Graph planning with expected finite horizon

Chatterjee K, Doyen L. 2022. Graph planning with expected finite horizon. Journal of Computer and System Sciences. 129, 1–21.


Journal Article | Epub ahead of print | English

Scopus indexed
Author
Chatterjee, KrishnenduISTA ; Doyen, Laurent
Department
Abstract
Fixed-horizon planning considers a weighted graph and asks to construct a path that maximizes the sum of weights for a given time horizon T. However, in many scenarios, the time horizon is not fixed, but the stopping time is chosen according to some distribution such that the expected stopping time is T. If the stopping-time distribution is not known, then to ensure robustness, the distribution is chosen by an adversary as the worst-case scenario. A stationary plan for every vertex always chooses the same outgoing edge. For fixed horizon or fixed stopping-time distribution, stationary plans are not sufficient for optimality. Quite surprisingly we show that when an adversary chooses the stopping-time distribution with expected stopping-time T, then stationary plans are sufficient. While computing optimal stationary plans for fixed horizon is NP-complete, we show that computing optimal stationary plans under adversarial stopping-time distribution can be achieved in polynomial time.
Publishing Year
Date Published
2022-05-06
Journal Title
Journal of Computer and System Sciences
Acknowledgement
This work was partially supported by Austrian Science Fund (FWF) NFN Grant No RiSE/SHiNE S11407 and by the grant ERC CoG 863818 (ForM-SMArt).
Volume
129
Page
1-21
ISSN
eISSN
IST-REx-ID

Cite this

Chatterjee K, Doyen L. Graph planning with expected finite horizon. Journal of Computer and System Sciences. 2022;129:1-21. doi:10.1016/j.jcss.2022.04.003
Chatterjee, K., & Doyen, L. (2022). Graph planning with expected finite horizon. Journal of Computer and System Sciences. Elsevier. https://doi.org/10.1016/j.jcss.2022.04.003
Chatterjee, Krishnendu, and Laurent Doyen. “Graph Planning with Expected Finite Horizon.” Journal of Computer and System Sciences. Elsevier, 2022. https://doi.org/10.1016/j.jcss.2022.04.003.
K. Chatterjee and L. Doyen, “Graph planning with expected finite horizon,” Journal of Computer and System Sciences, vol. 129. Elsevier, pp. 1–21, 2022.
Chatterjee K, Doyen L. 2022. Graph planning with expected finite horizon. Journal of Computer and System Sciences. 129, 1–21.
Chatterjee, Krishnendu, and Laurent Doyen. “Graph Planning with Expected Finite Horizon.” Journal of Computer and System Sciences, vol. 129, Elsevier, 2022, pp. 1–21, doi:10.1016/j.jcss.2022.04.003.
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