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arXiv · 2107.06216

Bag-of-Tasks Scheduling on Related Machines

Anupam Gupta·Amit Kumar·Sahil Singla
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Abstract

We consider online scheduling to minimize weighted completion time on related machines, where each job consists of several tasks that can be concurrently executed. A job gets completed when all its component tasks finish. We obtain an $O(K^3 \log^2 K)$-competitive algorithm in the non-clairvoyant setting, where $K$ denotes the number of distinct machine speeds. The analysis is based on dual-fitting on a precedence-constrained LP relaxation that may be of independent interest.

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Anupam Gupta, Amit Kumar, Sahil Singla. 2021-07-13. Bag-of-Tasks Scheduling on Related Machines. https://arxiv.org/abs/2107.06216

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