A faster strongly polynomial minimum cost flow algorithm
STOC '88 Proceedings of the twentieth annual ACM symposium on Theory of computing
Finding minimum-cost circulations by canceling negative cycles
Journal of the ACM (JACM)
Artificial Intelligence - Special issue on knowledge representation
Network flows: theory, algorithms, and applications
Network flows: theory, algorithms, and applications
Backtracking algorithms for disjunctions of temporal constraints
AAAI '98/IAAI '98 Proceedings of the fifteenth national/tenth conference on Artificial intelligence/Innovative applications of artificial intelligence
AAAI'04 Proceedings of the 19th national conference on Artifical intelligence
Temporal constraint reasoning with preferences
IJCAI'01 Proceedings of the 17th international joint conference on Artificial intelligence - Volume 1
Computing Tight Time Windows for RCPSPWET with the Primal-Dual Method
CPAIOR '07 Proceedings of the 4th international conference on Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems
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In this paper, we will provide a fast polynomialtime algorithm for solving simple temporal problems (STPs) with piecewise linear convex preference functions and a utilitarian objective function. Our algorithm is motivated by the study of the linear programming (LP)-dual of a given mincost circulation problem (MCCP). We will also show how this duality relationship between simple temporal problems with preferences (STPPs) and MCCPs leads to fast incremental algorithms for solving the former. Our algorithms bear important implications in planning, scheduling and execution monitoring scenarios where (partial) plans are subject to repeated changes, and the most preferred solutions to the underlying STPPs have to be computed and updated fast (incrementally).