trees are easier to deal with in practice, a natural question arises: how to extract the best spanning tree, i.e. the one with optimal steady-state throughput, out of a general interconnection graph? We show that this problem is NP-Complete. Still, we introduce and compare several low-complexity heuristics to determine a sub-optimal spanning tree.
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Banino, C., Beaumont, O., Legrand, A., Robert, Y. (2002). Scheduling Strategies for Master-Slave Tasking on Heterogeneous Processor Grids. In: Fagerholm, J., Haataja, J., Järvinen, J., Lyly, M., Råback, P., Savolainen, V. (eds) Applied Parallel Computing. PARA 2002. Lecture Notes in Computer Science, vol 2367. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48051-X_42
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DOI: https://doi.org/10.1007/3-540-48051-X_42
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