Chance-constrained Scheduling via Conflict-directed Risk Allocation
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Williams_Chance-constrained scheduling via.pdf
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Author(s) •
Wang, Andrew J.
Williams, Brian Charles
Date Issued
January 2015
Journal
Proceedings of the Twenty-Ninth AAAI Conference on Artificial Intelligence (AAAI-15)
Publisher
Association for the Advancement of Artificial Intelligence
Citation
Wang, Andrew J., and Brian C. Williams. "Chance-constrained Scheduling via Conflict-directed Risk Allocation." in Twenty-Ninth AAAI Conference on Artificial Intelligence (AAAI-15), January, 25-30, 2015, Austin, Texas, USA.
Version
Author's final manuscript
Abstract
Temporal uncertainty in large-scale logistics forces one to trade off between lost efficiency through built-in slack and costly replanning when deadlines are missed. Due to the difficulty of reasoning about such likelihoods and consequences, a computational framework is needed to quantify and bound the risk of violating scheduling requirements. This work addresses the chance-constrained scheduling problem, where actions’ durations are modeled probabilistically. Our solution method uses conflict-directed risk allocation to efficiently compute a scheduling policy. The key insight, compared to previous work in probabilistic scheduling, is to decouple the reasoning about temporal and risk constraints. This decomposes the problem into a separate master and subproblem, which can be iteratively solved much quicker. Through a set of simulated car-sharing scenarios, it is empirically shown that conflict-directed risk allocation computes solutions nearly an order of magnitude faster than prior art does, which considers all constraints in a single lump-sum optimization.
MIT Department
Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Massachusetts Institute of Technology. Department of Aeronautics and Astronautics
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
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DOI of Published Version
http://www.aaai.org/Conferences/AAAI/2015/aaai15schedule.pdf