A new approach to the maximum-flow problem
Journal of the ACM (JACM)
Faster Algorithms for the Quickest Transshipment Problem
SIAM Journal on Optimization
Solving Evacuation Problems Efficiently--Earliest Arrival Flows with Multiple Sources
FOCS '06 Proceedings of the 47th Annual IEEE Symposium on Foundations of Computer Science
Multicommodity flows over time: Efficient algorithms and complexity
Theoretical Computer Science
SIAM Journal on Computing
Discrete Applied Mathematics
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In this paper, we consider the universally quickest transshipment problem in a dynamic network where each arc has not only a capacity but also a transit time. The problem asks for minimizing the time when the last supply reaches the sink as well as simultaneously maximizing the amount of supply which has reached the sink at every time step. In this paper, we propose a polynomial-time algorithm for the problem in the class of dynamic networks which is a generalization of grid networks with uniform capacity and uniform transit time.