conference paper
Graph planning with expected finite horizon
published
yes
Krishnendu
Chatterjee
author 2E5DCA20-F248-11E8-B48F-1D18A9856A870000-0002-4561-241X
Laurent
Doyen
author
KrCh
department
LICS: Symposium on Logic in Computer Science
Graph planning gives rise to fundamental algorithmic questions such as shortest path, traveling salesman problem, etc. A classical problem in discrete planning is to consider a weighted graph and 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, to represent 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. Consequently, our polynomial-time algorithm for adversarial stopping time also computes an optimal plan among all possible plans.
IEEE2019Vancouver, BC, Canada
eng
34th Annual ACM/IEEE Symposium on Logic in Computer Science
9781728136080
1802.0364210.1109/lics.2019.8785706
1-13
K. Chatterjee, L. Doyen, in:, 34th Annual ACM/IEEE Symposium on Logic in Computer Science, IEEE, 2019, pp. 1–13.
Chatterjee K, Doyen L. 2019. Graph planning with expected finite horizon. 34th Annual ACM/IEEE Symposium on Logic in Computer Science. LICS: Symposium on Logic in Computer Science, 1–13.
Chatterjee K, Doyen L. Graph planning with expected finite horizon. In: <i>34th Annual ACM/IEEE Symposium on Logic in Computer Science</i>. IEEE; 2019:1-13. doi:<a href="https://doi.org/10.1109/lics.2019.8785706">10.1109/lics.2019.8785706</a>
Chatterjee, K., & Doyen, L. (2019). Graph planning with expected finite horizon. In <i>34th Annual ACM/IEEE Symposium on Logic in Computer Science</i> (pp. 1–13). Vancouver, BC, Canada: IEEE. <a href="https://doi.org/10.1109/lics.2019.8785706">https://doi.org/10.1109/lics.2019.8785706</a>
Chatterjee, Krishnendu, and Laurent Doyen. “Graph Planning with Expected Finite Horizon.” <i>34th Annual ACM/IEEE Symposium on Logic in Computer Science</i>, IEEE, 2019, pp. 1–13, doi:<a href="https://doi.org/10.1109/lics.2019.8785706">10.1109/lics.2019.8785706</a>.
Chatterjee, Krishnendu, and Laurent Doyen. “Graph Planning with Expected Finite Horizon.” In <i>34th Annual ACM/IEEE Symposium on Logic in Computer Science</i>, 1–13. IEEE, 2019. <a href="https://doi.org/10.1109/lics.2019.8785706">https://doi.org/10.1109/lics.2019.8785706</a>.
K. Chatterjee and L. Doyen, “Graph planning with expected finite horizon,” in <i>34th Annual ACM/IEEE Symposium on Logic in Computer Science</i>, Vancouver, BC, Canada, 2019, pp. 1–13.
74022020-01-29T16:18:33Z2021-01-12T08:13:25Z