Estimating the Probability of Meeting a Deadline in Hierarchical Plans
Abstract
Given a hierarchical plan (or schedule) with uncertain task times, we may need to determine the probability that a given plan will satisfy a given deadline. This problem is shown to be NP-hard for series-parallel hierarchies. We provide a polynomial-time approximation algorithm for it. Computing the expected makespan of an hierarchical plan is also shown to be NP-hard. We examine the approximation bounds empirically and demonstrate where our scheme is superior to sampling and to exact computation.
Cite
Text
Cohen et al. "Estimating the Probability of Meeting a Deadline in Hierarchical Plans." International Joint Conference on Artificial Intelligence, 2015.Markdown
[Cohen et al. "Estimating the Probability of Meeting a Deadline in Hierarchical Plans." International Joint Conference on Artificial Intelligence, 2015.](https://mlanthology.org/ijcai/2015/cohen2015ijcai-estimating/)BibTeX
@inproceedings{cohen2015ijcai-estimating,
title = {{Estimating the Probability of Meeting a Deadline in Hierarchical Plans}},
author = {Cohen, Liat and Shimony, Solomon Eyal and Weiss, Gera},
booktitle = {International Joint Conference on Artificial Intelligence},
year = {2015},
pages = {1551-1557},
url = {https://mlanthology.org/ijcai/2015/cohen2015ijcai-estimating/}
}